Dr Mark Flegg

Research Overview

My research areas are broad but usually is tied to mathematically understanding processes in biology. Central to this understanding is patterning and unstable systems, reaction-diffusion phenomena and multiscale phenomena.

Mathematically, my interests are as broad as mathematics itself. Currently looking for excited PhD students interested in the following topics: Analysis of mechanical properties of virtual tissues, Understanding microscopic to macroscopic reaction-diffusion processes, Non-autonomous Turing patterning, Mathematical modelling of colon crypts, kidneys, cell signalling, wound healing and others. If you have an interesting idea, please contact me for a chat.

Selected Publications

[1] Flegg, Mark Bruce ; Chapman, Stephen Jonathan ; Erban, Radek. "The two-regime method for optimizing stochastic reaction-diffusion simulations". In: Journal of the Royal Society Interface. 2012 ; Vol. 9, No. 70. pp. 859 - 868. https://doi.org/10.1098/rsif.2011.0574

[2] Flegg, Mark Bruce ; Chapman, Stephen Jonathan ; Zheng, Likun ; Erban, Radek. "Analysis of the two-regime method on square meshes". In: SIAM Review. 2014 ; Vol. 36, No. 3. pp. 561 - 588. https://doi.org/10.1137/130915844

[3] Cavallo, James ; Flegg, Mark B. "Reversible DOI and Smoluchowski kinetics for high-order reactions". In: SIAM Journal on Applied Mathematics. 2019 ; Vol. 79, No. 2. pp. 594-618. https://doi.org/10.1137/17M1151997

[4] Flegg, Mark Bruce ; Hellander, Stefan ; Erban, Radek. "Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations". In: Journal of Computational Physics. 2015 ; Vol. 289. pp. 1-17. https://doi.org/10.1016/j.jcp.2015.01.030