My research interests lie in the area of mathematical biology; in particular, my main focus is the use of numerical and multiscale asymptotic methods to investigate how the interaction of processes occurring across multiple spatio-temporal scales gives rise to emergent system dynamics.
Examples of current research topics include: (i) Mechanistic models of airway mechanics and remodelling in asthma; (ii) study of information propagation in discrete systems, such as neural networks; (iii) the application of multiphase models to tissue growth problems; (iv) ODE and cellular automata modelling of cell population dynamics with application to antimicrobial resistance (AMR); and (v) the use of multiscale asymptotic methods to aid in the development of macroscale models with which microscale (cell-level) events, such as cell growth or signalling processes, may be described. Central to much of this work is interdisciplinary collaborations, for example with colleagues in Respiratory Medicine and the Centre for Biomolecular Sciences.
The applied nature of my work allows for opportunity for interaction with industry and business via, e.g. CMMB Consultancy.
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Current PhD students: Michael Forrester, Hannah Pybus, Oliver Smith, Daniel Williamson, James Preston, Sarah Brown, Charline Tessereau
Previous PhD students: Linda Irons (2018), Regi Jurkus (2018), Elizabeth Holden (2018), Alex Rose (2018), Mayte Bonilla Quintana (2017)
Current PDRAs: Emma McIvor, Elizabeth Holden
Previous PDRAs: Michael Hill (2015-18), Joe Collis (2014-17), Yi-Ping Lo (2012-13)