Dr Laura Miller

EPSRC Doctoral Prize Research Fellow (Mathematics)

Research interests

My research in applied mathematics focusses on poroelasticity, composite materials, viscoelasticity, and applications of continuum mechanics models to real world scenarios such as cardiac modelling (electrophysiology, perfusion, and disease) and diseases affecting the eyes. My PhD project modelled the perfusion and mechanics of multiscale biological soft tissues. The multiscale models that I derive in my work are obtained via applying homogenization techniques to fluid structure interaction problems that describe the materials at the microstructural level. This allows to obtain systems of partial differential equations that describe the effective behaviour of the tissue/material at the macroscale level. During my current fellowship, I have expanded the modelling and solution approaches that I utilise to include mixture theory, statistical sensitivity analyses and techniques to derive analytical solutions. This gives a wide range of approaches that can be selected depending upon the application or the type of information that should be encoded in the model.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2021 | 2020 | 2019

Number of items: 12.

2024

Asghari, H., Miller, L. , Penta, R. and Merodio, J. (2024) On an isotropic porous solid cylinder: the analytical solution and sensitivity analysis of the pressure. Applied Mathematics and Mechanics, (Accepted for Publication)

Miller, L. and 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, 105219. (doi: 10.1016/j.euromechsol.2023.105219)

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

2023

Miller, L. , Ramirez-Torres, A. , Rodríguez-Ramos, R. and Penta, R. (2023) Effective governing equations for viscoelastic composites. Materials, 16(14), 4944. (doi: 10.3390/ma16144944) (PMID:37512218) (PMCID:PMC10381759)

Miller, L. and 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(3), pp. 1019-1033. (doi: 10.1007/s10237-023-01698-2) (PMID:36867283) (PMCID:PMC10167178)

Miller, L. and Penta, R. (2023) Micromechanical analysis of the effective stiffness of poroelastic composites. European Journal of Mechanics - A/Solids, 98, 104875. (doi: 10.1016/j.euromechsol.2022.104875)

Miller, L. , Di Stefano, S., Grillo, A. and 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

Miller, L. and Penta, R. (2021) Double poroelasticity derived from the microstructure. Acta Mechanica, 232(10), pp. 3801-3823. (doi: 10.1007/s00707-021-03030-4)

Miller, L. and Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites. Applied Sciences, 11(14), 6611. (doi: 10.3390/app11146611)

2020

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

Di Stefano, S., Miller, L., Grillo, A. and Penta, R. (2020) Effective balance equations for electrostrictive composites. Zeitschrift für Angewandte Mathematik und Physik, 71, 166. (doi: 10.1007/s00033-020-01365-x)

2019

Penta, R. , Miller, L., Grillo, A., Ramírez-Torres, A. , Mascheroni, P. and Rodríguez-Ramos, R. (2019) Porosity and diffusion in biological tissues. Recent advances and further perspectives. In: Merodio, J. and Ogden, R. (eds.) Constitutive Modelling of Solid Continua. Series: Solid mechanics and its applications (262). Springer: Cham, pp. 311-356. ISBN 9783030315467 (doi: 10.1007/978-3-030-31547-4_11)