Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceThe Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditionshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0054-4Continuum neural field equations model the large-scale spatio-temporal dynamics of interacting neurons on a cortical surface. They have been extensively studied, both analytically and numerically, on bounded a...ResearchThu, 26 Oct 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0054-4Aytül Gökçe, Daniele Avitabile and Stephen Coombes2017-10-26T00:00:00ZFundamental Limits of Forced Asynchronous Spiking with Integrate and Fire Dynamicshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0053-5ResearchWed, 11 Oct 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0053-5Anirban Nandi, Heinz Schättler, Jason T. Ritt and ShiNung Ching2017-10-11T00:00:00ZSymmetries Constrain Dynamics in a Family of Balanced Neural Networkshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0052-6We examine a family of random firing-rate neural networks in which we enforce the neurobiological constraint of Dale’s Law—each neuron makes either excitatory or inhibitory connections onto its post-synaptic t...ResearchTue, 10 Oct 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0052-6Andrea K. Barreiro, J. Nathan Kutz and Eli Shlizerman2017-10-10T00:00:00ZAn Analysis of Waves Underlying Grid Cell Firing in the Medial Enthorinal Cortexhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0051-7Layer II stellate cells in the medial enthorinal cortex (MEC) express hyperpolarisation-activated cyclic-nucleotide-gated (HCN) channels that allow for rebound spiking via an ...ResearchFri, 25 Aug 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0051-7Mayte Bonilla-Quintana, Kyle C. A. Wedgwood, Reuben D. O’Dea and Stephen Coombes2017-08-25T00:00:00ZA Stochastic Version of the Jansen and Rit Neural Mass Model: Analysis and Numericshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0046-4Neural mass models provide a useful framework for modelling mesoscopic neural dynamics and in this article we consider the Jansen and Rit neural mass model (JR-NMM). We formulate a stochastic version of it whi...ResearchTue, 08 Aug 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0046-4Markus Ableidinger, Evelyn Buckwar and Harald Hinterleitner2017-08-08T00:00:00Z