Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceCanard solutions in neural mass models: consequences on critical regimeshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00109-zMathematical models at multiple temporal and spatial scales can unveil the fundamental mechanisms of critical transitions in brain activities. Neural mass models (NMMs) consider the average temporal dynamics o...ResearchThu, 16 Sep 2021 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00109-zElif Köksal Ersöz and Fabrice Wendling2021-09-16T00:00:00ZRendering neuronal state equations compatible with the principle of stationary actionhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00108-0The principle of stationary action is a cornerstone of modern physics, providing a powerful framework for investigating dynamical systems found in classical mechanics through to quantum field theory. However, ...ResearchThu, 12 Aug 2021 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00108-0Erik D. Fagerholm, W. M. C. Foulkes, Karl J. Friston, Rosalyn J. Moran and Robert Leech2021-08-12T00:00:00ZPattern formation in a 2-population homogenized neuronal network modelhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00107-1We study pattern formation in a 2-population homogenized neural field model of the Hopfield type in one spatial dimension with periodic microstructure. The connectivity functions are periodically modulated in ...ResearchSat, 26 Jun 2021 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00107-1Karina Kolodina, John Wyller, Anna Oleynik and Mads Peter Sørensen2021-06-26T00:00:00ZAuditory streaming emerges from fast excitation and slow delayed inhibitionhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00106-2In the auditory streaming paradigm, alternating sequences of pure tones can be perceived as a single galloping rhythm (integration) or as two sequences with separated low and high tones (segregation). Although...ResearchMon, 03 May 2021 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00106-2Andrea Ferrario and James Rankin2021-05-03T00:00:00ZA model of on/off transitions in neurons of the deep cerebellar nuclei: deciphering the underlying ionic mechanismshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00105-3The neurons of the deep cerebellar nuclei (DCNn) represent the main functional link between the cerebellar cortex and the rest of the central nervous system. Therefore, understanding the electrophysiological p...ResearchThu, 01 Apr 2021 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-021-00105-3Hugues Berry and Stéphane Genet2021-04-01T00:00:00Z