Mathematical biology

Mathematical Biology is the application of mathematical modelling to solve problems in biology and physiology.

Staff

Publications

2024

Kory, J., Stewart, P.S., Hill, N.A., Luo, X., Pandolfi, A. (2024) A discrete-to-continuum model for the human cornea with application to keratoconus. Royal Society Open Science,

Richardson, S. H., Mackenzie, J., Thekkethil, N., Feng, L., Lee, J., Berry, C., Hill, N., Luo, X., Gao, H. (2024) Cardiac perfusion coupled with a structured coronary network tree. Computer Methods in Applied Mechanics and Engineering,

Miller, L., Penta, R. (2024) Effective double-poroelasticity derived via homogenisation of two non-interacting solid phases percolated by a viscous fluid. European Journal of Mechanics - A/Solids, 105, (doi: 10.1016/j.euromechsol.2023.105219)

Spelman, T. A., Onah, I. S., MacTaggart, D., Stewart, P. S. (2024) Elastic jump propagation across a blood vessel junction. Royal Society Open Science,

Cobbold, C., Dawes, A., Schwartz, E. J., Tyson, R. C. (2024) Exploring interdisciplinary appointments: a focused perspective on mathematical biology. Notices of the American Mathematical Society,

Thekkethil, N., Köry, J., Guo, M., Stewart, P. S., Hill, N. A., Luo, X. (2024) Modelling the rheology of living cell cytoplasm: Poroviscoelasticity and fluid-to-solid transition. Biomechanics and Modeling in Mechanobiology,

Girelli, A., Giantesio, G., Musesti, A., Penta, R. (2024) Multiscale homogenisation for dual porosity time-dependent Darcy-Brinkman/Darcy coupling and its application to the lymph node. Royal Society Open Science,

Cousins, J. R.L., Bhadwal, A. S., Mottram, N. J., Brown, C. V., Wilson, S. K. (2024) Flow manipulation of a nematic liquid crystal in a Hele-Shaw cell with an electrically-controlled viscous obstruction. Journal of Fluid Mechanics,

Yang, Y., Husmeier, D., Gao, H., Berry, C., Carrick, D., Radjenovic, A. (2024) Automatic detection of myocardial ischaemia using generalisable spatio-temporal hierarchical Bayesian modelling of DCE-MRI. Computerized Medical Imaging and Graphics, 113, (doi: 10.1016/j.compmedimag.2024.102333)

Wang, Z., Wang, C., Zhao, F., Ren, F., Luo, X., Tang, H. (2024) Fluid-structure interaction in phaco-emulsification based cataract surgery. International Journal of Mechanical Sciences, 267, (doi: 10.1016/j.ijmecsci.2024.109022)

Zhuan, X., Guan, D., Theobald, P., Luo, X. (2024) A Mixed Trigger Volumetric Growth Law for Cylindrical Deformation In Stressed Configurations. Mathematics and Mechanics of Solids,

Guan, D., Tian, L., Li, W., Gao, H. (2024) Using LDDMM and a kinematic cardiac growth model to quantify growth and remodelling in rat hearts under PAH. Computers in Biology and Medicine, 171, (doi: 10.1016/j.compbiomed.2024.108218)

Al Mudarra, M. M., Ramírez-Torres, A. (2024) Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241230269)

Du, Y., Luo, X., Hill, N. A. (2024) Connecting weakly nonlinear elasticity theories of isotropic hyperelastic materials. Mathematics and Mechanics of Solids,

Feng, L., Gao, H., Luo, X. (2024) Whole-heart modelling with valves in a fluid–structure interaction framework. Computer Methods in Applied Mechanics and Engineering, 420, (doi: 10.1016/j.cma.2023.116724)

Miller, L., Penta, R. (2024) Homogenization of a coupled electrical and mechanical bidomain model for the myocardium. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865231207600)

Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A., Olufsen, M. S. (2024) Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area, and wall thickness in normal and hypertensive murine left pulmonary arteries. International Journal for Numerical Methods in Biomedical Engineering, (doi: 10.1002/cnm.3798)

2023

Zhou, J., Husmeier, D., Gao, H., Yin, C., Qiu, C., Jing, X., Qi, Y., Liu, W. (2023) Bayesian inversion of frequency-domain airborne EM data with spatial correlation prior information. IEEE Transactions on Geoscience and Remote Sensing, 62, (doi: 10.1109/TGRS.2023.3344946)

Fülöp, Z. B., Ramírez-Torres, A., Penta, R. (2023) Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies. Zeitschrift für Angewandte Mathematik und Physik, 75, (doi: 10.1007/s00033-023-02141-3)

Dalton, D., Husmeier, D., Gao, H. (2023) Physics-informed graph neural network emulation of soft-tissue mechanics computer methods in applied mechanics and engineering. Computer Methods in Applied Mechanics and Engineering, 417, (doi: 10.1016/j.cma.2023.116351)

Mascheroni, P., Penta, R., Merodio, J. (2023) The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues. Biomechanics and Modeling in Mechanobiology, 22, pp. 1901-1917. (doi: 10.1007/s10237-023-01742-1)

Ramírez-Torres, A., Penta, R., Grillo, A. (2023) Effective properties of fractional viscoelastic composites via two-scale asymptotic homogenization. Mathematical Methods in the Applied Sciences, 46, pp. 16500-16520. (doi: 10.1002/mma.9457)

Gupta, P., MacTaggart, D., Simitev, R. D. (2023) Differential rotation in convecting spherical shells with non-uniform viscosity and entropy diffusivity. Fluids, 8, (doi: 10.3390/fluids8110288)

Carturan, B. S., Siewe, N., Cobbold, C. A., Tyson, R. C. (2023) Bumble bee pollination and the wildflower/crop trade-off: When do wildflower enhancements improve crop yield? Ecological Modelling, 484, (doi: 10.1016/j.ecolmodel.2023.110447)

Han, H., Guo, B., Gao, P., Yang, F., Sun, C., Hill, N. A., Liu, H. (2023) Finite‐element simulation of in‐plane tear propagation in the dissected aorta: implications for the propagation mechanism. International Journal for Numerical Methods in Biomedical Engineering, 39, (doi: 10.1002/cnm.3743)

Köry, J., Hill, N.A., Luo, X.Y., Stewart, P.S. (2023) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences,

Ge, Y., Husmeier, D., Lazarus, A., Rabbani, A., Gao, H. (2023) Bayesian inference of cardiac models emulated with a time series Gaussian process. International Aset Inc.

Guan, D., Zhuan, X., Luo, X., Gao, H. (2023) An updated Lagrangian constrained mixture model of pathological cardiac growth and remodelling. Acta Biomaterialia, 166, pp. 375-399. (doi: 10.1016/j.actbio.2023.05.022)

Girelli, A., Giantesio, G., Musesti, A., Penta, R. (2023) Effective governing equations for dual porosity Darcy-Brinkman systems subjected to inhomogeneous body forces and their application to the lymph node. Proceedings of the Royal Society Series A: Mathematical, Physical and Engineering Sciences, 479, (doi: 10.1098/rspa.2023.0137)

Xia, Y., Yuan, M., Dobrea, A., Li, C., Heidari, H., Mottram, N., Ghannam, R. (2023) Reconfigurable wearable antenna for 5G applications using nematic liquid crystals. Nano Select, 4, pp. 513-524. (doi: 10.1002/nano.202200209)

Miller, L., Ramirez-Torres, A., Rodríguez-Ramos, R., Penta, R. (2023) Effective governing equations for viscoelastic composites. Materials, 16, (doi: 10.3390/ma16144944)

Rathore, A., Sharma, A., Shah, S., Sharma, N., Torney, C., Guttal, V. (2023) Multi-Object Tracking in Heterogeneous environments (MOTHe) for animal video recordings. PeerJ, 11, (doi: 10.7717/peerj.15573)

Guan, D., Wang, Y., Luo, X., Danton, M., Gao, H. (2023) A Modelling Study of Pulmonary Regurgitation in a Personalized Human Heart. (doi: 10.1007/978-3-031-35302-4_60)

Roque-Piedra, A., Rodríguez-Ramos, R., Penta, R., Ramírez-Torres, A. (2023) Effective properties of homogenised nonlinear viscoelastic composites. Materials, 16, (doi: 10.3390/ma16113974)

Rabbani, A., Gao, H., Lazarus, A., Dalton, D., Ge, Y., Mangion, K., Berry, C., Husmeier, D. (2023) Image-based estimation of the left ventricular cavity volume using deep learning and Gaussian process with cardio-mechanical applications. Computerized Medical Imaging and Graphics, 106, (doi: 10.1016/j.compmedimag.2023.102203)

Miller, L., Penta, R. (2023) Investigating the effects of microstructural changes induced by myocardial infarction on the elastic parameters of the heart. Biomechanics and Modeling in Mechanobiology, 22, pp. 1019-1033. (doi: 10.1007/s10237-023-01698-2)

Simitev, R. D., Al dawoud, A., Aziz, M. H.N., Myles, R., Smith, G. L. (2023) Phenomenological analysis of simple ion channel block in large populations of uncoupled cardiomyocytes. Mathematical Medicine and Biology, 40, pp. 175-198. (doi: 10.1093/imammb/dqad001)

Cai, L., Zhao, T., Wang, Y., Luo, X., Gao, H. (2023) Fluid–structure interaction simulation of pathological mitral valve dynamics in a coupled mitral valve-left ventricle model. Intelligent Medicine, 3, pp. 104-114. (doi: 10.1016/j.imed.2022.06.005)

Paun, I., Husmeier, D., Torney, C. J. (2023) Stochastic variational inference for scalable non-stationary Gaussian process regression. Statistics and Computing, 33, (doi: 10.1007/s11222-023-10210-w)

Al Sariri, T., Simitev, R. D., Penta, R. (2023) Optimal heat transport induced by magnetic nanoparticle delivery in vascularised tumours. Journal of Theoretical Biology, 561, (doi: 10.1016/j.jtbi.2022.111372)

Zhang, C., Gao, H., Hu, X. (2023) A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network. Computer Methods in Applied Mechanics and Engineering, 407, (doi: 10.1016/j.cma.2023.115885)

Miller, L., Penta, R. (2023) Micromechanical analysis of the effective stiffness of poroelastic composites. European Journal of Mechanics - A/Solids, 98, (doi: 10.1016/j.euromechsol.2022.104875)

Cousins, J. R.L., Bhadwal, A. S., Corson, L. T., Duffy, B. R., Sage, I. C., Brown, C. V., Mottram, N. J., Wilson, S. K. (2023) Weak-anchoring effects in a thin pinned ridge of nematic liquid crystal. Physical Review E, 107, (doi: 10.1103/PhysRevE.107.034702)

Thekkethil, N., Rossi, S., Gao, H., Richardson, S. I. H., Griffith, B. E., Luo, X. (2023) A stabilized linear finite element method for anisotropic poroelastodynamics with application to cardiac perfusion. Computer Methods in Applied Mechanics and Engineering, 405, (doi: 10.1016/j.cma.2022.115877)

Wang, D., Luo, X., Liu, Z., Stewart, P. S. (2023) Flow-induced surface instabilities in a flexible-walled channel with a heavy wall. Journal of Fluid Mechanics, 956, (doi: 10.1017/jfm.2022.1086)

Du, Y., Stewart, P., Hill, N. A., Yin, H., Penta, R., Köry, J., Luo, X., Ogden, R. (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, (doi: 10.1016/j.jmps.2022.105139)

Torney, C. J., Laxton, M., Lloyd‐Jones, D. J., Kohi, E. M., Frederick, H. L., Moyer, D. C., Mrisha, C., Mwita, M., Hopcraft, J. G. C. (2023) Estimating the abundance of a group-living species using multi-latent spatial models. Methods in Ecology and Evolution, 14, pp. 77-86. (doi: 10.1111/2041-210x.13941)

