Mathematical biology
Mathematical Biology is the application of mathematical modelling to solve problems in biology and physiology.
Staff
Publications
2025
McNicol, G. R., Dalby, M. J., Stewart, P. S. (2025) A theoretical model for focal adhesion and cytoskeleton formation in non-motile cells. Journal of Theoretical Biology, 596, (doi: 10.1016/j.jtbi.2024.111965)
Ge, Y., Husmeier, D., Rabbani, A., Gao, H. (2025) Advanced statistical inference of myocardial stiffness: A time series Gaussian process approach of emulating cardiac mechanics for real-time clinical decision support. Computers in Biology and Medicine, 184, (doi: 10.1016/j.compbiomed.2024.109381)
2024
Herrer, E. G., Herrada, M. A., Gañán-Calvo, A. M., Stewart, P. S. (2024) Stability of finite-length collapsible channel flow to spanwise perturbations. Physics of Fluids, 36, (doi: 10.1063/5.0237604)
Durrant, R., Cobbold, C., Brunker, K., Campbell, K., Dushoff, J., Ferguson, E. A., Jaswant, G., Lugelo, A., Lushasi, K., Sikana, L., Hampson, K. (2024) Examining the molecular clock hypothesis for the contemporary evolution of the rabies virus. PLoS Pathogens, 20, (doi: 10.1371/journal.ppat.1012740)
Houston, A. J.H., Mottram, N. J. (2024) Spontaneous flows and quantum analogies in heterogeneous active nematic films. Communications Physics, 7, (doi: 10.1038/s42005-024-01864-7)
Yang, H., Mottram, N. J., Kowal, K. N. (2024) Dynamics of a thin film of fluid spreading over a lubricated substrate. Journal of Fluid Mechanics,
Masolele, M. M., Hopcraft, J. G. C., Torney, C. J.T. (2024) Efficient approximate Bayesian inference for quantifying uncertainty in multiscale animal movement models. Ecological Informatics,
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, 996, (doi: 10.1017/jfm.2024.397)
Stewart, P. S., Brook, B. S., Jensen, O. E., Spelman, T. A., Whittaker, R. J., Zouache, M. A. (2024) Rapid amplification of cerebrospinal fluid pressure as a possible mechanism for optic nerve sheath bleeding in infants with nonaccidental head injury. Investigative Ophthalmology and Visual Science, 65, (doi: 10.1167/iovs.65.12.9)
Girelli, A., Giantesio, G., Musesti, A., Penta, R. (2024) Multiscale computational analysis of the steady fluid flow through a lymph node. Biomechanics and Modeling in Mechanobiology, (doi: 10.1007/s10237-024-01879-7)
Xia, Y., Ahmed, Z., Karimullah, A., Mottram, N., Heidari, H., Ghannam, R. (2024) Thermal controlled cholesteric liquid crystal wavelength filter lens for photosensitive epilepsy treatment. Cell Reports Physical Science, 5, (doi: 10.1016/j.xcrp.2024.102158)
Dalton, D., Lazarus, A., Gao, H., Husmeier, D. (2024) Boundary constrained Gaussian processes for robust physics-informed machine learning of linear partial differential equations. Journal of Machine Learning Research,
Brass, D. P., Cobbold, C. A., Purse, B. V., Ewing, D. A., Callaghan, A., White, S. M. (2024) Role of vector phenotypic plasticity in disease transmission as illustrated by the spread of dengue virus by Aedes albopictus. Nature Communications, 15, (doi: 10.1038/s41467-024-52144-5)
Asghari, H., Miller, L., Penta, R., Merodio, J. (2024) On an isotropic porous solid cylinder: the analytical solution and sensitivity analysis of the pressure. Applied Mathematics and Mechanics, 45, pp. 1499-1522. (doi: 10.1007/s10483-024-3144-7)
Ma, P., Cai, L., Wang, X., Wang, Y., Luo, X., Gao, H. (2024) An unconditionally stable scheme for the immersed boundary method with application in cardiac mechanics. Physics of Fluids,
Kavwele, C. M., Hopcraft, J. G. C., Morales, J. M., Nyafi, G., Kimuya, N., Torney, C. J. (2024) Real‐time classification of Serengeti wildebeest behaviour with edge machine learning and a long‐range IoT network. Canadian Journal of Zoology,
Gunda, S., Giammarini, A., Ramírez-Torres, A., Natarajan, S., Barrera, O., Grillo, A. (2024) Fractionalization of Forchheimer’s correction to Darcy’s law in porous media in large deformations. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241252577)
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, 428, (doi: 10.1016/j.cma.2024.117083)
Dorfmann, L., Merodio, J., Penta, R., Saxena, P. (2024) In recognition of the 80th birthday of Ray Ogden. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241257268)
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, 11, (doi: 10.1098/rsos.240265)
Spelman, T. A., Onah, I. S., MacTaggart, D., Stewart, P. S. (2024) Elastic jump propagation across a blood vessel junction. Royal Society Open Science, 11, (doi: 10.1098/rsos.232000)
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, 11, (doi: 10.1098/rsos.231983)
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, 71, pp. 757-760. (doi: 10.1090/noti2958)
Dorfmann, L., Ogden, R. W. (2024) Hard-magnetic soft magnetoelastic materials: energy considerations. International Journal of Solids and Structures, 294, (doi: 10.1016/j.ijsolstr.2024.112789)
Cai, L., Zhong, Q., Xu, J., Huang, Y., Gao, H. (2024) A lumped parameter model for evaluating coronary artery blood supply capacity. Mathematical Biosciences and Engineering, 21, pp. 5838-5862. (doi: 10.3934/mbe.2024258)
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, (doi: 10.1177/10812865241242998)
Dalton, D., Husmeier, D., Gao, H. (2024) Physics and Lie Symmetry Informed Gaussian Processes.
Köry, J., Hill, N.A., Luo, X.Y., Stewart, P.S. (2024) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480, (doi: 10.1098/rspa.2023.0611)
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)
Du, Y., Luo, X., Hill, N. A. (2024) Connecting weakly nonlinear elasticity theories of isotropic hyperelastic materials. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241238985)
Kavwele, C. M., Hopcraft, J. G. C., Davy, D., Torney, C. J. (2024) Automated and repeated aerial observations of GPS‐collared animals using UAVs and open‐source electronics. Ecosphere, 15, (doi: 10.1002/ecs2.4841)
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,
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)
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, 40, (doi: 10.1002/cnm.3798)
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)
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)
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)
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)
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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)
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)
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
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)
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)
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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.
There is also the possibility of applying to The Leverhulme Programme for Doctoral Training in Ecological Data Science which is hosted in our school. Information on how to apply can be found on the programme's application page.
Efficient asymptotic-numerical methods for cardiac electrophysiology (PhD)
Supervisors: Radostin Simitev
Relevant research groups: Mathematical Biology, Continuum 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 Biology, Continuum 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 Biology, Continuum 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 Biology, Continuum 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 Biology, Continuum 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
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
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
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
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
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
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
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
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.