Application of modern mathematical tools and network theory to model and understand brain instabilities and epilepsy


The recent decade has seen significant progress in our ability to analyse mathematically complex interaction processes on large finitely connected networks, with topologies tailored to mimic those of observed biological systems. The main methods are finite connectivity replica methods and generating functional analysis. In this project we explore the potential of this new analysis technology, supplemented by numerical simulations, to increase our understanding of instabilities in the brain, such as epilepsy, via a close collaboration between experts in experimental neuroscience (at the Institute of Psychiatry, Psychology and Neuroscience) and in mathematical biology (at the Institute for Mathematical and Molecular Biomedicine).


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Paz JT, Huguenard JR. Microcircuits and their interactions in epilepsy: is the focus out of focus? Nat Neurosci. 2015 Mar;18(3):351-9.


Richardson MP. Large scale brain models of epilepsy: dynamics meets connectomics. J Neurol Neurosurg Psychiatry 2012;83:1238-48.


A.C.C. Coolen, R. Kuehn and P. Sollich, `Theory of Neural Information Processing Systems' (Oxford University Press 2005)


A.C.C. Coolen, N.S. Skantzos, I. Perez Castillo, C.J. Perez Vicente, J.P.L. Hatchett, B. Wemmenhove and T. Nikoletopoulos, J. Phys. A38 (2005), 8289-8317 `Finitely Connected Vector Spin Systems with Random Matrix Interactions'

Biological Areas:



Genes, development and STEM approaches to biology