Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceSaddle Slow Manifolds and Canard Orbits in \(\mathbb{R}^{4}\) and Application to the Full Hodgkin–Huxley Modelhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0060-1Many physiological phenomena have the property that some variables evolve much faster than others. For example, neuron models typically involve observable differences in time scales. The Hodgkin–Huxley model i...ResearchThu, 19 Apr 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0060-1Cris R. Hasan, Bernd Krauskopf and Hinke M. Osinga2018-04-19T00:00:00ZThe 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 McCulloch–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. Tran2018-01-16T00:00:00Z