Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceThe Dynamics of Networks of Identical Theta Neuronshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0059-7We consider finite and infinite all-to-all coupled networks of identical theta neurons. Two types of synaptic interactions are investigated: instantaneous and delayed (via first-order synaptic processing). Ext...ResearchMon, 05 Feb 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0059-7Carlo R. Laing2018-02-05T00:00:00ZKernel Reconstruction for Delayed Neural Field Equationshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0058-8Understanding the neural field activity for realistic living systems is a challenging task in contemporary neuroscience. Neural fields have been studied and developed theoretically and numerically with conside...ResearchMon, 05 Feb 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0058-8Jehan Alswaihli, Roland Potthast, Ingo Bojak, Douglas Saddy and Axel Hutt2018-02-05T00:00:00ZSparse Functional Identification of Complex Cells from Spike Times and the Decoding of Visual Stimulihttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0057-1We investigate the sparse functional identification of complex cells and the decoding of spatio-temporal visual stimuli encoded by an ensemble of complex cells. The reconstruction algorithm is formulated as a ...ResearchThu, 18 Jan 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0057-1Aurel A. Lazar, Nikul H. Ukani and Yiyin Zhou2018-01-18T00:00:00ZRobust Exponential Memory in Hopfield Networkshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0056-2The Hopfield recurrent neural network is a classical auto-associative model of memory, in which collections of symmetrically coupled McCullochâ€“Pitts binary neurons interact to perform emergent computation. Alt...ResearchTue, 16 Jan 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0056-2Christopher J. Hillar and Ngoc M. Tran2018-01-16T00:00:00ZA Rate-Reduced Neuron Model for Complex Spiking Behaviorhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0055-3We present a simple rate-reduced neuron model that captures a wide range of complex, biologically plausible, and physiologically relevant spiking behavior. This includes spike-frequency adaptation, postinhibit...ResearchMon, 11 Dec 2017 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-017-0055-3Koen Dijkstra, Yuri A. Kuznetsov, Michel J. A. M. van Putten and Stephan A. van Gils2017-12-11T00:00:00Z