Stewart, P. S., Hilgenfeldt, S. (2023) Gas-liquid foam dynamics: from structural elements to continuum descriptions. Annual Reviews of Fluid Mechanics, 55, pp. 323-350. (doi: 10.1146/annurev-fluid-032822-125417)

Andrade, R., Cobbold, C. A. (2023) Heterogeneity in behaviour and movement can influence the stability of predator–prey periodic travelling waves. Bulletin of Mathematical Biology, 85, (doi: 10.1007/s11538-022-01101-8)

Gaskell, J., Campioni, N., Morales, J. M., Husmeier, D., Torney, C. J. (2023) Inferring the interaction rules of complex systems with graph neural networks and approximate Bayesian computation. Journal of the Royal Society: Interface, 20, (doi: 10.1098/rsif.2022.0676)

Miller, L., Di Stefano, S., Grillo, A., Penta, R. (2023) Homogenised governing equations for pre-stressed poroelastic composites. Continuum Mechanics and Thermodynamics, 35, pp. 2275-2300. (doi: 10.1007/s00161-023-01247-3)

2022

Paun, I., Husmeier, D., Hopcraft, J. G. C., Masolele, M. M., Torney, C. J. (2022) Inferring spatially varying animal movement characteristics using a hierarchical continuous-time velocity model. Ecology Letters, 25, pp. 2726-2738. (doi: 10.1111/ele.14117)

Al Sariri, T., Penta, R. (2022) Multi-scale modelling of nanoparticle delivery and heat transport in vascularised tumours. Mathematical Medicine and Biology, 39, pp. 332-367. (doi: 10.1093/imammb/dqac009)

Gupta, P., Simitev, R.D., MacTaggart, D. (2022) A study of global magnetic helicity in self-consistent spherical dynamos. Geophysical and Astrophysical Fluid Dynamics, 116, pp. 521-536. (doi: 10.1080/03091929.2022.2137878)

Yang, Y., Gao, H., Berry, C., Carrick, D., Radjenovic, A., Husmeier, D. (2022) Classification of myocardial blood flow based on dynamic contrast-enhanced magnetic resonance imaging using hierarchical Bayesian models. Journal of the Royal Statistical Society: Series C (Applied Statistics), 71, pp. 1085-1115. (doi: 10.1111/rssc.12568)

Lachaud, Q., Aziz, M. H. N., Burton, F. L., Macquaide, N., Myles, R. C., Simitev, R. D., Smith, G. L. (2022) Electrophysiological heterogeneity in large populations of rabbit ventricular cardiomyocytes. Cardiovascular Research, 118, pp. 3112-3125. (doi: 10.1093/cvr/cvab375)

Dalton, D., Gao, H., Husmeier, D. (2022) Emulation of cardiac mechanics using Graph Neural Networks. Computer Methods in Applied Mechanics and Engineering, 401, (doi: 10.1016/j.cma.2022.115645)

Giusteri, G. G., Penta, R. (2022) Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials. Mechanics Research Communications, 126, (doi: 10.1016/j.mechrescom.2022.104001)

Harris, C., Brummitt, N., Cobbold, C. A., Reeve, R. (2022) Strong phylogenetic signals in global plant bioclimatic envelopes. Global Ecology and Biogeography, 31, pp. 2191-2203. (doi: 10.1111/geb.13564)

Barry, R. G., Hill, N. A., Stewart, P. S. (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478, (doi: 10.1098/rspa.2022.0065)

Aziz, M. H.N., Simitev, R. D. (2022) Estimation of parameters for an archetypal model of cardiomyocyte membrane potentials. International Journal of Bioautomation, 26, pp. 255-272. (doi: 10.7546/ijba.2022.26.3.000832)

Lesniewska, M., Mottram, N., Henrich, O. (2022) Controllable particle migration in liquid crystal flows. Soft Matter, 18, pp. 6942-6953. (doi: 10.1039/D2SM00707J)

Cruz-González, O.L., Ramírez-Torres, A., Rodríguez-Ramos, R., Penta, R., Lebon, F. (2022) Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media. European Journal of Mechanics - A/Solids, 95, (doi: 10.1016/j.euromechsol.2022.104617)

Lazarus, A., Gao, H., Luo, X., Husmeier, D. (2022) Improving cardio-mechanic inference by combining in vivo strain data with ex vivo volume–pressure data. Journal of the Royal Statistical Society: Series C (Applied Statistics), 71, pp. 906-931. (doi: 10.1111/rssc.12560)

Husmeier, D., Dalton, D., Lazarus, A., Gao, H. (2022) Forward and Inverse Uncertainty Quantification in Cardiac Mechanics. (doi: 10.11159/icsta22.161)

Yang, Y., Gao, H., Berry, C., Radjenovic, A., Husmeier, D. (2022) Myocardial Perfusion Classification Using A Markov Random Field Constrained Gaussian Mixture Model. (doi: 10.11159/icsta22.146)

Kavwele, C. M., Torney, C. J., Morrison, T. A., Fulford, S., Masolele, M. M., Masoy, J., Hopcraft, J. G. C. (2022) Non‐local effects of human activity on the spatial distribution of migratory wildlife in Serengeti National Park, Tanzania. Ecological Solutions and Evidence, 3, (doi: 10.1002/2688-8319.12159)

Brown, C. V., Bhadwal, A. S., Edwards, A. M. J., Sage, I. C., Saxena, A., Mottram, N. J. (2022) Frequency-controlled dielectrophoresis-driven wetting of nematic liquid crystals. Journal of Physics D: Applied Physics, 55, (doi: 10.1088/1361-6463/ac6466)

Simitev, R. D., MacTaggart, D., Teed, R., Candelaresi, S. (2022) Introduction. Geophysical and Astrophysical Fluid Dynamics, 116, pp. 235-236. (doi: 10.1080/03091929.2022.2107377)

Guan, D., Luo, X., Gao, H. (2022) Effect of Myofibre Dispersion on Ventricular Pump Function.

Guan, D., Tian, L., Gao, H. (2022) Growth and Remodelling of Right Ventricle Under Pulmonary Arterial Hypertension.

Guan, D., Gao, H., Cai, L., Luo, X. (2022) A new active contraction model for the myocardium using a modified Hill model. Computers in Biology and Medicine, 145, (doi: 10.1016/j.compbiomed.2022.105417)

Quinn, J. J., Simitev, R. D. (2022) Flute and kink instabilities in a dynamically twisted flux tube with anisotropic plasma viscosity. Monthly Notices of the Royal Astronomical Society, 512, pp. 4982-4992. (doi: 10.1093/mnras/stac704)

Lazarus, A., Dalton, D., Husmeier, D., Gao, H. (2022) Sensitivity analysis and inverse uncertainty quantification for the left ventricular passive mechanics. Biomechanics and Modeling in Mechanobiology, 21, pp. 953-982. (doi: 10.1007/s10237-022-01571-8)

Borowska, A., Gao, H., Lazarus, A., Husmeier, D. (2022) Bayesian optimisation for efficient parameter inference in a cardiac mechanics model of the left ventricle. International Journal for Numerical Methods in Biomedical Engineering, 38, (doi: 10.1002/cnm.3593)

Qi, N., Lockington, D., Wang, L., Ramaesh, K., Luo, X. (2022) Estimations of critical clear corneal incisions required for lens insertion in cataract surgery: a mathematical aspect. Frontiers in Physiology, 13, (doi: 10.3389/fphys.2022.834214)

Griffiths, I. M., Stewart, P. S. (2022) A hybrid discrete–continuum framework for modelling filtration. Journal of Membrane Science, 647, (doi: 10.1016/j.memsci.2022.120258)

Cobbold, C. A., Lutscher, F., Yurk, B. (2022) Bridging the scale gap: predicting large-scale population dynamics from small-scale variation in strongly heterogeneous landscapes. Methods in Ecology and Evolution, 13, pp. 866-879. (doi: 10.1111/2041-210X.13799)

Zhuan, X., Luo, X.Y. (2022) Volumetric growth of soft tissues evaluated in the current configuration. Biomechanics and Modeling in Mechanobiology, 21, pp. 569-588. (doi: 10.1007/s10237-021-01549-y)

Cousins, J. R.L., Duffy, B. R., Wilson, S. K., Mottram, N. J. (2022) Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478, (doi: 10.1098/rspa.2021.0849)

Škarabot, M., Mottram, N. J., Kaur, S., Imrie, C. T., Forsyth, E., Storey, J. M. D., Mazur, R., Piecek, W., Komitov, L. (2022) Flexoelectric polarization in a nematic liquid crystal enhanced by dopants with different molecular shape polarities. ACS Omega, 7, pp. 9785-9795. (doi: 10.1021/acsomega.2c00023)

Herrada, M.A., Blanco-Trejo, S., Eggers, J., Stewart, P.S. (2022) Global stability analysis of flexible channel flow with a hyperelastic wall. Journal of Fluid Mechanics, 934, (doi: 10.1017/jfm.2021.1131)

Ren, J., Sun, H., Zhao, H., Gao, H., Maclellan, C., Zhao, S., Luo, X. (2022) Effective extraction of ventricles and myocardium objects from cardiac magnetic resonance images with a multi-task learning U-Net. Pattern Recognition Letters, 155, pp. 165-170. (doi: 10.1016/j.patrec.2021.10.025)

Huethorst, E., Mortensen, P., Simitev, R. D., Gao, H., Pohjolainen, L., Talman, V., Ruskoaho, H., Burton, F. L., Gadegaard, N., Smith, G. L. (2022) Conventional rigid 2D substrates cause complex contractile signals in monolayers of human induced pluripotent stem cell derived cardiomyocytes. Journal of Physiology, 600, pp. 483-507. (doi: 10.1113/JP282228)

Ramírez-Torres, A., Penta, R., Grillo, A. (2022) Two-scale, non-local diffusion in homogenised heterogeneous media. Archive of Applied Mechanics, 92, pp. 559-595. (doi: 10.1007/s00419-020-01880-3)

Wang, Z., Wang, C., Zhao, F., Qi, N., Lockington, D., Ramaesh, K., Stewart, P. S., Luo, X., Tang, H. (2022) Simulation of fluid-structure interaction during the phaco-emulsification stage of cataract surgery. International Journal of Mechanical Sciences, 214, (doi: 10.1016/j.ijmecsci.2021.106931)

Zaker, N., Cobbold, C. A., Lutscher, F. (2022) The effect of landscape fragmentation on Turing-pattern formation. Mathematical Biosciences and Engineering, 19, pp. 2506-2537. (doi: 10.3934/mbe.2022116)

Guan, D., Mei, Y., Xu, L., Cai, L., Luo, X., Gao, H. (2022) Effects of dispersed fibres in myocardial mechanics, Part I: passive response. Mathematical Biosciences and Engineering, 19, pp. 3972-3993. (doi: 10.3934/mbe.2022183)

Guan, D., Wang, Y., Xu, L., Cai, L., Luo, X., Gao, H. (2022) Effects of dispersed fibres in myocardial mechanics, Part II: active response. Mathematical Biosciences and Engineering, 19, pp. 4101-4119. (doi: 10.3934/mbe.2022189)

Cai, L., Hao, Y., Ma, P., Zhu, G., Luo, X., Gao, H. (2022) Fluid-structure interaction simulation of calcified aortic valve stenosis. Mathematical Biosciences and Engineering, 19, pp. 13172-13192. (doi: 10.3934/mbe.2022616)

2021

Candelaresi, S., Hornig, G., MacTaggart, D., Simitev, R. D. (2021) On self and mutual winding helicity. Communications in Nonlinear Science and Numerical Simulation, 103, (doi: 10.1016/j.cnsns.2021.106015)

