scholarly journals Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Joshua H. Goldwyn ◽  
Nikita S. Imennov ◽  
Michael Famulare ◽  
Eric Shea-Brown
1978 ◽  
Vol 4 (1) ◽  
pp. 3-27 ◽  
Author(s):  
Jawahar Lal Tiwari ◽  
John E. Hobbie ◽  
James P. Reed ◽  
Donald W. Stanley ◽  
Michael C. Miller

2015 ◽  
Vol 4 (4) ◽  
pp. 364
Author(s):  
Ahmed Mahmood Khudhur ◽  
Ahmed N Abdalla ◽  
Jasni Mohamad Zain ◽  
Hai Tao

<p class="MsoNormal" style="text-align: justify; text-justify: inter-ideograph;"><span style="font-size: 10.0pt;">In recent years, it has been argued and experimentally shown that ion channel noise in neurons can have profound effects on the neuron’s dynamical behavior. Most profoundly, ion channel noise was seen to be able to cause spontaneous firing and stochastic resonance. It has been recently found that a non-trivially persistent cross correlation takes place between the transmembrane voltage fluctuations and the component of open channel fluctuations attributed to gate multiplicity. This non-trivial phenomenon was found to play a major augmentative role for the elevation of excitability and spontaneous firing in the small size cell. In addition, the same phenomenon was found to significantly enhance the spike coherence. In this paper, statistics of the coefficient of variation, to be obtained from the colored stochastic Hodgkin-Huxley equations using voltage clamps techniqueswill be studied. The simulation result shows the coefficient of variation; enhance the agreement with the microscopeinthe case of the noisy currents.</span></p>


Sign in / Sign up

Export Citation Format

Share Document