Mathematical modelling and analysis
Mathematical models can be used to describe core biological mechanisms in order to help develop insight into the way that systems behave and predict behaviour. Ultimately, this may inform policy decisions, for example, when and who to vaccinate for infectious diseases, drug design or optimal light patterns for healthy circadian rhythmicity.
Overview
The kind of models that occur depend strongly on the nature of the research question and the particular system. Members of our centre have expertise in developing models in a variety of forms including ordinary differential equations, partial differential equations and agent-based models. Depending on the application, models may be deterministic or stochastic.
Models are analysed using a broad range of techniques including geometric singular perturbation methods, multiple spatial and/or time scale analysis, asymptotics and nonlinear dynamical systems techniques including bifurcation theory.
Members of our centre are also actively involved in developing novel numerical methods, for example for model data fusion (data assimilation).
Our expertise
- Cancer
- Ecology
- Elasticity theory and mechanics of cell growth
- Epidemiology
- Evolutionary biology
- Open quantum systems
- Population models
- Sleep and circadian rhythms
- Skin adsorption of chemicals
- Stem cell differentiation modelling
- Systems pharmacology (PKPD).
Meet the team
Members
Professor Philip Aston
Professor of Mathematics
Professor Claudio Avignone Rossa
Professor of Systems Microbiology
Dr Matteo Barberis
Reader in Systems Biology, FHMS Coordinator of Centre for Mathematical and Computational Biology (CMCB), School International Lead
Dr Roman Bauer
Senior Lecturer
Professor Tao Chen
Professor in Chemical Engineering; Associate Dean (International)
Dr Carina Dunlop
Senior Lecturer
Dr Oleksiy Klymenko
Lecturer in Chemical Process Engineering
Professor Paul Krause
Emeritus Professor
Professor David Lloyd
Professor in Mathematics
Dr Giovanni Lo Iacono
Senior Lecturer in Biostatistics/Epidemiology
Dr Sotiris Moschoyiannis
Reader in Complex Systems
Dr Joaquin Prada
Senior Lecturer in Epidemiology
Dr Andrea Rocco
Associate Professor (Reader) in Physics and Mathematical Biology
Professor Anne Skeldon
Professor of Mathematics
Associate members
Dr Mohammad Asim
Senior Lecturer (Associate Professor) in Cancer Biology & Therapeutics
Professor Derk-Jan Dijk
Professor of Sleep and Physiology, Director Surrey Sleep Research Centre
Dr Terri Grassby
Lecturer in Food Science
Professor Jonathan Johnston
Professor of Chronobiology and Integrative Physiology