Morrow, A. et al. (2021) Rationale and design of the Medical Research Council Precision medicine with Zibotentan in microvascular angina (PRIZE) trial MRI sub-study. (doi: 10.1136/heartjnl-2021-BSCMR.3)

Brass, D. P., Cobbold, C. A., Ewing, D. A., Purse, B. V., Callaghan, A., White, S. M. (2021) Phenotypic plasticity as a cause and consequence of population dynamics. Ecology Letters, 24, pp. 2406-2417. (doi: 10.1111/ele.13862)

Campioni, N., Husmeier, D., Morales, J., Gaskell, J., Torney, C. J. (2021) Inferring microscale properties of interacting systems from macroscale observations. Physical Review Research, 3, (doi: 10.1103/PhysRevResearch.3.043074)

Miller, L., Penta, R. (2021) Double poroelasticity derived from the microstructure. Acta Mechanica, 232, pp. 3801-3823. (doi: 10.1007/s00707-021-03030-4)

Eliaš, J., Macnamara, C. K. (2021) Mathematical modelling of p53 signalling during DNA damage response: a survey. International Journal of Molecular Sciences, 22, (doi: 10.3390/ijms221910590)

Wang, D.Y., Luo, X.Y., Stewart, P.S. (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model. Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.642)

Melnikov, A., Ogden, R. W., Dorfmann, L., Merodio, J. (2021) Bifurcation analysis of elastic residually-stressed circular cylindrical tubes. International Journal of Solids and Structures, 226-27, (doi: 10.1016/j.ijsolstr.2021.111062)

Ramírez-Torres, A., Di Stefano, S., Grillo, A. (2021) Influence of non-local diffusion in avascular tumour growth. Mathematics and Mechanics of Solids, 26, pp. 1264-1293. (doi: 10.1177/1081286520975086)

Romaszko, L., Borowska, A., Lazarus, A., Dalton, D., Berry, C., Luo, X., Husmeier, D., Gao, H. (2021) Neural network-based left ventricle geometry prediction from CMR images with application in biomechanics. Artificial Intelligence In Medicine, 119, (doi: 10.1016/j.artmed.2021.102140)

Guan, D., Luo, X., Gao, H. (2021) Constitutive modelling of soft biological tissue from ex vivo to in vivo: myocardium as an example. Springer

Feng, L., Gao, H., Qi, N., Danton, M., Hill, N. A., Luo, X. (2021) Fluid-structure interaction in a fully coupled three-dimensional mitral-atrium-pulmonary model. Biomechanics and Modeling in Mechanobiology, 20, pp. 1267-1295. (doi: 10.1007/s10237-021-01444-6)

Huang, R., Ogden, R., Penta, R. (2021) Mathematical modelling of residual-stress based volumetric growth in soft matter. Journal of Elasticity, 145, pp. 223-241. (doi: 10.1007/s10659-021-09834-8)

Dalton, D., Lazarus, A., Rabbani, A., Gao, H., Husmeier, D. (2021) Graph Neural Network Emulation of Cardiac Mechanics. (doi: 10.11159/icsta21.127)

Miller, L., Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites. Applied Sciences, 11, (doi: 10.3390/app11146611)

Wang, D., Luo, X., Stewart, P. S. (2021) Multiple steady and oscillatory solutions in a collapsible channel flow. International Journal of Applied Mechanics, 13, (doi: 10.1142/S1758825121500587)

Cai, L., Zhang, R., Li, Y., Zhu, G., Ma, X., Wang, Y., Luo, X., Gao, H. (2021) The comparison of different constitutive laws and fiber architectures for the aortic valve on fluid-structure interaction simulation. Frontiers in Physiology, 12, (doi: 10.3389/fphys.2021.682893)

Quinn, J., MacTaggart, D., Simitev, R. D. (2021) Kelvin-Helmholtz instability and collapse of a twisted magnetic nullpoint with anisotropic viscosity. Astronomy and Astrophysics, 650, (doi: 10.1051/0004-6361/202140460)

Macnamara, C. (2021) Biomechanical modelling of cancer: Agent‐based force‐based models of solid tumours within the context of the tumour microenvironment. Computational and Systems Oncology, 1, (doi: 10.1002/cso2.1018)

Cruz-González, O.L., Ramírez-Torres, A., Rodríguez-Ramos, R., Otero, J.A., Penta, R., Lebon, F. (2021) Effective behavior of long and short fiber-reinforced viscoelastic composites. Applications in Engineering Science, 6, (doi: 10.1016/j.apples.2021.100037)

Guan, D., Zhuan, X., Holmes, W., Luo, X., Gao, H. (2021) Modelling of fibre dispersion and its effects on cardiac mechanics from diastole to systole. Journal of Engineering Mathematics, 128, (doi: 10.1007/s10665-021-10102-w)

da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T., Xayxanadasy, K. (2021) Steady state solutions in a model of a cholesteric liquid crystal sample. Afrika Matematika, 32, pp. 645-672. (doi: 10.1007/s13370-020-00851-9)

Aziz, M. H.N., Simitev, R. D. (2021) Code for Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials. (doi: 10.5281/zenodo.4568662)

Ewing, D. A., Purse, B. V., Cobbold, C. A., White, S. M. (2021) A novel approach for predicting risk of vector-borne disease establishment in marginal temperate environments under climate change: West Nile virus in the UK. Journal of the Royal Society: Interface, 18, (doi: 10.1098/rsif.2021.0049)

Heath Richardson, S. I., Gao, H., Cox, J., Janiczek, R., Griffith, B. E., Berry, C., Luo, X. (2021) A poroelastic immersed finite element framework for modeling cardiac perfusion and fluid-structure interaction. International Journal for Numerical Methods in Biomedical Engineering, 37, (doi: 10.1002/cnm.3446)

Dorfmann, L., Ogden, R. W. (2021) The effect of residual stress on the stability of a circular cylindrical tube. Journal of Engineering Mathematics, 127, (doi: 10.1007/s10665-021-10097-4)

Wang, Y., Cai, L., Feng, X., Luo, X., Gao, H. (2021) A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain. Journal of Computational Physics, 428, (doi: 10.1016/j.jcp.2020.110081)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling. Mathematical Medicine and Biology, 38, pp. 106-131. (doi: 10.1093/imammb/dqaa014)

Torney, C. J., Morales, J. M., Husmeier, D. (2021) A hierarchical machine learning framework for the analysis of large scale animal movement data. Movement Ecology, 9, (doi: 10.1186/s40462-021-00242-0)

Li, W., Gao, H., Mangion, K., Berry, C., Luo, X. (2021) Apparent growth tensor of left ventricular post myocardial infarction – in human first natural history study. Computers in Biology and Medicine, 129, (doi: 10.1016/j.compbiomed.2020.104168)

Su, Y., Ogden, R. W., Destrade, M. (2021) Bending control and stability of functionally graded dielectric elastomers. Extreme Mechanics Letters, 43, (doi: 10.1016/j.eml.2020.101162)

Simitev, R. D., Busse, F. H. (2021) Onset of inertial magnetoconvection in rotating fluid spheres. Fluids, 6, (doi: 10.3390/fluids6010041)

Mather, J. F., Simitev, R. D. (2021) Regimes of thermo-compositional convection and related dynamos in rotating spherical shells. Geophysical and Astrophysical Fluid Dynamics, 115, pp. 61-84. (doi: 10.1080/03091929.2020.1762875)

Cai, L., Ren, L., Wang, Y., Xie, W., Zhi, G., Gao, H. (2021) Surrogate models based on machine learning methods for parameter estimation of left ventricular myocardium. Royal Society Open Science, 8, (doi: 10.1098/rsos.201121)

Cruz-González, O. L., Ramírez-Torres, A., Rodríguez-Ramos, R., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Sabina, F. J., Lebon, F. (2021) A hierarchical asymptotic homogenization approach for viscoelastic composites. Mechanics of Advanced Materials and Structures, 28, pp. 2190-2201. (doi: 10.1080/15376494.2020.1722872)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling. Mathematical Medicine and Biology, 38, pp. 292-298. (doi: 10.1093/imammb/dqab005)

Penta, R., Ramirez Torres, A., Merodio, J., Rodríguez-Ramos, R. (2021) Effective governing equations for heterogenous porous media subject to inhomogeneous body forces. Mathematics in Engineering, 3, pp. 1-17. (doi: 10.3934/mine.2021033)

Da Silva Costa, A., Mortensen, P., Hortigon-Vinagre, M. P., van der Heyden, M. A. G., Burton, F. L., Gao, H., Simitev, R. D., Smith, G. L. (2021) Electrophysiology of hiPSC-cardiomyocytes co-cultured with HEK cells expressing the inward rectifier channel. International Journal of Molecular Sciences, 22, (doi: 10.3390/ijms22126621)

2020

Silva, L., Gupta, P., Mactaggart, D., Simitev, R. (2020) Effects of shell thickness on cross-helicity generation in convection-driven spherical dynamos. Fluids, 5, (doi: 10.3390/fluids5040245)

Paun, L. M., Colebank, M. J., Olufsen, M. S., Hill, N. A., Husmeier, D. (2020) Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation. Journal of the Royal Society: Interface, 17, (doi: 10.1098/rsif.2020.0886)

Hashlamoun, K., Abusara, Z., Ramirez Torres, A., Grillo, A., Herzog, W., Federico, S. (2020) Fluorescence recovery after photobleaching: direct measurement of diffusion anisotropy. Biomechanics and Modeling in Mechanobiology, 19, pp. 2397-2412. (doi: 10.1007/s10237-020-01346-z)

Lockington, D., Wang, Z., Qi, N., Malyugin, B., Cai, L., Wang, C., Tang, H., Ramaesh, K., Luo, X. (2020) Modelling floppy iris syndrome and the impact of pupil size and ring devices on iris displacement. Eye, 34, pp. 2227-2234. (doi: 10.1038/s41433-020-0782-7)

Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A., Penta, R., Lebon, F. (2020) On the effective behavior of viscoelastic composites in three dimensions. International Journal of Engineering Science, 157, (doi: 10.1016/j.ijengsci.2020.103377)

Ogden, R.W. (2020) Peter Chadwick. 23 March 1931—12 August 2018. Biographical Memoirs of Fellows of the Royal Society, 69, pp. 109-131. (doi: 10.1098/rsbm.2020.0012)

Cousins, J. R. L., Wilson, S.K., Mottram, N. J., Wilkes, D., Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Physical Review E, 102, (doi: 10.1103/PhysRevE.102.062703)

Miller, L., Penta, R. (2020) Effective balance equations for poroelastic composites. Continuum Mechanics and Thermodynamics, 32, pp. 1533-1557. (doi: 10.1007/s00161-020-00864-6)

Chen, S., Ratna Sari, C., Gao, H., Lei, Y., Segers, P., De Beule, M. (2020) Mechanical and morphometric study of mitral valve chordae tendineae and related papillary muscle. Journal of the Mechanical Behavior of Biomedical Materials, 111, (doi: 10.1016/j.jmbbm.2020.104011)

Morrow, A. J. et al. (2020) Rationale and design of the Medical Research Council precision medicine with Zibotentan in microvascular angina (PRIZE) trial. American Heart Journal, 229, pp. 70-80. (doi: 10.1016/j.ahj.2020.07.007)

Mittell, E. A., Cobbold, C. A., Ijaz, U. Z., Kilbride, E. A., Moore, K. A., Mable, B. K. (2020) Feral populations of Brassica oleracea along Atlantic coasts in western Europe. Ecology and Evolution, 10, pp. 11810-11825. (doi: 10.1002/ece3.6821)

El Hamdaoui, M., Merodio, J., Ogden, R.W. (2020) Two-phase piecewise homogeneous plane deformations of a fibre-reinforced neo-Hookean material with application to fibre kinking and splitting. Journal of the Mechanics and Physics of Solids, 143, (doi: 10.1016/j.jmps.2020.104091)

