Dr. Martin Alan Bees
Reader in Applied Mathematics and EPSRC Advanced Research Fellow

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School of Mathematics and Statistics, University of Glasgow

Outline

I have six main research areas, mostly in aspects of mathematical biology, fluid dynamics and/or pattern formation:

Bioconvection: theoretical and experimental approaches to elicit and clarify mechanisms involved in the phenomenon of phototactic and gyrotactic, bioconvection, a hydrodynamic instability induced by the biased swimming behaviour of microorganisms in suspension. The major highlights of this research have been the first quantitative experiments (Bees & Hill 1997; Williams & Bees 2011a), analyses (Bees & Hill 1998, 1998, 1999; Bees, Hill & Pedley 1998; Williams & Bees 2011b) and application of generalized Taylor dispersion theory to gyrotactic swimming microorganisms (Hill & Bees 2002; Bees & Croze 2010).

Plankton dynamics & patchiness: plankton dynamics and patchiness; chaotic advection of plankton in Langmuir circulation; bloom formation in synthetic turbulent flows; application of synchronisation theory from dynamical systems to coupled ecosystem models. Highlights have been the prediction of plankton patchiness length scales from abstract models of interacting patches employing synchronisation theory (Guirey et al. 2010), and the discovery of a new mechanism for plankton bloom formation involving inertial segregation in complex flows (Reigada et al. 2003).

Bacterial swarming: models of biofilms, and particularly bacterial swarming, incorporating thin-film fluid flow, complete wetting problems, bacterial differentiation, quorum sensing and variable viscosity fluids; experiments and theory (Bees et al. 2000, 2002). An important recent development has been the measurement of the flowfield around a constrained bacterium using PIV, and associated numerical computations, which demonstrate the importance of boundary-flagella and flagella-flagella interactions (Cisneros et al. 2008).

Chemoconvection: chemically induced hydrodynamic instabilities; we coined the term “chemoconvection” to describe these instabilities; the first models and quantitative experiments; linear, pseudo-linear; weakly-nonlinear and numerical analyses (Pons et al. 2000, 2001, 2002, 2008; Bees et al. 2001).

Ecology & biocontrol: modelling complex slug-nematode-beetle dynamics; the first rational and systematic investigation of modelling methods; discrete stages, non-autonomous delay differential equations and mass-structured systems (Bees et al. 2006); an unexpected outcome of the work was the phenomenal public interest (TV, radio and tabloids); bifurcation models of speciation (Bees, Coullet & Spiegel 2008).

Physiology: the luminance-response function of the human photopic electroretinogram; formulation of the “Glasgow” model of electrical response associated with light adaptation of the retina, for diagnosis of ocular disorders (Hamilton et al. 2007).

See “publications.”