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.

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Contact

Dr Laura Miller
Lecturer
Mathematics and Statistics

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