Di Stefano, S., Miller, L., Grillo, A., Penta, R. (2020) Effective balance equations for electrostrictive composites. Zeitschrift für Angewandte Mathematik und Physik, 71, (doi: 10.1007/s00033-020-01365-x)

Dehghani, H., Noll, I., Penta, R., Menzel, A., Merodio, J. (2020) The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials. European Journal of Mechanics - A/Solids, 83, (doi: 10.1016/j.euromechsol.2020.103996)

Gaskell, J., Campioni, N., Morales, J. M., Husmeier, D., Torney, C. J. (2020) Approximate Bayesian inference for individual-based models with emergent dynamics. Avestia Publishing

Campioni, N., Husmeier, D., Morales, J. M., Gaskell, J., Torney, C. J. (2020) Modelling multiscale collective behavior with Gaussian processes. Avestia Publishing

Liu, R., Xu, S., Luo, X., Liu, Z. (2020) Theoretical and Numerical Analysis of mechanical behaviors of a metamaterial-based shape memory polymer stent. Polymers, 12, (doi: 10.3390/polym12081784)

Walton, J., McKay, G., Grinfeld, M., Mottram, N. J. (2020) Pressure-driven changes to spontaneous flow in active nematic liquid crystals. European Physical Journal E, 43, (doi: 10.1140/epje/i2020-11973-8)

Zhuan, X., Luo, X. (2020) Residual stress estimates from multi-cut opening angles of the left ventricle. Cardiovascular Engineering and Technology, 11, pp. 381-393. (doi: 10.1007/s13239-020-00467-x)

Conroy Broderick, H., Righi, M., Destrade, M., Ogden, R. W. (2020) Stability analysis of charge-controlled soft dielectric plates. International Journal of Engineering Science, 151, (doi: 10.1016/j.ijengsci.2020.103280)

Melnikov, A., Dorfmann, L., Ogden, R. W. (2020) Bifurcation of finitely deformed thick-walled electroelastic spherical shells subject to a radial electric field. International Journal of Non-Linear Mechanics, 121, (doi: 10.1016/j.ijnonlinmec.2020.103429)

Li, W., Lazarus, A., Gao, H., Martinez De Azcona Naharro, A., Fontana, M., Hawkins, P., Biswas, S., Janiczek, R., Cox, J., Berry, C., Husmeier, D., Luo, X. (2020) Analysis of cardiac amyloidosis progression using model-based markers. Frontiers in Physiology, 11, (doi: 10.3389/fphys.2020.00324)

Holzapfel, G., Ogden, R. (2020) A damage model for collagen fibres with an application to collagenous soft tissues. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0821)

Quinn, J., MacTaggart, D., Simitev, R. (2020) The effect of anisotropic viscosity on the nonlinear MHD kink instability. Communications in Nonlinear Science and Numerical Simulation, 83, (doi: 10.1016/j.cnsns.2019.105131)

Bhadwal, A.S., Mottram, N.J., Saxena, A., Sage, I.C., Brown, C.V. (2020) Electrically controlled topological micro cargo transportation. Soft Matter, 16, pp. 2961-2970. (doi: 10.1039/C9SM01956A)

Holzapfel, G. A., Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking. Journal of the Mechanics and Physics of Solids, 136, (doi: 10.1016/j.jmps.2019.103682)

Guan, D., Yao, J., Luo, X., Gao, H. (2020) Effect of myofibre architecture on ventricular pump function by using a neonatal porcine heart model: from DT-MRI to rule-based methods. Royal Society Open Science, 7, (doi: 10.1098/rsos.191655)

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R., Stewart, P.S. (2020) The role of tortuosity in filtration efficiency: a general network model for filtration. Journal of Membrane Science, 598, (doi: 10.1016/j.memsci.2019.117664)

Macnamara, C. K., Caiazzo, A., Ramis-Conde, I., Chaplain, M. A.J. (2020) Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue. Journal of Computational Science, 40, (doi: 10.1016/j.jocs.2019.101067)

Spelman, T.A., Stewart, P.S. (2020) Shock wave propagation along the central retinal blood vessels. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0269)

Cobbold, C. A., Stana, R. (2020) Should I stay or should I go: partially sedentary populations can outperform fully dispersing populations in response to climate-induced range shifts. Bulletin of Mathematical Biology, 82, (doi: 10.1007/s11538-020-00700-7)

Merodio, J., Ogden, R. (2020) Basic equations of continuum mechanics. Springer

(2020) Constitutive Modelling of Solid Continua. (doi: 10.1007/978-3-030-31547-4)

Wang, Y., Lan, H., Yin, T., Zhang, X., Huang, J., Fu, H., Huang, J., McGinty, S., Gao, H., Wang, G., Wang, Z. (2020) Covalent immobilization of biomolecules on stent materials through mussel adhesive protein coating to form biofunctional films. Materials Science and Engineering C: Materials for Biological Applications, 106, (doi: 10.1016/j.msec.2019.110187)

Merodio, J., Ogden, R. (2020) Finite deformation elasticity theory. Springer

Dorfmann, L., Ogden, R. (2020) Nonlinear constitutive modeling of electroelastic solids. Springer

Dorfmann, L., Ogden, R. W. (2020) Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0701)

Bravo-Castillero, J., Ramírez-Torres, A., Sabina, F. J., García-Reimbert, C., Guinovart-Díaz, R., Rodríguez-Ramos, R. (2020) Analytical formulas for complex permittivity of periodic composites. Estimation of gain and loss enhancement in active and passive composites. Waves in Random and Complex Media, 30, pp. 593-613. (doi: 10.1080/17455030.2018.1546063)

2019

Yañez-Olmos, D., Bravo-Castillero, J., Ramírez-Torres, A., Rodríguez-Ramos, R., Sabina, F. J. (2019) Effective coefficients of isotropic complex dielectric composites in a hexagonal array. Technische Mechanik, 39, pp. 220-228. (doi: 10.24352/UB.OVGU-2019-020)

Buckley, J., Daly, R., Cobbold, C. A., Burgess, K., Mable, B. K. (2019) Changing environments and genetic variation: natural variation in inbreeding does not compromise short-term physiological responses. Proceedings of the Royal Society of London Series B: Biological Sciences, 286, (doi: 10.1098/rspb.2019.2109)

Grillo, A., Di Stefano, S., Ramírez‐Torres, A., Loverre, M. (2019) A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity. GAMM Mitteilungen, 42, (doi: 10.1002/gamm.201900015)

Feng, L., Gao, H., Griffith, B. E., Niderer, S. A., Luo, X. (2019) Analysis of a coupled fluid-structure interaction model of the left atrium and mitral valve. International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3254)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A. (2019) Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach. Mathematics and Mechanics of Solids, 24, pp. 3554-3574. (doi: 10.1177/1081286519847687)

Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W., Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media. Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038)

Davies, V., Noè, U., Lazarus, A., Gao, H., Macdonald, B., Berry, C., Luo, X., Husmeier, D. (2019) Fast parameter inference in a biomechanical model of the left ventricle by using statistical emulation. Journal of the Royal Statistical Society: Series C (Applied Statistics), 68, pp. 1555-1576. (doi: 10.1111/rssc.12374)

Marchena-Menéndez, J., Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J. (2019) Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis. International Journal of Engineering Science, 144, (doi: 10.1016/j.ijengsci.2019.103135)

Liu, R., McGinty, S., Cui, F., Luo, X., Liu, Z. (2019) Modelling and simulation of the expansion of a shape memory polymer stent. Engineering Computations, 36, pp. 2726-2746. (doi: 10.1108/EC-10-2018-0462)

Evans, J. C., Torney, C. J., Votier, S. C., Dall, S. R. X. (2019) Social information use and collective foraging in a pursuit diving seabird. PLoS ONE, 14, (doi: 10.1371/journal.pone.0222600)

Cai, L., Wang, Y., Gao, H., Ma, X.S., Zhu, G.Y., Zhang, R.H., Shen, X.Q., Luo, X. (2019) Some effects of different constitutive laws on simulating mitral valve dynamics with FSI. Scientific Reports, 9, (doi: 10.1038/s41598-019-49161-6)

Cruz-González, O.L., Guinovart-Sanjuán, D., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Otero, J. A., Dumont, S., Lebon, F., Sabina, F.J. (2019) An approach for modeling non-ageing linear viscoelastic composites with general periodicity. Composite Structures, 223, (doi: 10.1016/j.compstruct.2019.110927)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J. (2019) Homogenized out-of-plane shear response three-scale fiber-reinforced composites. Computing and Visualization in Science, 20, pp. 85-93. (doi: 10.1007/s00791-018-0301-6)

Macdonald, B., Husmeier, D. (2019) Model selection via marginal likelihood estimation by combining thermodynamic integration and gradient matching. Statistics and Computing, 29, pp. 853-867. (doi: 10.1007/s11222-018-9840-4)

Guan, D., Ahmad, F., Theobald, P., Soe, S., Luo, X., Gao, H. (2019) On the AIC based model reduction for the general Holzapfel-Ogden myocardial constitutive law. Biomechanics and Modeling in Mechanobiology, 18, pp. 1213-1232. (doi: 10.1007/s10237-019-01140-6)

Paun, I., Husmeier, D., Torney, C. (2019) A Study on Discrete-Time Movement Models. (doi: 10.11159/icsta19.27)

Romaszko, L., Borowska, A., Lazarus, A., Gao, H., Luo, X., Husmeier, D. (2019) Direct Learning Left Ventricular Meshes from CMR Images. (doi: 10.11159/icsta19.25)

Paun, L. M., Colebank, M., Qureshi, M. U., Olufsen, M., Hill, N., Husmeier, D. (2019) MCMC with Delayed Acceptance using a Surrogate Model with an Application to Cardiovascular Fluid Dynamics. (doi: 10.11159/icsta19.28)

Romaszko, L., Lazarus, A., Gao, H., Borowska, A., Luo, X., Husmeier, D. (2019) Massive Dimensionality Reduction for the Left Ventricular Mesh. (doi: 10.11159/icsta19.24)

Yang, Y., Gao, H., Berry, C., Radjenovic, A., Husmeier, D. (2019) Quantification of Myocardial Perfusion Lesions Using Spatially Variant Finite Mixture Modelling of DCE-MRI. (doi: 10.11159/icsta19.26)

Hurford, A., Cobbold, C. A., Molnár, P. K. (2019) Skewed temperature dependence affects range and abundance in a warming world. Proceedings of the Royal Society of London Series B: Biological Sciences, 286, (doi: 10.1098/rspb.2019.1157)

Husmeier, D., Lazarus, A., Noè, U., Davies, V., Borowska, A., Macdonald, B., Gao, H., Berry, C., Luo, X. (2019) Statistical Emulation of Cardiac Mechanics: an Important Step Towards a Clinical Decision Support System. (doi: 10.11159/icsta19.29)

Cai, L., Guo, M., Li, Y., Ying, W., Gao, H., Luo, X. (2019) Nonstandard finite difference method for nonlinear Riesz space fractional reaction-diffusion equation. International Journal of Numerical Analysis and Modeling, 16, pp. 925-938.

