Mathematical biology
Mathematical Biology is the application of mathematical modelling to solve problems in biology and physiology.
Staff
Publications
2023
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)
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,
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)
Miller, L., Penta, R. (2023) Homogenization of a coupled electrical and mechanical bidomain model for the myocardium Mathematics and Mechanics of Solids,
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)
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,
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)
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)
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)
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)
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)
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., Ford, T. J., Sykes, R., Mangion, K., Kotecha, T., Rakhit, R., Galasko, G., Hoole, S., Davenport, A., Abraham, G., Kharbanda, R., Ferreira, V., Chiribiri, A., Perera, D., Raman, H., Arnold, J. R., Greenwood, J. P., Fisher, M., Husmeier, D., Hill, N., Luo, X., Williams, N., Miller, L., Dempster, J., Macfarlane, P. W., Welsh, P., Sattar, N., Whittaker, A., McConnachie, A., Padmanabhan, S., Berry, C. (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)
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)
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., Ford, T. J., Mangion, K., Kotecha, T., Rakhit, R., Galasko, G., Hoole, S., Davenport, A., Kharbanda, R., Ferreira, V. M., Shanmuganathan, M., Chiribiri, A., Perera, D., Rahman, H., Arnold, J. R., Greenwood, J. P., Fisher, M., Husmeier, D., Hill, N. A., Luo, X., Williams, N., Miller, L., Dempster, J., Macfarlane, P. W., Welsh, P., Sattar, N., Whittaker, A., McConnachie, A., Padmanabhan, S., Berry, C. (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)
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)
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)
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
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)
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)
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., Rahel, S., Wilting, A., Kristine, B., Cole, B., Balzter, H., Martius, C., Zlinszky, A., Calvignac-Spencer, S., Cobbold, C. A., Dawson, T. P., Emerson, B. C., Ferrier, S., Gilbert, M. T. P., Herold, M., Jones, L., Leendertz, F. H., Matthews, L., Millington, J. D.A., Olson, J. R., Ovaskainen, O., Raffaelli, D., Reeve, R., Rödel, M.-O., Rodgers, T. W., Snape, S., Visseren-Hamakers, I., Wogler, A. P., White, P. C.L., Wooster, M. J., Yu, D. W. (2017) Connecting Earth observation to high-throughput biodiversity data Nature Ecology and Evolution, 1, (doi: 10.1038/s41559-017-0176)
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)
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)
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., Heien, E., Aubert, J., Aurnou, J. M., Avery, M., Brown, B., Buffett, B. A., Busse, F., Christensen, U. R., Davies, C. J., Featherstone, N., Gastine, T., Glatzmaier, G. A., Gubbins, D., Guermond, J.-L., Hayashi, Y.-Y., Hollerbach, R., Hwang, L. J., Jackson, A., Jones, C. A., Jiang, W., Kellogg, L. H., Kuang, W., Landeau, M., Marti, P. H., Olson, P., Ribeiro, A., Sasaki, Y., Schaeffer, N., Simitev, R. D., Sheyko, A., Silva, L., Stanley, S., Takahashi, F., Takehiro, S.-i., Wicht, J., Willis, A. P. (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)
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
Land, S., Gurev, V., Arens, S., Augustin, C. M., Baron, L., Blake, R., Bradley, C., Castro, S., Crozier, A., Favino, M., Fastl, T. E., Fritz, T., Gao, H., Gizzi, A., Griffith, B. E., Hurtado, D. E., Krause, R., Luo, X., Nash, M. P., Pezzuto, S., Plank, G., Rossi, S., Ruprecht, D., Seemann, G., Smith, N. P., Sundnes, J., Rice, J. J., Trayanova, N., Wang, D., Wang, Z., Niederer, S. A. (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)
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)
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
2011
Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle Journal of Muscle Research and Cell Motility, 32, pp. 209-220. (doi: 10.1007/s10974-011-9260-y)
Gao, H., Long, Q., Kumar Das, S., Halls, J., Graves, M., Gillard, J.H., Li, Z.-Y. (2011) Study of carotid arterial plaque stress for symptomatic and asymptomatic patients Journal of Biomechanics, 44, pp. 2551-2557. (doi: 10.1016/j.jbiomech.2011.07.012)
Grinfeld, M., Langer, M., Mottram, N. J. (2011) Nematic viscosity estimation using director kickback dynamics Liquid Crystals, 38, pp. 981-987. (doi: 10.1080/02678292.2011.588969)
