Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceA 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 Hinterleitner2017-08-08T00:00:00ZFast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classeshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0050-8Bursting is a phenomenon found in a variety of physical and biological systems. For example, in neuroscience, bursting is believed to play a key role in the way information is transferred in the nervous system...ResearchTue, 25 Jul 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0050-8Maria Luisa Saggio, Andreas Spiegler, Christophe Bernard and Viktor K. Jirsa2017-07-25T00:00:00ZRegularization of Ill-Posed Point Neuron Modelshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0049-1Point neuron models with a Heaviside firing rate function can be ill-posed. That is, the initial-condition-to-solution map might become discontinuous in finite time. If a Lipschitz continuous but steep firing rat...ResearchFri, 14 Jul 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0049-1Bjørn Fredrik Nielsen2017-07-14T00:00:00ZFinite-Size Effects on Traveling Wave Solutions to Neural Field Equationshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0048-2Neural field equations are used to describe the spatio-temporal evolution of the activity in a network of synaptically coupled populations of neurons in the continuum limit. Their heuristic derivation involves...ResearchThu, 06 Jul 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0048-2Eva Lang and Wilhelm Stannat2017-07-06T00:00:00ZHow Adaptation Makes Low Firing Rates Robusthttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0047-3Low frequency firing is modeled by Type 1 neurons with a SNIC, but, because of the vertical slope of the square-root-like f–I curve, low f only occurs over a narrow range of I. When an adaptive current is added, ...ResearchSat, 24 Jun 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0047-3Arthur S. Sherman and Joon Ha2017-06-24T00:00:00Z