Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceTimescales and Mechanisms of Sigh-Like Bursting and Spiking in Models of Rhythmic Respiratory Neuronshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0045-5Neural networks generate a variety of rhythmic activity patterns, often involving different timescales. One example arises in the respiratory network in the pre-Bötzinger complex of the mammalian brainstem, wh...Tue, 06 Jun 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0045-5Yangyang Wang and Jonathan E. Rubin2017-06-06T00:00:00ZEmergent Dynamical Properties of the BCM Learning Rulehttps://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 GMThttps://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 Mechanismshttps://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 GMThttps://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 Modelhttps://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 GMThttps://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 Bidomainhttps://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 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-016-0041-1Benjamin L. Schwartz, Munish Chauhan and Rosalind J. Sadleir2016-09-09T00:00:00Z