Gao, H., Long, Q., Das, S.K., Sadat, U., Graves, M., Gillard, J.H., Li, Z.Y. (2011) Stress analysis of carotid atheroma in transient ischemic attack patients: evidence for extreme stress-induced plaque rupture Annals of Biomedical Engineering, 39, pp. 2203-2212. (doi: 10.1007/s10439-011-0314-5)
Brown, C. V., McHale, G., Mottram, N. J. (2011) Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces Journal of Applied Physics, 110, (doi: 10.1063/1.3606435)
Simitev, R.D. (2011) Double-diffusive convection in a rotating cylindrical annulus with conical caps Physics of the Earth and Planetary Interiors, 186, pp. 183-190. (doi: 10.1016/j.pepi.2011.04.007)
Busse, F.H., Simitev, R. (2011) Remarks on some typical assumptions in dynamo theory Geophysical and Astrophysical Fluid Dynamics, 105, pp. 234-247. (doi: 10.1080/03091929.2010.519891)
Bustamante, R., Dorfmann, A., Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity International Journal of Solids and Structures, 48, pp. 874-883. (doi: 10.1016/j.ijsolstr.2010.11.021)
Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain Annals of Biomedical Engineering, 39, pp. 786-800. (doi: 10.1007/s10439-010-0205-1)
Macnamara, C. K., Roberts, B. (2011) The period ratio for kink and sausage modes in a magnetic slab Astronomy and Astrophysics, 526, (doi: 10.1051/0004-6361/201015460)
Majumdar, A., Mottram, N. (2011) Liquid crystal theory and modelling: Discussion meeting Liquid Crystals Today, 20, pp. 20-21. (doi: 10.1080/1358314x.2010.527662)
Raghib, M., Hill, N.A., Dieckmann, U. (2011) A multiscale maximum entropy moment closure for locally regulated space–time point process models of population dynamics Journal of Mathematical Biology, 62, pp. 605-653. (doi: 10.1007/s00285-010-0345-9)
Simitev, R.D., Biktashev, V.N. (2011) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart Bulletin of Mathematical Biology, 73, pp. 72-115. (doi: 10.1007/s11538-010-9523-6)
Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2011) Automatic quantification and 3D visualisation of edema in cardiac MRI (doi: 10.1109/IEMBS.2011.6091978)
Gao, H., Kadir, K., Berry, C., Payen, A., Soraghan, J., Luo, X. (2011) CMRI based 3D left ventricle motion analysis on patients with acute myocardial infarction (doi: 10.1109/IEMBS.2011.6091682)
Cobbold, C.A., Powell, J.A. (2011) Evolution stabilises the synchronising dynamics of poikilotherm life cylces Bulletin of Mathematical Biology, 73, pp. 1052-1081. (doi: 10.1007/s11538-010-9552-1)
Shams, M., Destrade, M., Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity Wave Motion, 48, pp. 552-567. (doi: 10.1016/j.wavemoti.2011.04.004)
Luo, X., Li, W., Hill, N., Ogden, R., Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall
Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media Springer
(2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials pp. 107-152. (doi: 10.1007/978-3-7091-0701-0)
Luo, X. (2011) Modelling flows in collapsible tubes Eolss Publishers
Allan, A., Gao, H., McComb, C., Berry, C. (2011) Myocardial strain estimated from standard cine MRI closely represents strain estimated from dedicated strain-encoded MRI (doi: 10.1109/IEMBS.2011.6090729)
Destrade, M., Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids Mathematics and Mechanics of Solids, 16, pp. 594-604. (doi: 10.1177/1081286510387695)
Saxena, P., Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space International Journal of Applied Mechanics, 3, pp. 633-665. (doi: 10.1142/S1758825111001172)
Holzapfel, G.A., Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments Journal of Elasticity, 104, pp. 319-342. (doi: 10.1007/s10659-010-9277-2)
Ogden, R.W., Saccomandi, G., Sgura, I. (2011) Phenomenological modeling of DNA overstretching Journal of Nonlinear Mathematical Physics, 18, pp. 411-427. (doi: 10.1142/S140292511100160X)
Ogden, R.W., Singh, B. (2011) Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: biot revisited Journal of Mechanics of Materials and Structures, 6, pp. 453-477. (doi: 10.2140/jomms.2011.6.453)
Gao, H., Long, Q. (2011) Stress analysis on carotid atherosclerotic plaques by fluid structure interaction Springer
Hackett-Jones, E., White, A., Cobbold, C.A. (2011) The evolution of developmental timing in natural enemy systems Journal of Theoretical Biology, 275, pp. 1-11. (doi: 10.1016/j.jtbi.2010.12.040)
Simitev, R. (2011) Thermal convection: patterns, evolution and stability, by M. Lappa Geophysical and Astrophysical Fluid Dynamics, 105, pp. 109-111. (doi: 10.1080/03091929.2010.506096)
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2010
Yokoi, N., Balarac, G., Kitiashvili, I.N., Kleeorin, N., Kosovichev, A.G., Rogachevskii, I., Simitev, R. (2010) Integrated exploration of turbulent cross-helicity effect: theory, observation, modeling and numerical simulations of the solar convection zone Proceedings of 2010 CTR Summer Program, pp. 493-502.
