310 citations · 3.3k across the 60 of their papers we have counts for
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Stochastic Wilson-Cowan models of neuronal network dynamics with memory and delay
Igor Goychuk, Andriy Goychuk
We consider a simple Markovian class of the stochastic Wilson-Cowan type models of neuronal network dynamics, which incorporates stochastic delay caused by the existence of a refra…
Stochastic modeling of excitable dynamics: improved Langevin model for mesoscopic channel noise
Igor Goychuk
Influence of mesoscopic channel noise on excitable dynamics of living cells became a hot subject within the last decade, and the traditional biophysical models of neuronal dynamics…
Noise-assisted spike propagation in myelinated neurons
Anna Ochab-Marcinek, Gerhard Schmid, Igor Goychuk +1
We consider noise-assisted spike propagation in myelinated axons within a multi-compartment stochastic Hodgkin-Huxley model. The noise originates from a finite number of ion channe…
Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin-Huxley systems
G. Schmid, I. Goychuk, P. Hanggi
Voltage-dependent ion channels determine the electric properties of axonal cell membranes. They not only allow the passage of ions through the cell membrane but also contribute to…