Cousins, J.R.L., Wilson, S.K., Mottram, N.J., Wilkes, D., Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects. Physics of Fluids, 31, (doi: 10.1063/1.5110878)

Wang, Y., Cai, L., Luo, X., Ying, W., Gao, H. (2019) Simulation of action potential propagation based on the ghost structure method. Scientific Reports, 9, (doi: 10.1038/s41598-019-47321-2)

Noè, U., Lazarus, A., Gao, H., Davies, V., Macdonald, B., Mangion, K., Berry, C., Luo, X., Husmeier, D. (2019) Gaussian process emulation to accelerate parameter estimation in a mechanical model of the left ventricle: a critical step towards clinical end-user relevance. Journal of the Royal Society: Interface, 16, (doi: 10.1098/rsif.2019.0114)

Duanmu, Z., Chen, W., Gao, H., Yang, X., Luo, X., Wang, T., Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree. Frontiers in Physiology, 10, (doi: 10.3389/fphys.2019.00853)

Stewart, P. S., Foss, A. J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation. ANZIAM Journal, 61, pp. 320-348. (doi: 10.1017/S1446181119000117)

Guan, D., Yao, J., Luo, X., Gao, H. (2019) Effects of Myofibre Architecture on Biventricular Biomechanics: a Simulation Study.

Lesniewska, M., Henrich, O., Mottram, N. (2019) Microfluidic Flow of Colloid-Liquid Crystal Composite Materials.

Torney, C. J., Lloyd-Jones, D. J., Chevallier, M., Moyer, D. C., Maliti, H. T., Mwita, M., Kohi, E. M., Hopcraft, J.G.C. (2019) A comparison of deep learning and citizen science techniques for counting wildlife in aerial survey images. Methods in Ecology and Evolution, 10, pp. 779-787. (doi: 10.1111/2041-210X.13165)

Macnamara, C. K., Mitchell, E. I., Chaplain, M. A.J. (2019) Spatial-stochastic modelling of synthetic gene regulatory networks. Journal of Theoretical Biology, 468, pp. 27-44. (doi: 10.1016/j.jtbi.2019.02.003)

Holzapfel, G., Ogden, R., Sherifova, S. (2019) On fibre dispersion modelling of soft biological tissues: a review. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 475, (doi: 10.1098/rspa.2018.0736)

Melnik, A. V., Luo, X., Ogden, R. W. (2019) A para-universal relation for orthotropic materials. Mechanics Research Communications, 97, pp. 46-51. (doi: 10.1016/j.mechrescom.2019.04.006)

Li, B., Roper, S. M., Wang, L., Luo, X., Hill, N.A. (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78, pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8)

Jayaraman, S., Harris, C., Paxton, E., Donachie, A.-M., Vaikkinen, H., McCulloch, R., Hall, J. P.J., Kenny, J., Lenzi, L., Herts-Fowler, C., Cobbold, C., Reeve, R., Micheol, T., Morrison, L. J. (2019) Application of long read sequencing to determine expressed antigen diversity in Trypanosoma brucei infections. PLoS Neglected Tropical Diseases, 13, (doi: 10.1371/journal.pntd.0007262)

Dorfmann, L., Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL) Mechanics Research Communications, 96, pp. 67-74. (doi: 10.1016/j.mechrescom.2019.03.002)

Dehghani, H., Penta, R., Merodio, J. (2019) The role of porosity and solid matrix compressibility on the mechanical behavior of poroelastic tissues. Materials Research Express, 6, (doi: 10.1088/2053-1591/aaf5b9)

Ewing, D. A., Cobbold, C. A., Purse, B. V., Schafer, S. M., White, S. M. (2019) Uncovering mechanisms behind mosquito seasonality by integrating mathematical models and daily empirical population data: Culex pipiens in the UK. Parasites and Vectors, 12, (doi: 10.1186/s13071-019-3321-2)

Umar Qureshi, M., Colebank, M. J., Paun, L. M., Ellwein, L., Chesler, N., Haider, M. A., Hill, N. A., Husmeier, D., Olufsen, M. S. (2019) Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism. Biomechanics and Modeling in Mechanobiology, 18, pp. 219-243. (doi: 10.1007/s10237-018-1078-8)

Zhuan, X., Luo, X., Gao, H., Ogden, R. W. (2019) Coupled agent-based and hyperelastic modelling of the left ventricle post-myocardial infarction. International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3155)

Alqahtani, Z.M., El-Shahed, M., Mottram, N.J. (2019) Derivative-order-dependent stability and transient behaviour in a predator–prey system of fractional differential equations. Letters in Biomathematics, 6, pp. 32-49. (doi: 10.1080/23737867.2019.1656115)

Rodríguez-Ramos, R., Ramírez-Torres, A., Bravo-Castillero, J., Guinovart-Díaz, R., Guinovart-Sanjuán, D., Cruz-González, O. L., Sabina, F. J., Merodio, J., Penta, R. (2019) Multiscale homogenization for linear mechanics. Springer

Penta, R., Miller, L., Grillo, A., Ramírez-Torres, A., Mascheroni, P., Rodríguez-Ramos, R. (2019) Porosity and diffusion in biological tissues. Recent advances and further perspectives. Springer

Silva, L. A.C., Mather, J. F., Simitev, R. D. (2019) The onset of thermo-compositional convection in rotating spherical shells. Geophysical and Astrophysical Fluid Dynamics, 113, pp. 377-404. (doi: 10.1080/03091929.2019.1640875)

2018

Cousins, J. R.L., Wilson, S. K., Mottram, N. J., Wilkies, D., Weegels, L., Lin, K. (2018) A Model for the Formation of Mura During the One-Drop-Filling Process.

Melnik, A. V., Luo, X., Ogden, R. W. (2018) A generalised structure tensor model for the mixed invariant I8. International Journal of Non-Linear Mechanics, 107, pp. 137-148. (doi: 10.1016/j.ijnonlinmec.2018.08.018)

Feng, L., Qi, N., Gao, H., Sun, W., Vazquez, M., Griffith, B.E., Luo, X.Y. (2018) On the chordae structure and dynamic behaviour of the mitral valve. IMA Journal of Applied Mathematics, 83, pp. 1066-1091. (doi: 10.1093/imamat/hxy035)

Singh, B., Ogden, R. W. (2018) Reflection of plane waves from the boundary of an incompressible finitely deformed electroactive half-space. Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-1044-4)

Ramírez-Torres, A., Di Stefano, S., Grillo, A., Rodríguez-Ramos, R., Merodio, J., Penta, R. (2018) An asymptotic homogenization approach to the microstructural evolution of heterogeneous media. International Journal of Non-Linear Mechanics, 106, pp. 245-257. (doi: 10.1016/j.ijnonlinmec.2018.06.012)

Di Stefano, S., Ramírez-Torres, A., Penta, R., Grillo, A. (2018) Self-influenced growth through evolving material inhomogeneities. International Journal of Non-Linear Mechanics, 106, pp. 174-187. (doi: 10.1016/j.ijnonlinmec.2018.08.003)

Dorfmann, L., Ogden, R. W. (2018) The effect of deformation dependent permittivity on the elastic response of a finitely deformed dielectric tube. Mechanics Research Communications, 93, pp. 47-57. (doi: 10.1016/j.mechrescom.2017.09.002)

Holzapfel, G. A., Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components. American Journal of Physiology: Heart and Circulatory Physiology, 315, pp. H540-H549. (doi: 10.1152/ajpheart.00117.2018)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery. Mathematics and Mechanics of Solids, 23, pp. 1206-1224. (doi: 10.1177/1081286517712077)

Păun, L. M., Qureshi, M. U., Colebank, M., Hill, N. A., Olufsen, M. S., Haider, M. A., Husmeier, D. (2018) MCMC methods for inference in a mathematical model of pulmonary circulation. Statistica Neerlandica, 72, pp. 306-338. (doi: 10.1111/stan.12132)

Zhang, S., Luo, X., Cai, Z. (2018) Three-dimensional flows in a hyperelastic vessel under external pressure. Biomechanics and Modeling in Mechanobiology, 17, pp. 1187-1207. (doi: 10.1007/s10237-018-1022-y)

Silva, L. A.C., Simitev, R. D. (2018) Pseudo-spectral Code for Numerical Simulation of Nonlinear Thermo-compositional Convection and Dynamos in Rotating Spherical Shells. (doi: 10.5281/zenodo.1311203)

Silva, L. A.C., Simitev, R. D. (2018) Spectral Code for Linear Analysis of the Onset of Thermo-compositional Convection in Rotating Spherical Fluid Shells. (doi: 10.5281/zenodo.1307245)

Melnikov, A., Ogden, R. W. (2018) Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field. Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-0954-5)

Qi, N., Lockington, D., Wang, H., Hill, N. A., Ramaesh, K., Luo, X. (2018) Modelling floppy iris syndrome and the impact of phenylephrine on iris buckling. International Journal of Applied Mechanics, 10, (doi: 10.1142/S1758825118500485)

Niu, M., Macdonald, B., Rogers, S., Filippone, M., Husmeier, D. (2018) Statistical inference in mechanistic models: time warping for improved gradient matching. Computational Statistics, 33, pp. 1091-1123. (doi: 10.1007/s00180-017-0753-z)

Westley, P. A.H., Berdahl, A. M., Torney, C. J., Biro, D. (2018) Collective movement in ecology: from emerging technologies to conservation and management. Philosophical Transactions of the Royal Society B: Biological Sciences, 373, (doi: 10.1098/rstb.2017.0004)

Torney, C. J., Hopcraft, J. G. C., Morrison, T. A., Couzin, I. D., Levin, S. A. (2018) From single steps to mass migration: the problem of scale in the movement ecology of the Serengeti wildebeest. Philosophical Transactions of the Royal Society B: Biological Sciences, 373, (doi: 10.1098/rstb.2017.0012)

Torney, C. J., Lamont, M., Debell, L., Angohiatok, R. J., Leclerc, L.-M., Berdahl, A. M. (2018) Inferring the rules of social interaction in migrating caribou. Philosophical Transactions of the Royal Society B: Biological Sciences, 373, (doi: 10.1098/rstb.2017.0385)

Szymańska, Z., Cytowski, M., Mitchell, E., Macnamara, C. K., Chaplain, M. A.J. (2018) Computational modelling of cancer development and growth: Modelling at multiple scales and multiscale modelling. Bulletin of Mathematical Biology, 80, pp. 1366-1403. (doi: 10.1007/s11538-017-0292-3)

Simitev, R. D., Busse, F. H. (2018) Flows and dynamos in a model of stellar radiative zones. Journal of Plasma Physics, 84, (doi: 10.1017/S0022377818000612)

Mangion, K., Gao, H., Husmeier, D., Luo, X., Berry, C. (2018) Advances in computational modelling for personalised medicine after myocardial infarction. Heart, 104, pp. 550-557. (doi: 10.1136/heartjnl-2017-311449)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2018) Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube. Journal of Engineering Mathematics, 109, pp. 31-45. (doi: 10.1007/s10665-017-9904-z)

Wang, L., Hill, N. A., Roper, S. M., Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109, pp. 227-238. (doi: 10.1007/s10665-017-9948-0)

Faust, C. L., McCallum, H. I., Bloomfield, L. S.P., Gottdenker, N. L., Gillespie, T. R., Torney, C. J., Dobson, A. P., Plowright, R. K. (2018) Pathogen spillover during land conversion. Ecology Letters, 21, pp. 471-483. (doi: 10.1111/ele.12904)

Dorfmann, L., Ogden, R. W. (2018) Instabilities of soft dielectrics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377, (doi: 10.1098/rsta.2018.0077)

Richardson, S.I. H., Baggaley, A.W., Hill, N.A. (2018) Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows. Physical Review Fluids, 3, (doi: 10.1103/PhysRevFluids.3.023102)

Valdés-Ravelo, F., Ramírez-Torres, A., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Conci, A., Sabina, F. J., García-Reimbert, C. (2018) Mathematical modeling of the interplay between stress and anisotropic growth of avascular tumors. Journal of Mechanics in Medicine and Biology, 18, (doi: 10.1142/s0219519418500069)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers. Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)

Walton, J., Mottram, N.J., McKay, G. (2018) Nematic liquid crystal director structures in rectangular regions. Physical Review E, 97, (doi: 10.1103/PhysRevE.97.022702)

Duanmu, Z., Yin, M., Fan, X., Yang, X., Luo, X. (2018) A patient-specific lumped-parameter model of coronary circulation. Scientific Reports, 8, (doi: 10.1038/s41598-018-19164-w)

(2018) Multiscale Soft Tissue Mechanics and Mechanobiology: State-of-the-art Modeling.

