Publisher’s Note: Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons [Phys. Rev. E83, 041908 (2011)]

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Joshua H. Goldwyn ◽  
Nikita S. Imennov ◽  
Michael Famulare ◽  
Eric Shea-Brown
Keyword(s):  
Differential Equation ◽  
Stochastic Differential Equation ◽  
Ion Channel ◽  
Channel Noise ◽  
Differential Equation Models ◽  
Ion Channel Noise

Some stochastic differential equation models of an aquatic ecosystem

1978 ◽  
Vol 4 (1) ◽  
pp. 3-27 ◽  
Author(s):  
Jawahar Lal Tiwari ◽  
John E. Hobbie ◽  
James P. Reed ◽  
Donald W. Stanley ◽  
Michael C. Miller
Keyword(s):  
Differential Equation ◽  
Stochastic Differential Equation ◽  
Aquatic Ecosystem ◽  
Differential Equation Models

scholarly journals An investigation of the coefficient of variation using voltage clamps techniques

2015 ◽  
Vol 4 (4) ◽  
pp. 364
Author(s):  
Ahmed Mahmood Khudhur ◽  
Ahmed N Abdalla ◽  
Jasni Mohamad Zain ◽  
Hai Tao
Keyword(s):  
Ion Channel ◽  
Coefficient Of Variation ◽  
Cross Correlation ◽  
Open Channel ◽  
Dynamical Behavior ◽  
Channel Noise ◽  
Spontaneous Firing ◽  
Voltage Clamps ◽  
Transmembrane Voltage ◽  
Ion Channel Noise

<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>

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