Most Recent Articles: The Journal of Mathematical Neurosciencehttps://mathematical-neuroscience.springeropen.comMost Recent Articles: The Journal of Mathematical NeuroscienceStochastic Hybrid Systems in Cellular Neurosciencehttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0067-7We review recent work on the theory and applications of stochastic hybrid systems in cellular neuroscience. A stochastic hybrid system or piecewise deterministic Markov process involves the coupling between a ...ReviewWed, 22 Aug 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0067-7Paul C. Bressloff and James N. Maclaurin2018-08-22T00:00:00ZData Assimilation Methods for Neuronal State and Parameter Estimationhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0066-8This tutorial illustrates the use of data assimilation algorithms to estimate unobserved variables and unknown parameters of conductance-based neuronal models. Modern data assimilation (DA) techniques are wide...ReviewThu, 09 Aug 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0066-8Matthew J. Moye and Casey O. Diekman2018-08-09T00:00:00ZBifurcations of Limit Cycles in a Reduced Model of the Xenopus Tadpole Central Pattern Generatorhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0065-9We present the study of a minimal microcircuit controlling locomotion in two-day-old Xenopus tadpoles. During swimming, neurons in the spinal central pattern generator (CPG) generate anti-phase oscillations betwe...ResearchWed, 18 Jul 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0065-9Andrea Ferrario, Robert Merrison-Hort, Stephen R. Soffe, Wen-Chang Li and Roman Borisyuk2018-07-18T00:00:00ZWhat Is Required for Neuronal Calcium Waves? A Numerical Parameter Studyhttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0064-xNeuronal calcium signals propagating by simple diffusion and reaction with mobile and stationary buffers are limited to cellular microdomains. The distance intracellular calcium signals can travel may be signi...ResearchFri, 13 Jul 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0064-xMarkus Breit and Gillian Queisser2018-07-13T00:00:00ZInvestigating the Correlationâ€“Firing Rate Relationship in Heterogeneous Recurrent Networkshttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0063-yThe structure of spiking activity in cortical networks has important implications for how the brain ultimately codes sensory signals. However, our understanding of how network and intrinsic cellular mechanisms...ResearchWed, 06 Jun 2018 00:00:00 GMThttps://mathematical-neuroscience.springeropen.com/articles/10.1186/s13408-018-0063-yAndrea K. Barreiro and Cheng Ly2018-06-06T00:00:00Z