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues. Journal of the Royal Society: Interface, 15, (doi: 10.1098/rsif.2017.0766)

Penta, R., Ramírez-Torres, A., Merodio, J., Rodríguez-Ramos, R. (2018) Effective balance equations for elastic composites subject to inhomogeneous potentials. Continuum Mechanics and Thermodynamics, 30, pp. 145-163. (doi: 10.1007/s00161-017-0590-x)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J., Sabina, F. J., Bravo-Castillero, J., Guinovart-Díaz, R., Preziosi, L., Grillo, A. (2018) Three scales asymptotic homogenization and its application to layered hierarchical hard tissues. International Journal of Solids and Structures, 130-31, pp. 190-198. (doi: 10.1016/j.ijsolstr.2017.09.035)

Penta, R., Gerisch, A. (2018) An introduction to asymptotic homogenization. Springer

Yurk, B. P., Cobbold, C. A. (2018) Homogenization techniques for population dynamics in strongly heterogeneous landscapes. Journal of Biological Dynamics, 12, pp. 171-193. (doi: 10.1080/17513758.2017.1410238)

Mortensen, P., Bin Noor Aziz, M. H., Gao, H., Simitev, R. D. (2018) Modelling and Simulations of Electrical Propagation in Transmural Slabs of Scarred Left Ventricular Tissue.

(2018) Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications. 122, (doi: 10.1007/978-3-319-73371-5)

2017

McCulloch, R., Cobbold, C. A., Figueiredo, L., Jackson, A., Morrison, L. J., Mugnier, M. R., Papavasiliou, N., Schnaufer, A., Matthews, K. (2017) Emerging challenges in understanding trypanosome antigenic variation. Emerging Topics in Life Sciences, 1, pp. 585-592. (doi: 10.1042/ETLS20170104)

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. (2017) A mathematical study of a bistable nematic liquid crystal device. Mathematical Models and Methods in Applied Sciences, 17, pp. 2009-2034. (doi: 10.1142/S0218202507002546)

Sevostianov, I., Trofimov, A., Merodio, J., Penta, R., Rodriguez-Ramos, R. (2017) Connection between electrical conductivity and diffusion coefficient of a conductive porous material filled with electrolyte. International Journal of Engineering Science, 121, pp. 108-117. (doi: 10.1016/j.ijengsci.2017.08.013)

Stewart, P. S., Hilgenfeldt, S. (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

Griffith, B. E., Luo, X. (2017) Hybrid finite difference/finite element immersed boundary method. International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2888)

Holzapfel, G. A., Ogden, R. W. (2017) On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Journal of Elasticity, 129, pp. 49-68. (doi: 10.1007/s10659-016-9605-2)

Holzapfel, G. A., Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)

Penta, R., Merodio, J. (2017) Homogenized modeling for vascularized poroelastic materials. Meccanica, 52, pp. 3321-3343. (doi: 10.1007/s11012-017-0625-1)

Gao, H., Mangion, K., Carrick, D., Husmeier, D., Luo, X., Berry, C. (2017) Estimating prognosis in patients with acute myocardial infarction using personalized computational heart models. Scientific Reports, 7, (doi: 10.1038/s41598-017-13635-2)

Gao, H., Qi, N., Feng, L., Ma, X., Danton, M., Berry, C., Luo, X. (2017) Modelling mitral valvular dynamics–current trend and future directions. International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2858)

MacTaggart, D., Stewart, P. (2017) Optimal energy growth in current sheets. Solar Physics, 292, (doi: 10.1007/s11207-017-1177-1)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Sabina, F. J., García-Reimbert, C., Sevostianov, I., Conci, A. (2017) The influence of anisotropic growth and geometry on the stress of solid tumors. International Journal of Engineering Science, 119, pp. 40-49. (doi: 10.1016/j.ijengsci.2017.06.011)

Mascheroni, P., Penta, R. (2017) The role of the microvascular network structure on diffusion and consumption of anticancer drugs. International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2857)

Paun, L., Haider, M., Hill, N., Olufsen, M., Qureshi, M., Papamarkou, T., Husmeier, D. (2017) Parameter Inference in the Pulmonary Blood Circulation.

Gao, H., Feng, L., Qi, N., Berry, C., Griffith, B. E., Luo, X. (2017) A coupled mitral valve - left ventricle model with fluid-structure interaction. Medical Engineering and Physics, 47, pp. 128-136. (doi: 10.1016/j.medengphy.2017.06.042)

Stewart, P. S. (2017) Instabilities in flexible channel flow with large external pressure. Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

Ramírez-Torres, A., Rodríguez-Ramos, R., Sabina, F. J., García-Reimbert, C., Penta, R., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J., Conci, A., Preziosi, L. (2017) The role of malignant tissue on the thermal distribution of cancerous breast. Journal of Theoretical Biology, 426, pp. 152-161. (doi: 10.1016/j.jtbi.2017.05.031)

Barraquand, F., Louca, S., Abbott, K. C., Cobbold, C. A., Cordoleani, F., DeAngelis, D. L., Elderd, B. D., Fox, J. W., Greenwood, P., Hilker, F. M., Murray, D. L., Stieha, C. R., Taylor, R. A., Vitense, K., Wolkowicz, G. S.K., Tyson, R. C. (2017) Moving forward in circles: challenges and opportunities in modelling population cycles. Ecology Letters, 20, pp. 1074-1092. (doi: 10.1111/ele.12789)

Dorfmann, L., Ogden, R. W. (2017) Nonlinear electroelasticity: material properties, continuum theory and applications. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473, (doi: 10.1098/rspa.2017.0311)

Paun, L. M., Qureshi, M. U., Colebank, M., Haider, M. A., Olufsen, M. S., Hill, N. A., Husmeier, D. (2017) Parameter Inference in the Pulmonary Circulation of Mice.

Gao, H., Aderhold, A., Mangion, K., Luo, X., Husmeier, D., Berry, C. (2017) Changes and classification in myocardial contractile function in the left ventricle following acute myocardial infarction. Journal of the Royal Society: Interface, 14, (doi: 10.1098/rsif.2017.0203)

Bush, A. et al. (2017) Connecting Earth observation to high-throughput biodiversity data. Nature Ecology and Evolution, 1, (doi: 10.1038/s41559-017-0176)

Ioannou, C. C., Ramnarine, I. W., Torney, C. (2017) High-predation habitats affect the social dynamics of collective exploration in a shoaling fish. Science Advances, 3, (doi: 10.1126/sciadv.1602682)

Van Hirtum, A., Wu, B., Gao, H., Luo, X.Y. (2017) Constricted channel flow with different cross-section shapes. European Journal of Mechanics - B/Fluids, 63, pp. 1-8. (doi: 10.1016/j.euromechflu.2016.12.009)

Papáček, Š., Matonoha, C., Macdonald, B. (2017) Closed-form formulae vs. PDE based numerical solution for the FRAP data processing: Theoretical and practical comparison. Computers and Mathematics with Applications, 73, pp. 1673-1683. (doi: 10.1016/j.camwa.2017.02.010)

Cai, L., Wang, Y., Gao, H., Li, Y., Luo, X. (2017) A mathematical model for active contraction in healthy and failing myocytes and left ventricles. PLoS ONE, 12, (doi: 10.1371/journal.pone.0174834)

Ramírez-Torres, A., Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J., Lebon, F. (2017) A semi-analytical heterogeneous model for thermal analysis of cancerous breasts. Springer

Li, W., Bird, N. C., Luo, X. (2017) A pointwise method for identifying biomechanical heterogeneity of the human gallbladder. Frontiers in Physiology, 8, (doi: 10.3389/fphys.2017.00176)

Valletta, J. J., Torney, C., Kings, M., Thornton, A., Madden, J. (2017) Applications of machine learning in animal behaviour studies. Animal Behaviour, 124, pp. 203-220. (doi: 10.1016/j.anbehav.2016.12.005)

Wang, L., Roper, S. M., Hill, N. A., Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16, pp. 139-149. (doi: 10.1007/s10237-016-0806-1)

Cai, L., Xu, W., Luo, X. (2017) A double-distribution-function lattice Boltzmann method for bed-load sediment transport. International Journal of Applied Mechanics, 9, (doi: 10.1142/S1758825117500132)

Penta, R., Gerisch, A. (2017) The asymptotic homogenization elasticity tensor properties for composites with material discontinuities. Continuum Mechanics and Thermodynamics, 29, pp. 187-206. (doi: 10.1007/s00161-016-0526-x)

Simitev, R. D., Busse, F. H. (2017) Baroclinically-driven flows and dynamo action in rotating spherical fluid shells. Geophysical and Astrophysical Fluid Dynamics, 111, pp. 369-379. (doi: 10.1080/03091929.2017.1361945)

(2017) Biomechanics: Trends in Modeling and Simulation. Springer

Liu, Z., Macdonald, B., Husmeier, D., Giurghita, D. (2017) Estimating Parameters of Partial Differential Equations with Gradient Matching.

McGinty, S., Hyndman, L., Mottram, N., McKee, S., Webb, S. (2017) In-silico Characterisation of the Kirkstall QV900 In-Vitro System for Advanced Cell Culture.

Noè, U., Chen, W. W., Filippone, M., Hill, N., Husmeier, D. (2017) Inference in a Partial Differential Equations Model of Pulmonary Arterial and Venous Blood Circulation using Statistical Emulation. (doi: 10.1007/978-3-319-67834-4_15)

Ogden, R. W. (2017) Nonlinear continuum mechanics and modelling the elasticity of soft biological tissues with a focus on artery walls. Springer International Publishing

Macnamara, C. K., Chaplain, M. A.J. (2017) Spatio-temporal models of synthetic genetic oscillators. Mathematical Biosciences and Engineering, 14, pp. 249-262. (doi: 10.3934/mbe.2017016)

Interian, R., Rodríguez-Ramos, R., Valdés-Ravelo, F., Ramírez-Torres, A., Ribeiro, C. C., Conci, A. (2017) Tumor growth modelling by cellular automata. Mathematics and Mechanics of Complex Systems, 5, pp. 239-259. (doi: 10.2140/memocs.2017.5.239)

2016

Mangion, K., Gao, H., Mccomb, C., Carrick, D., Clerfond, G., Zhong, X., Luo, X., Haig, C., Berry, C. (2016) A novel method for estimating myocardial strain: assessment of deformation tracking against reference magnetic resonance methods in healthy volunteers. Scientific Reports, 6, (doi: 10.1038/srep38774)

Goodman, M. E., Luo, X., Hill, N. (2016) A mathematical model on the feedback between wall shear stress and intimal hyperplasia. International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116400111)

Melnikov, A., Ogden, R. W. (2016) Finite deformations of an electroelastic circular cylindrical tube. Zeitschrift für Angewandte Mathematik und Physik, 67, (doi: 10.1007/s00033-016-0733-0)

Macnamara, C. K., Chaplain, M. A.J. (2016) Diffusion driven oscillations in gene regulatory networks. Journal of Theoretical Biology, 407, pp. 51-70. (doi: 10.1016/j.jtbi.2016.07.021)

Li, W., Luo, X. Y. (2016) An invariant-based damage model for human and animal skins. Annals of Biomedical Engineering, 44, pp. 3109-3122. (doi: 10.1007/s10439-016-1603-9)

Corson, L.T., Mottram, N.J., Duffy, B.R., Wilson, S.K., Tsakonas, C., Brown, C.V. (2016) Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field. Physical Review E, 94, (doi: 10.1103/PhysRevE.94.043112)

