Outputs (86)

Clustering through post inhibitory rebound in synaptically coupled neurons
Journal Article
Chik, D. T. W., Coombes, S., & Wang, Z. D. Clustering through post inhibitory rebound in synaptically coupled neurons

Post inhibitory rebound is a nonlinear phenomenon present in a variety of nerve cells. Following a period of hyper-polarization this effect allows a neuron to fire a spike or packet of spikes before returning to rest. It is an important mechanism u... Read More about Clustering through post inhibitory rebound in synaptically coupled neurons.

Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release
Journal Article
Coombes, S., Hinch, R., & Timofeeva, Y. Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release

Calcium ions are an important second messenger in living cells. Indeed calcium signals in the form of waves have been the subject of much recent experimental interest. It is now well established that these waves are composed of elementary stochasti... Read More about Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release.

Phase-amplitude descriptions of neural oscillator models
Journal Article
Wedgwood, K. C., Lin, K. K., Thul, R., & Coombes, S. Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience, 3(2), https://doi.org/10.1186/2190-8567-3-2

Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such models in response to weak perturbations is now particularly well... Read More about Phase-amplitude descriptions of neural oscillator models.

Using computational models to relate structural and functional brain connectivity
Journal Article
Hlinka, J., & Coombes, S. Using computational models to relate structural and functional brain connectivity. European Journal of Neuroscience, 36(2), https://doi.org/10.1111/j.1460-9568.2012.08081.x

Modern imaging methods allow a non-invasive assessment of both structural and functional brain connectivity. This has lead to
the identification of disease-related alterations affecting functional connectivity. The mechanism of how such alterations... Read More about Using computational models to relate structural and functional brain connectivity.

Toward blueprints for network architecture, biophysical dynamics, and signal transduction
Journal Article
Coombes, S., Doiron, B., Josic, K., & Shea-Brown, E. Toward blueprints for network architecture, biophysical dynamics, and signal transduction

We review mathematical aspects of biophysical dynamics, signal transduction and network architecture that have been used to uncover functionally significant relations between the dynamics of single neurons and the networks they compose. We focus on... Read More about Toward blueprints for network architecture, biophysical dynamics, and signal transduction.

Existence and wandering of bumps in a spiking neural network model
Journal Article
Chow, C., & Coombes, S. Existence and wandering of bumps in a spiking neural network model

We study spatially localized states of a spiking neuronal network populated by a pulse coupled phase oscillator known as the lighthouse model. We show that in the limit of slow synaptic interactions in the continuum limit the dynamics reduce to tho... Read More about Existence and wandering of bumps in a spiking neural network model.