Destrade, M., Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity Journal of the Acoustical Society of America, 128, pp. 3334-3343. (doi: 10.1121/1.3505102)
Evans, C. R., Davidson, A. J., Brown, C. V., Mottram, N. J. (2010) Static alignment states in a bistable azimuthal nematic device with blazed grating sidewalls Journal of Physics D: Applied Physics, 43, (doi: 10.1088/0022-3727/43/49/495105)
Destrade, M., Murphy, J.G., Ogden, R.W. (2010) On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability International Journal of Engineering Science, 48, pp. 1212-1224. (doi: 10.1016/j.ijengsci.2010.09.011)
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Macnamara, C.K., Roberts, B. (2010) Effects of thermal conduction and compressive viscosity on the period ratio of the slow mode Astronomy and Astrophysics, 515, (doi: 10.1051/0004-6361/200913409)
Davidson, A. J., Brown, C. V., Mottram, N. J., Ladak, S., Evans, C. R. (2010) Defect trajectories and domain-wall loop dynamics during two-frequency switching in a bistable azimuthal nematic device Physical Review E, 81, (doi: 10.1103/PhysRevE.81.051712)
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Hopkins, W., Gao, H., Das, S., Long, Q. (2010) Carotid wall motion analysis based on B-mode ultrasound images (doi: 10.1007/978-3-642-14515-5_222)
Holzapfel, G.A., Ogden, R.W. (2010) Constitutive modelling of arteries Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466, pp. 1551-1597. (doi: 10.1098/rspa.2010.0058)
Gjini, E., Haydon, D., Barry, J., Cobbold, C. (2010) Critical interplay between parasite differentiation, host immunity and antigenic variation in trypanosome infections American Naturalist, 176, pp. 424-439. (doi: 10.1086/656276)
Gao, H., Long, Q., Graves, M., Li, Z., Gillard, J. (2010) Curvedness study on atherosclerosis plaques and its implications to plaque stress (doi: 10.1007/978-3-642-14515-5_384)
Khan, M., Luo, X.H., Nicolleau, F.C.G.A., Tucker, P.G., Iacono, G.L. (2010) Effects of LES sub-grid flow structure on particle deposition in a plane channel with a ribbed wall International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 999-1015. (doi: 10.1002/cnm.1186)
Yin, M., Luo, X.Y., Wang, T.J., Watton, P.N. (2010) Effects of flow vortex on a chorded mitral valve in the left ventricle International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 381-404. (doi: 10.1002/cnm.1298)
Dorfmann, A., Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material IMA Journal of Applied Mathematics, 75, pp. 603-636. (doi: 10.1093/imamat/hxq022)
Cisonni, J., Van Hirtum, A., Luo, X.Y., Pelorson, X. (2010) Experimental validation of quasi-one-dimensional and two-dimensional steady glottal flow models Medical and Biological Engineering and Computing, 48, pp. 903-910. (doi: 10.1007/s11517-010-0645-7)
Stewart, P. S., Waters, S. L., Jensen, O. E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer Physics of Fluids, 22, pp. 031902. (doi: 10.1063/1.3337824)
Liu, Z., Xu, X., Lim, F.F.J., Luo, X., Van Hirtum, A., Hill, N.A. (2010) Modeling and simulation of human upper airway Springer-Verlag
Holzapfel, G. A., Ogden, R. W. (2010) Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta Journal of the Royal Society: Interface, 7, pp. 787-799. (doi: 10.1098/rsif.2009.0357)
Dorfmann, A., Merodio, J., Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material Journal of Engineering Mathematics, 68, pp. 27-36. (doi: 10.1007/s10665-009-9318-7)
Zhu, Y.F., Luo, X.Y., Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure European Journal of Mechanics - A/Solids, 29, pp. 216-229. (doi: 10.1016/j.euromechsol.2009.10.004)
Dorfmann, A., Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability International Journal of Engineering Science, 48, pp. 1-14. (doi: 10.1016/j.ijengsci.2008.06.005)
Simitev, R.D., Busse, F.H. (2010) Problems of astrophysical turbulent convection: thermal convection in a layer without boundaries Center for Turbulence Research, Stanford University
Busse, F.H., Simitev, R.D. (2010) Some unusual properties of turbulent convection and dynamos in rotating spherical shells Springer
Stewart, P. S., Waters, S. L., Billingham, J., Jensen, O. E. (2010) Spatially localised growth within global instabilities of flexible channel flows Springer
Liu, H.F., Luo, X.Y., Cai, Z.X. (2010) Stability and Pressure Boundary conditions in the collapsible channel flows ASME
Destrade, M., Gilchrist, M.D., Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues Journal of the Acoustical Society of America, 127, pp. 2103-2106. (doi: 10.1121/1.3337232)
Simitev, R.D., Busse, F.H., Kosovichev, A.G. (2010) Turbulent 3D MHD dynamo model in spherical shells: regular oscillations of the dipolar field Center for Turbulence Research, Stanford University
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 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, Roxanna Barry
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, Jamie Quinn
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: Roxanna Barry, 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.

Host-Parsitoid Coinvasion
Integrodifference models of host-parasitoid interactions give rise to a wide range of travelling wave dynamics
Mountain Pine Beetle Attack
In collaboration with entomologists we are using mathematical models to give insight into mountain pine beetle adaptation to changing temperatures
Intrinsic Dynamics of a Cardiac Excitation Model
The electrical properties of the cardiac myocytes are described by multi-component reaction-diffusion equations
Bioconvection Patterns
Bioconvection patterns, as seen from above, due to hydrodynamic instabilities induced by the biased swimming motion of many negatively buoyant unicellular green algae