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Travelling waves in a neural field model with refractoriness (2013)
Journal Article
Meijer, H. G., & Coombes, S. (2014). Travelling waves in a neural field model with refractoriness. Journal of Mathematical Biology, 68(5), 1249-1268. https://doi.org/10.1007/s00285-013-0670-x

At one level of abstraction neural tissue can be regarded as a medium for turning local synaptic activity into output signals that propagate over large distances via axons to generate further synaptic activity that can cause reverberant activity in n... Read More about Travelling waves in a neural field model with refractoriness.

A biophysical model of endocannabinoid-mediated short term depression in hippocampal inhibition (2013)
Journal Article
Zachariou, M., Alexander, S. P., Coombes, S., & Christodoulou, C. (2013). A biophysical model of endocannabinoid-mediated short term depression in hippocampal inhibition. PLoS ONE, 8(3), Article e58296. https://doi.org/10.1371/journal.pone.0058926

Memories are believed to be represented in the synaptic pathways of vastly interconnected networks of neurons. The plasticity of synapses, that is, their strengthening and weakening depending on neuronal activity, is believed to be the basis of lea... Read More about A biophysical model of endocannabinoid-mediated short term depression in hippocampal inhibition.

Limitations of perturbative techniques in the analysis of rhythms and oscillations (2013)
Journal Article
Lin, K. K., Wedgwood, K. C., Coombes, S., & Young, L. (2013). Limitations of perturbative techniques in the analysis of rhythms and oscillations. Journal of Mathematical Biology, 66(1-2), https://doi.org/10.1007/s00285-012-0506-0

Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in question are “sufficiently weak”, an assumption that is not always valid when... Read More about Limitations of perturbative techniques in the analysis of rhythms and oscillations.