Mottram, N.J., Newton, C.J.P. (2016) Liquid crystal theory and modeling. Springer

Hao, Y., Cai, Z., Roper, S., Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116500733)

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Brown, C.V., Wilson, S.K. (2016) Electro-Manipulation of Droplets for Microfluidic Applications. (doi: 10.1007/978-3-319-23413-7)

Stewart, P. S., Waters, S. L., El Sayed, T., Vella, D., Goriely, A. (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Chen, W.W., Gao, H., Luo, X.Y., Hill, N.A. (2016) Study of cardiovascular function using a coupled left ventricle and systemic circulation model. Journal of Biomechanics, 49, pp. 2445-2454. (doi: 10.1016/j.jbiomech.2016.03.009)

Griffiths, I. M., Kumar, A., Stewart, P.S. (2016) Designing asymmetric multilayered membrane filters with improved performance. Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

Ahamed, T., Dorfmann, L., Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA. Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012)

Berdahl, A., van Leeuwen, A., Levin, S. A., Torney, C. J. (2016) Collective behavior as a driver of critical transitions in migratory populations. Movement Ecology, 4, (doi: 10.1186/s40462-016-0083-8)

Ewing, D. A., Cobbold, C. A., Nunn, M. A., Purse, B. V., White, S. M. (2016) Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes. Journal of Theoretical Biology, 400, pp. 65-79. (doi: 10.1016/j.jtbi.2016.04.008)

Macdonald, B., Niu, M., Rogers, S., Filippone, M., Husmeier, D. (2016) Approximate parameter inference in systems biology using gradient matching: a comparative evaluation. BioMedical Engineering OnLine, 15, (doi: 10.1186/s12938-016-0186-x)

Nam, N.T., Merodio, J., Ogden, R.W., Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space. International Journal of Solids and Structures, 88-89, pp. 88-100. (doi: 10.1016/j.ijsolstr.2016.03.019)

Penta, R., Raum, K., Grimal, Q., Schrof, S., Gerisch, A. (2016) Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues. Bioinspiration and Biomimetics, 11, (doi: 10.1088/1748-3190/11/3/035004)

Li, K., Ogden, R. W., Holzapfel, G. A. (2016) Computational method for excluding fibers under compression in modeling soft fibrous solids. European Journal of Mechanics - A/Solids, 57, pp. 178-193. (doi: 10.1016/j.euromechsol.2015.11.003)

Matsui, H. et al. (2016) Performance benchmarks for a next generation numerical dynamo model. Geochemistry, Geophysics, Geosystems, 17, pp. 1586-1607. (doi: 10.1002/2015GC006159)

McKee, S., Dougall, E. A., Mottram, N. J. (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device. Journal of Mathematics in Industry, 6, (doi: 10.1186/s13362-016-0019-3)

Merodio, J., Ogden, R. W. (2016) Extension, inflation and torsion of a residually-stressed circular cylindrical tube. Continuum Mechanics and Thermodynamics, 28, pp. 157-174. (doi: 10.1007/s00161-015-0411-z)

Mottram, N.J., McKay, G., Brown, C.V., Russell, C.T., Sage, I.C., Tsakonas, C. (2016) Flow-induced delayed Freedericksz transition. Physical Review E, 93, (doi: 10.1103/PhysRevE.93.030701)

Ritos, K., Borg, M. K., Mottram, N. J., Reese, J. M. (2016) Electric fields can control the transport of water in carbon nanotubes. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374, (doi: 10.1098/rsta.2015.0025)

Mangion, K., Gao, H., Radjenovic, A., Luo, X., Haig, C., Berry, C. (2016) Pixel-tracking derived strain using the GlasgowHeart Method. Journal of Cardiovascular Magnetic Resonance, 18, (doi: 10.1186/1532-429X-18-S1-P9)

Torney, C. J., Dobson, A. P., Borner, F., Lloyd-Jones, D. J., Moyer, D., Maliti, H. T., Mwita, M., Fredrick, H., Borner, M., Hopcraft, J. G. C. (2016) Assessing rotation-invariant feature classification for automated wildebeest population counts. PLoS ONE, 11, (doi: 10.1371/journal.pone.0156342)

Eftimie, R., Macnamara, C.K., Dushoff, J., Bramson, J.L., Earn, D.J.D. (2016) Bifurcations and chaotic dynamics in a tumour-immune-virus system. Mathematical Modelling of Natural Phenomena, 11, pp. 65-85. (doi: 10.1051/mmnp/201611505)

Reeve, R., Leinster, T., Cobbold, C. A., Thompson, J., Brummitt, N., Mitchell, S. N., Matthews, L. (2016) How to partition diversity. arXiv,

2015

Hein, A. M., Rosenthal, S. B., Hagstrom, G. I., Berdahl, A., Torney, C. J., Couzin, I. D. (2015) The evolution of distributed sensing and collective computation in animal populations. eLife, 4, (doi: 10.7554/eLife.10955)

Land, S. et al. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471, (doi: 10.1098/rspa.2015.0641)

Qureshi, M. U., Hill, N. A. (2015) A computational study of pressure wave reflections in the pulmonary arteries. Journal of Mathematical Biology, 71, pp. 1525-1549. (doi: 10.1007/s00285-015-0867-2)

Cobbold, C. A., Lutscher, F., Sherratt, J. A. (2015) Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes. Ecological Complexity, 24, pp. 69-81. (doi: 10.1016/j.ecocom.2015.10.001)

Qi, N., Gao, H., Ogden, R. W., Hill, N. A., Holzapfel, G. A., Han, H., Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011)

Stewart, P. S., Davis, S. H., Hilgenfeldt, S. (2015) Microstructural effects in aqueous foam fracture. Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Gao, H., Li, W.G., Cai, L., Berry, C., Luo, X.Y. (2015) Parameter estimation in a Holzapfel–Ogden law for healthy myocardium. Journal of Engineering Mathematics, 95, pp. 231-248. (doi: 10.1007/s10665-014-9740-3)

Macdonald, B., Husmeier, D. (2015) Gradient matching methods for computational inference in mechanistic models for systems biology: a review and comparative analysis. Frontiers in Bioengineering and Biotechnology, 3, (doi: 10.3389/fbioe.2015.00180)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R., Alfonso, J.C.L. (2015) Mathematical modeling of anisotropic avascular tumor growth. Mechanics Research Communications, 69, pp. 8-14. (doi: 10.1016/j.mechrescom.2015.06.002)

Bezekci, B., Idris, I., Simitev, R.D., Biktashev, V.N. (2015) Semianalytical approach to criteria for ignition of excitation waves. Physical Review E, 92, (doi: 10.1103/PhysRevE.92.042917)

Stewart, P. S., Feng, J., Kimpton, L. S., Griffiths, I. M., Stone, H. A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

Cobbold, C. A., Teng, J., Muldowney, J. S. (2015) The influence of host competition and predation on tick densities and management implications. Theoretical Ecology, 8, pp. 349-368. (doi: 10.1007/s12080-015-0255-y)

Macnamara, C., Eftimie, R. (2015) Memory versus effector immune responses in oncolytic virotherapies. Journal of Theoretical Biology, 377, pp. 1-9. (doi: 10.1016/j.jtbi.2015.04.004)

Macdonald, B., Higham, C., Husmeier, D. (2015) Controversy in mechanistic modelling with Gaussian processes. Proceedings of Machine Learning Research, 37, pp. 1539-1547.

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2015) Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube. International Journal of Solids and Structures, 63, pp. 99-108. (doi: 10.1016/j.ijsolstr.2015.02.043)

Berdahl, A., Torney, C. J., Schertzer, E., Levin, S. A. (2015) On the evolutionary interplay between dispersal and local adaptation in heterogeneous environments. Evolution, 69, pp. 1390-1405. (doi: 10.1111/evo.12664)

Ghorai, S., Singh, R., Hill, N.A. (2015) Wavelength selection in gyrotactic bioconvection. Bulletin of Mathematical Biology, 77, pp. 1166-1184. (doi: 10.1007/s11538-015-0081-9)

Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W., Reinisch, A. J., Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls. Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0188)

Hughes, J. S., Cobbold, C. A., Haynes, K., Dwyer, G. (2015) The effects of forest spatial structure on insect outbreak dynamics: insights from host-parasitoid models. American Naturalist, 183, pp. E130-E152. (doi: 10.1086/680860)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Bravo-Castillero, J., Guinovart-Díaz, R., Alfonso, J.C.L. (2015) Action of body forces in tumor growth. International Journal of Engineering Science, 89, pp. 18-34. (doi: 10.1016/j.ijengsci.2014.11.009)

Macdonald, B., Husmeier, D. (2015) Computational inference in systems biology. Springer

Penta, R., Gerisch, A. (2015) Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study. Computing and Visualization in Science, 17, pp. 185-201. (doi: 10.1007/s00791-015-0257-8)

MacTaggart, D., Guglielmino, S.L., Haynes, A.L., Simitev, R., Zuccarello, F. (2015) The magnetic structure of surges in small-scale emerging flux regions. Astronomy and Astrophysics, 576, (doi: 10.1051/0004-6361/201424646)

Torney, C. J., Lorenzi, T., Couzin, I. D., Levin, S. A. (2015) Social information use and the evolution of unresponsiveness in collective systems. Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2014.0893)

Cai, L., Gao, H., Luo, X., Nie, Y. (2015) Multi-scale modelling of the human left ventricle. Scientia Sinica Physica, Mechanica and Astronomica, 45, (doi: 10.1360/SSPMA2013-00100)

Hermans, T., Bishop, K., Stewart, P., Davis, S., Grzybowski, B. (2015) Vortex flows impart chirality-specific lift forces. Nature Communications, 6, (doi: 10.1038/ncomms6640)

Penta, R., Ambrosi, D. (2015) The role of the microvascular tortuosity in tumor transport phenomena. Journal of Theoretical Biology, 364, pp. 80-97. (doi: 10.1016/j.jtbi.2014.08.007)

Ogden, R., Saccomandi, G., Wineman, A. (2015) Foreword to the special issue Mechanics of Rubber: In memory of Alan Gent. International Journal of Non-Linear Mechanics, 68, pp. 1-8. (doi: 10.1016/j.ijnonlinmec.2014.08.004)

Penta, R., Ambrosi, D., Quarteroni, A. (2015) Multiscale homogenization for fluid and drug transport in vascularized malignant tissues. Mathematical Models and Methods in Applied Sciences, 25, pp. 79-108. (doi: 10.1142/S0218202515500037)

Holzapfel, G. A., Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids. European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)

Hermans, T. M., Stewart, P. S., Grzybowski, B. A. (2015) A pH-oscillator stretched in space but frozen in time. Journal of Physical Chemistry Letters, 6, pp. 760-766. (doi: 10.1021/jz502711c)

Simitev, R. D., Kosovichev, A. G., Busse, F. H. (2015) Dynamo effects near transition from solar to anti-solar differential rotation. Astrophysical Journal, 810, (doi: 10.1088/0004-637X/810/1/80)

Gao, H., Qi, N., Ma, X., Griffith, B. E., Berry, C., Luo, X. (2015) Fluid-structure interaction model of human mitral valve within left ventricle. Springer International Publishing

Gao, H., Berry, C., Luo, X. (2015) Image-derived human left ventricular modelling with fluid-structure interaction. Springer International Publishing

Argungu, M., Bayram, S., Brook, B., Chakrabarti, B., Clayton, R. H., Daly, D. M., Dyson, R. J., Holloway, C., Manhas, V., Naire, S., Shearer, T., Simitev, R. D. (2015) Modelling Afferent Nerve Responses to Bladder Filling.

