My research interests lie mainly in the area of mathematical biology; 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. Particular applications of interest are tissue growth and mechanics (applied to tissue engineering and asthma) and network structure and dynamics (with applications in neuroscience and also power grid operation).
Examples of current research topics include: (i) Mechanistic models of airway mechanics and remodelling in asthma; (ii) the influence of network structure on network dynamics and operation, with application in neuroscience and power grids; (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: Ewan Fewell, Kinga Korek, Sonia Dari, Oliver Cattell, Adam Blakey, Malvina Bozhidarova, Jacob Jepson, Sarah Brown
Previous PhD students: Charline Tessereau (2021), Oliver Smith (2021), Daniel Williamson (2020), Michael Forrester (2020), Hannah Pybus (2020), James Preston (2019), Linda Irons (2018), Regi Jurkus (2018), Elizabeth Holden (2018), Alex Rose (2018), Mayte Bonilla Quintana (2017)
PDRAs: Zak Crowson
Previous PDRAs: Oliver Smith (2021-22), Michael Forrester (2020-22), Hannah Pybus (2022), Emma McIvor (2019), Elizabeth Holden (2019), Michael Hill (2015-18), Joe Collis (2014-17), Yi-Ping Lo (2012-13)