Dr Laura Miller
Lecturer
Mathematics and Statistics
Personal statement
I was appointed as a Lecturer in Applied Mathematics in the Department from November 2024. Prior to this I was an EPSRC post doctoral prize research fellow at the University of Glasgow (2022-2024). This was after completing my PhD in applied maths also at the University of Glasgow (2018-2022). 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. As in EPSRC Doctoral Prize Fellow, I 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.
Publications
- Porous Media Modeling. Exploring Porosity and Diffusion in Biological Tissues
- Penta Raimondo, Miller Laura, Grillo Alfio, Ramírez-Torres Ariel, Mascheroni Pietro, Rodríguez-Ramos Reinaldo
- Solid Mechanics and its Applications (2025) (2025)
- https://doi.org/10.1007/978-3-031-89280-6_15
- Falkner–Skan equation for bi‐viscosity nanofluid flow over a stretching wedge surface and suction/injection
- Mahabaleshwar Ulavathi Shettar, Maranna Thippaiah, Swaminathan Nedunchezhian, Miller Laura, Penta Raimondo
- Zeitschrift fur Angewandte Mathematik und Mechanik Vol 105 (2025)
- https://doi.org/10.1002/zamm.70198
- Homogenization of solute transport in double porosity materials
- Mascheroni Pietro, Miller Laura, Penta Raimondo
- Mathematical Methods in the Applied Sciences Vol 48, pp. 11419-11432 (2025)
- https://doi.org/10.1002/mma.10973
- Homogenized multiscale modelling of an electrically active double poroelastic material representing the myocardium
- Miller Laura, Penta Raimondo
- Biomechanics and Modeling in Mechanobiology Vol 24, pp. 635-662 (2025)
- https://doi.org/10.1007/s10237-025-01931-0
- Homogenised modelling of the electro-mechanical behaviour of a vascularised poroelastic composite representing the myocardium
- Miller Laura, Penta Raimondo
- Mechanics of Materials Vol 202 (2025)
- https://doi.org/10.1016/j.mechmat.2024.105215
- Homogenization of a coupled electrical and mechanical bidomain model for the myocardium
- Miller Laura, Penta Raimondo
- Mathematics and Mechanics of Solids Vol 30, pp. 406–427 (2025)
- https://doi.org/10.1177/10812865231207600
Research Interests
I was appointed Lecturer in Applied Mathematics within the Department of Mathematics and Statistics at the University of Strathclyde in November 2024. Prior to this, I held an EPSRC Postdoctoral Prize Research Fellowship at the University of Glasgow (2022–2024), following the completion of my PhD in Applied Mathematics at the same institution (2018–2022).
My research lies at the intersection of applied mathematics and biology, with a particular focus on poroelasticity, composite and viscoelastic materials, and the development of continuum mechanics models for complex biological systems. I apply these frameworks to clinically relevant scenarios, including cardiac modelling, encompassing electrophysiology, perfusion, and disease progression, as well as pathologies affecting eye tissues.
During my doctoral studies, I developed multiscale mathematical models to describe perfusion and mechanical behaviour in biological soft tissues. These models are derived using homogenization techniques applied to fluid–structure interaction problems, enabling the transition from microscale material descriptions to effective macroscale partial differential equation systems.
In addition to homogenization, my methodological toolkit includes mixture theory, analytical solution techniques, and statistical sensitivity analysis. This breadth allows for tailored modelling strategies that reflect the specific physical, biological, or clinical features of the system under investigation.
I actively collaborate with clinicians to co-design interdisciplinary medical devices, particularly in the context of eye disease. My work integrates mathematical modelling and real world healthcare challenges to advance translational research, bridging the gap between theoretical innovation and clinical application.
Professional Activities
- UK Hydrogels Network Seminar, 3rd July 2025
- Speaker
- 3/7/2025
- Invited Speaker at Mathematics and Mechanics of Biological Tissues, Padua, June 16-18, 2025
- Speaker
- 17/6/2025
- Invited talk at the International Workshop on Multiscale Brain Modelling and Beyond: A Focus on Biological Tissues, School of Mathematics & Statistics, University of Glasgow, June 2–3, 2025
- Speaker
- 3/6/2025
- University of Strathclyde Department of Mathematics and Statistics Colloquium
- Speaker
- 29/1/2025
- Universita Cattolica di Sacro Cuore, Brescia Invited Seminar speaker
- Speaker
- 17/12/2024
- University of Glasgow Applied Mathematics Seminar Speaker
- Speaker
- 9/3/2023
Projects
- JARSS PhD position
- Miller, Laura (Principal Investigator)
- 01-Jan-2025 - 30-Jan-2028
- Biological Tissues - Modelling, Mechanics, and Applications (Isaac Newton Institute Network)
- Miller, Laura (Principal Investigator) Majumdar, Apala (Co-investigator)
- An INI Network grant (£6,000) to create a Strathclyde led UK-EU network on Biological Tissues - Modelling, Mechanics, and Applications, with stakeholders in Glasgow, Oxford, Italy, Czech Republic and Germany.
- 25-Jan-2025 - 31-Jan-2027
- EPSRC IAA: Physics Informed Neural Networks and Liquid-Crystal Based Treatment Methods for Bacterial Corneal Ulcers
- Miller, Laura (Co-investigator)
- 01-Jan-2022 - 31-Jan-2026
Contact
Dr
Laura
Miller
Lecturer
Mathematics and Statistics
Email: laura.miller@strath.ac.uk
Tel: 548 3804