School of Mathematics & Statistics

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)

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)

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,

Yan, Z., Kowal, K. N. (2024) A controllable sliding law for thin-film flows over slippery fluid-saturated substrates: theory and experiments. Journal of Fluid Mechanics, 982, (doi: 10.1017/jfm.2024.127)

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

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

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

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

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

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

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)

Guan, J. H., Magoon, C. W., Durey, M., Camassa, R., Saenz, P. J. (2023) Traveling Faraday waves. Physical Review Fluids, 8, (doi: 10.1103/PhysRevFluids.8.110501)

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)

Liu, N., Durey, M., Bush, J. W. M. (2023) Pilot-wave dynamics in a rotating frame: the onset of orbital instability. Journal of Fluid Mechanics, 973, (doi: 10.1017/jfm.2023.742)

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

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

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

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

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

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

Durey, M., Milewski, P. A. (2023) Resonant triad interactions of gravity waves in cylindrical basins. Journal of Fluid Mechanics, 966, (doi: 10.1017/jfm.2023.441)

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

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)

Teed, R. J., Dormy, E. (2023) Solenoidal force balances in numerical dynamos. Journal of Fluid Mechanics, 964, (doi: 10.1017/jfm.2023.332)

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)

Watson, S. J. (2023) Navier-Stokes-Fourier system with phase transitions. Meccanica, 58, pp. 1163-1172. (doi: 10.1007/s11012-022-01620-7)

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)

Bourne, D.P., Pearce, M., Roper, S.M. (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport. Mechanics Research Communications, 127, (doi: 10.1016/j.mechrescom.2022.104023)

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)

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)

Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M., Wilkinson, M. (2022) A new implementation of the geometric method for solving the Eady slice equations. Journal of Computational Physics, 469, (doi: 10.1016/j.jcp.2022.111542)

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)

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)

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.

Leung, L. T., Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 1. Self-similar flow regimes. Journal of Fluid Mechanics, 940, (doi: 10.1017/jfm.2022.214)

Leung, L. T., Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 2. Stability analysis. Journal of Fluid Mechanics, 940, (doi: 10.1017/jfm.2022.263)

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)

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)

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

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

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

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)

Kowal, K. N. (2021) Viscous banding instabilities: non-porous viscous fingering. Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.660)

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

Teed, R. J., Latter, H. N. (2021) Axisymmetric simulations of the convective overstability in protoplanetary discs. Monthly Notices of the Royal Astronomical Society, 507, pp. 5523-5541. (doi: 10.1093/mnras/stab2311)

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

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)

Thomson, S. J., Durey, M., Rosales, R. R. (2021) Discrete and periodic complex Ginzburg-Landau equation for a hydrodynamic active lattice. Physical Review E, 103, (doi: 10.1103/PhysRevE.103.062215)

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)

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)

Durey, M., Bush, J. W.M. (2021) Classical pilot-wave dynamics: the free particle. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31, (doi: 10.1063/5.0039975)

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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)

Durey, M., Milewski, P. A. (2018) Faraday wave–droplet dynamics: discrete-time analysis. Journal of Fluid Mechanics, 821, pp. 296-329. (doi: 10.1017/jfm.2017.235)

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)

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)

Hori, K., Teed, R.J., Jones, C.A. (2018) The dynamics of magnetic Rossby waves in spherical dynamo simulations: a signature of strong-field dynamos? Physics of the Earth and Planetary Interiors, 276, pp. 68-85. (doi: 10.1016/j.pepi.2017.07.008)

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

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)

Teed, R., Hori, K., Tobias, S., Jones, C. A. (2017) Observation and Excitation of Magnetohydrodynamic Waves in Numerical Models of Earth's Core.

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)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2017) Instabilities in rapid directional solidification under weak flow. Physical Review E, 96, (doi: 10.1103/PhysRevE.96.062802)

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)

Kowal, K. N., Altieri, A. L., Davis, S. H. (2017) Strongly nonlinear theory of rapid solidification near absolute stability. Physical Review E, 96, (doi: 10.1103/PhysRevE.96.042801)

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)

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)

Watson, S. J. (2017) Lorentzian symmetry predicts universality beyond scaling laws. Europhysics Letters, 118, (doi: 10.1209/0295-5075/118/56001)

Teed, R. J., Proctor, M. R. E. (2017) Quasi-cyclic behaviour in non-linear simulations of the shear dynamo. Monthly Notices of the Royal Astronomical Society, 467, pp. 4858-4864. (doi: 10.1093/mnras/stx421)

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)

Shumaylova, V., Teed, R. J., Proctor, M. R.E. (2017) Large-to small-scale dynamo in domains of large aspect ratio: kinematic regime. Monthly Notices of the Royal Astronomical Society, 466, pp. 3513-3518. (doi: 10.1093/mnras/stw3379)

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

Teed, R. (2017) Identifying MHD Waves in Numerical Models of the Geodynamo.

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)

Teed, R. (2017) Nonlinear Properties of the Shear Dynamo Model.

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)

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)

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)

Teed, R., Proctor, M. R.E. (2016) Destruction of large-scale magnetic field in non-linear simulations of the shear dynamo. Monthly Notices of the Royal Astronomical Society, 458, pp. 2885-2889. (doi: 10.1093/mnras/stw490)

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

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

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

Kowal, K. N., Pegler, S. S., Worster, M. G. (2016) Dynamics of laterally confined marine ice sheets. Journal of Fluid Mechanics, 790, (doi: 10.1017/jfm.2016.37)

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)

Teed, R. (2016) Excitation of Torsional Waves in the Earth's Core.

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

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

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)

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)

Hori, K., Jones, C.A., Teed, R.J. (2015) Slow magnetic Rossby waves in the Earth's core. Geophysical Research Letters, 42, pp. 6622-6629. (doi: 10.1002/2015GL064733)

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)

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)

Teed, R. J., Jones, C. A., Tobias, S. M. (2015) The transition to Earth-like torsional oscillations in magnetoconvection simulations. Earth and Planetary Science Letters, 419, pp. 22-31. (doi: 10.1016/j.epsl.2015.02.045)

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)

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)

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)

Kowal, K. N., Worster, M. G. (2015) Lubricated viscous gravity currents. Journal of Fluid Mechanics, 766, pp. 626-655. (doi: 10.1017/jfm.2015.30)

Watson, S. J. (2015) Emergent parabolic scaling of nano-faceting crystal growth. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471, pp. 20140560. (doi: 10.1098/rspa.2014.0560)

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)

Bourne, D.P., Roper, S.M. (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53, pp. 2545-2569. (doi: 10.1137/141000993)

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.

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.

Teed, R., Jones, C., Tobias, S. (2015) Torsional Waves Operating in Geodynamo and Magnetoconvection Simulations.