Luo, X.Y. (2015) Modelling flows in collapsible tubes. Eolss Publishers

Wang, L., Roper, S. M., Luo, X.Y., Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95, pp. 249-265. (doi: 10.1007/s10665-014-9757-7)

(2015) Nonlinear Mechanics of Soft Fibrous Materials. Springer-Verlag Wien

Ogden, R. W. (2015) Nonlinear elasticity with application to soft fibre-reinforced materials. Springer-Verlag Wien

Agraval, U., Qi, N., Stewart, P., Luo, X., Williams, G., Rotchford, A., Ramaesh, K. (2015) Optimum size of iridotomy in uveitis. Clinical and Experimental Ophthalmology, 43, pp. 692-696. (doi: 10.1111/ceo.12528)

Stewart, P. S., Jensen, O. E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model. Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0523)

Busse, F.H., Simitev, R.D. (2015) Planetary dynamos. Elsevier B.V.

Heydtmann, M., Macdonald, B., Lewsey, J., Masson, N., Cunningham, L., Irnazarow, A., Nardone, A., Cosgrave, J., Chick, J. (2015) Tailored dose baclofen in patients with alcoholic liver disease: a case series with 2-year follow-up of hospitalisation. Addiction Research and Theory, 23, pp. 510-517. (doi: 10.3109/16066359.2015.1040003)

Penta, R., Ambrosi, D. (2015) The role of microvascular tortuosity in tumor transport phenomena and future perspective for drug delivery. PAMM: Proceedings in Applied Mathematics and Mechanics, 15, pp. 101-102. (doi: 10.1002/pamm.201510041)

Penta, R., Mascheroni, P. (2015) The role of the angiogenic network structure on diffusion and consumption of anticancer drugs.

Postgraduate research students

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Mathematical Biology - Example Research Projects

Information about postgraduate research opportunities and how to apply can be found on the Postgraduate Research Study page. Below is a selection of projects that could be undertaken with our group.

Efficient asymptotic-numerical methods for cardiac electrophysiology (PhD)

Supervisors: Radostin Simitev
Relevant research groups: Mathematical BiologyContinuum Mechanics

The mechanical activity of the heart is controlled by electrical impulses propagating regularly within the cardiac tissue during one's entire lifespan. A large number of very detailed ionic current models of cardiac electrical excitability are available.These realistic models are rather difficult for numerical simulations. This is due not only to their functional complexity but primarily to the significant stiffness of the equations.The goal of the proposed project is to develop fast and efficient numerical methods for solution of the equations of cardiac electrical excitation with the help and in the light of newly-developed methods for asymptotic analysis of the structure of cardiac equations (Simitev & Biktashev (2006) Biophys J; Biktashev et al. (2008), Bull Math Biol; Simitev & Biktashev (2011) Bull Math Biol)

The student will gain considerable experience with the theory of ordinary and partial differential equations, dynamical systems and bifurcation theory, asymptotic and perturbation methods,numerical methods. The applicant will also gain experience in computerprogramming, scientific computing and some statistical methods for comparison with experimental data.

Electrophysiological modelling of hearts with diseases (PhD)

Supervisors: Radostin Simitev
Relevant research groups: Mathematical BiologyContinuum Mechanics

The exact mechanisms by which heart failure occurs are poorly understood. On a more optimistic note, a revolution is underway in healthcare and medicine - numerical simulations are increasingly being used to help diagnose and treat heart disease and devise patient-specific therapies. This approach depends on three key enablers acting in accord. First, mathematical models describing the biophysical changes of biological tissue in disease must be formulated for any predictive computation to be possible at all. Second, statistical techniques for uncertainty quantification and parameter inference must be developed to link these models to patient-specific clinical measurements. Third, efficient numerical algorithms and codes need to be designed to ensure that the models can be simulated in real time so they can be used in the clinic for prediction and prevention. The goals of this project include designing more efficient algorithms for numerical simulation of the electrical behaviour of hearts with diseases on cell, tissue and on whole-organ levels. The most accurate tools we have, at present, are so called monolithic models where the differential equations describing constituent processes are assembled in a single large system and simultaneously solved. While accurate, the monolithic approaches are expensive as a huge disparity in spatial and temporal scales between relatively slow mechanical and much faster electrical processes exists and must be resolved. However, not all electrical behaviour is fast so the project will exploit advances in cardiac asymptotics to develop a reduced kinematic description of propagating electrical signals. These reduced models will be fully coupled to the original partial-differential equations for spatio-temporal evolution of the slow nonlinear dynamic fields. This will allow significantly larger spatial and time steps to be used in monolithic numerical schemes and pave the way for clinical applications, particularly coronary perfusion post infarction. The models thus developed will be applied to specific problems of interest, including (1) coupling among myocyte-fibroblast-collagen scar; (2) shape analysis of scar tissue and their effects on electric signal propagation; (3) personalized 3D heart models using human data. The project will require and will develop knowledge of mathematical modelling, asymptotic and numerical methods for PDEs and software development and some basic knowledge of physiology. Upon completion you will be a mature researcher with broad interdisciplinary education. You will not only be prepared for an independent scientific career but will be much sought after by both academia and industry for the rare combination of mathematical and numerical skills.

Fast-slow asymptotic analysis of cardiac excitation models (PhD)

Supervisors: Radostin Simitev
Relevant research groups: Mathematical BiologyContinuum Mechanics

Mathematical models of cardiac electrical excitation describe processess ocurring on a wide range of time and length scales. 

Mathematical models of vasculogenesis (PhD)

Supervisors: Peter Stewart
Relevant research groups: Mathematical BiologyContinuum Mechanics

Vasculogenesis is the process of forming new blood vessels from endothelial cells, which occurs during embryonic development. Viable blood vessels facilitate tissue perfusion, allowing the tissue to grow beyond the diffusion-limited size. However, in the absence of vasculogenesis, efforts to engineer functional tissues (eg for implantation) are restricted to this diffusion-limited size. This project will investigate mathematical models for vasculogenesis and explore mechanisms to stimulate blood vessel formation for in vitro tissues. The project will involve collaboration with Department of Biological Engineering at MIT, as part of the SofTMechMP project.

A coupled cardiovascular-respiration model for mechanical ventilation (PhD)

Supervisors: Peter Stewart, Nicholas A Hill
Relevant research groups: Mathematical BiologyContinuum Mechanics

Mechanical ventilation is a clinical treatment used to draw air into the lungs to facilitate breathing, used in treatment of premature babies with respiratory distress syndrome and in the treatment of severe Covid pneumonia. The aim is to oxygenate the blood while simultaneously removing unwanted by-products. However, over-inflation of the lungs can reduce the blood supply to the gas exchange surfaces, leading to a ventilation-perfusion mis-match. This PhD project will give you the opportunity to develop a mathematical model to describe the coupling between blood flow in the pulmonary circulation and air flow in the lungs (during both inspiration and expiration). You will devise a coupled computational framework, capable of testing patient-specific ventilation protocols. This is an ideal project for a postgraduate student with an interest in applying mathematical modelling and image analysis to predictive healthcare. The project will give you the opportunity to join a cross-disciplinary Research Hub that aims to push the boundaries of quantitative medicine and improve clinical decision making using innovative mathematical and statistical modelling.

Seminars

Regular seminars relevant to the group are held as part of the Applied Mathematics seminar series. You can find a full list of the seminars within the school on the main seminars page, where you can subscribe to their respective calendars.

Additional Staff Information

Dr Christina A Cobbold : Reader

Population dynamics of ecological systems; spatial ecology; evolutionary ecology in changing environments

Member of other research groups: Statistics and Data Analytics
Research student: Renato Andrade

  • Personal Website
  • Publications
  • Dr Liuyang Feng : Research Associate

    Supervisor: Xiaoyu Luo

  • Dr Hao Gao : Postdoctoral Research Fellow

    Heart Modelling; biomechancis; MRI; fluid-structure interactions

    Research staff: Debao Guan
    Research students: Yingjie Wang, Yalei Yang, Antesar Mohammed Al Dawoud
    Supervisor: Xiaoyu Luo

  • Publications
  • Dr Debao Guan : Research Associate

    Supervisors: Xiaoyu Luo, Hao Gao

  • Prof Nicholas A Hill : Simson Chair

    Random walk models for movement of micro-organisms and animals; spatial point processes in plant ecology

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Jay MacKenzie, Laura Miller, Scott Richardson
    Research students: Andrew Brown, Sathish Kumar

  • Personal Website
  • Publications
  • Prof Xiaoyu Luo : Professor of Applied Mathematics

    Biomechanics; fluid-structure interactions; mathematical biology ; solid mechanics

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Liuyang Feng, Hao Gao, Debao Guan, Wenguang Li, Qingying Shu, Xin Zhuan, Jay MacKenzie
    Research students: Ahmed Mostafa Abdelhady Ismaeel, Yingjie Wang

  • Personal Website
  • Publications
  • Dr Benn Macdonald : Research Assistant

    Member of other research groups: Statistics and Data Analytics
    Research student: Hanadi Alzahrani
    Supervisor: Dirk Husmeier

  • Mx Jay MacKenzie : Research Associate

    Supervisors: Nicholas A Hill, Xiaoyu Luo

  • Dr Laura Miller : EPSRC Postdoctoral Fellow

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems
    Supervisors: Raimondo Penta, Nicholas A Hill

  • Dr Peter Mortensen : Research Associate

    Supervisor: Radostin Simitev

  • Prof Nigel Mottram : Professor of Applied Mathematics

    My research interests are in the mathematical modelling of real-world systems, generally focussing on those that include the dynamics of non-Newtonian fluids. I am particularly interested in anisotropic fluids such as liquid crystals, where viscoelasticity is an important consideration, as is their behaviour under electric fields.

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research student: Parna Mandal

  • Dr Ionut Paun : Research Associate

    Supervisors: Colin Torney, Dirk Husmeier

    Dr Raimondo Penta : Lecturer

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Laura Miller
    Research students: Tahani Al Sariri, Andrew Brown

  • Personal Website
  • Publications
  • Dr Ariel Ramirez Torres : Lecturer

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics

  • Dr Scott Richardson : Research Associate

    Member of other research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Supervisors: Andrew Baggaley, Nicholas A Hill

  • Prof Radostin Simitev : Professor of Applied Mathematics

    Reaction-diffusion equations; Excitable systems; Mathematical models of cardiac electrical excitation

    Member of other research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Peter Mortensen
    Research students: Muhamad Bin Noor Aziz, Parag Gupta, Antesar Mohammed Al Dawoud, Tahani Al Sariri
    Postgraduate opportunities: Observationally-constrained 3D convective spherical models of the solar dynamo (Solar MHD), Fast-slow asymptotic analysis of cardiac excitation models, Numerical simulations of planetary and stellar dynamos, Efficient asymptotic-numerical methods for cardiac electrophysiology, Stellar atmospheres and their magnetic helicity fluxes, Personal Website

  • Publications
  • Dr Peter Stewart : Senior lecturer

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research students: Ahmed Mostafa Abdelhady Ismaeel, Gordon McNicol, Ifeanyi Onah Sunday

  • Personal Website
  • Publications
  • Dr Ben Swallow : Lecturer

    Bayesian statistical inference; Markov chain Monte Carlo (MCMC) methods; data integration; model selection; stochastic processes

    Member of other research groups: Statistics and Data Analytics
    Research students: Stephen Jun Villejo, Chenglei Hu

  • Personal Website
  • Dr Xin Zhuan : Research Associate

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems
    Supervisor: Xiaoyu Luo


  • Mathematical Biology is one of the fastest growing research areas in mathematics and is contributing significantly to our understanding of the biological world. It also produces new mathematical questions.

    The Mathematical Biology Group is a member of the Centre for Mathematics Applied to the Life Sciences, established to promote interdisciplinary research and scholarship in Mathematical Biology. It is a joint centre of the Universities of Glasgow and Strathclyde, under the Synergy agreement.