Most Recent Articles: The Journal of Mathematical Neurosciencehttp://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceEmergent Dynamical Properties of the BCM Learning Rulehttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0044-6The Bienenstock–Cooper–Munro (BCM) learning rule provides a simple setup for synaptic modification that combines a Hebbian product rule with a homeostatic mechanism that keeps the weights bounded. The homeosta...Mon, 20 Feb 2017 00:00:00 GMThttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0044-6Lawrence C. Udeigwe, Paul W. Munro and G. Bard Ermentrout2017-02-20T00:00:00ZStable Control of Firing Rate Mean and Variance by Dual Homeostatic Mechanismshttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0043-7Homeostatic processes that provide negative feedback to regulate neuronal firing rates are essential for normal brain function. Indeed, multiple parameters of individual neurons, including the scale of afferen...Tue, 17 Jan 2017 00:00:00 GMThttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0043-7Jonathan Cannon and Paul Miller2017-01-17T00:00:00ZA Theoretical Study on the Role of Astrocytic Activity in Neuronal Hyperexcitability by a Novel Neuron-Glia Mass Modelhttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0042-0Recent experimental evidence on the clustering of glutamate and GABA transporters on astrocytic processes surrounding synaptic terminals pose the question of the functional relevance of the astrocytes in the r...Wed, 21 Dec 2016 00:00:00 GMThttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0042-0Aurélie Garnier, Alexandre Vidal and Habib Benali2016-12-21T00:00:00ZAnalytic Modeling of Neural Tissue: I. A Spherical Bidomainhttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0041-1Presented here is a model of neural tissue in a conductive medium stimulated by externally injected currents. The tissue is described as a conductively isotropic bidomain, i.e. comprised of intra and extracell...Fri, 09 Sep 2016 00:00:00 GMThttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0041-1Benjamin L. Schwartz, Munish Chauhan and Rosalind J. Sadleir2016-09-09T00:00:00ZResponses of Leaky Integrate-and-Fire Neurons to a Plurality of Stimuli in Their Receptive Fieldshttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0040-2A fundamental question concerning the way the visual world is represented in our brain is how a cortical cell responds when its classical receptive field contains a plurality of stimuli. Two opposing models ha...Mon, 23 May 2016 00:00:00 GMThttp://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0040-2Kang Li, Claus Bundesen and Susanne Ditlevsen2016-05-23T00:00:00Z