Dr Laura Miller

Lecturer

Mathematics and Statistics

Contact

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.

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Research Interests

I was appointed as a Lecturer in Applied Mathematics in the Department of Mathematics and Statistics at the University of Strathclyde 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.

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

More professional activities

Projects

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

More projects

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Contact

Dr Laura Miller
Lecturer
Mathematics and Statistics

Email: laura.miller@strath.ac.uk
Tel: 548 3647