Presentation 2004/3/10
The Spatiotemporal Dynamics Theory of Ionic Concentration and Potential
Seiichi SAKATANI, Akira HIROSE,
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Abstract(in English) It is well known that membrane potential in neuron is determined by the ionic concentrations and ionic permeability. However, the ionic concentrations are determined by both the ionic flows through the ionic channels and intracellular and extracellular ionic flows. Therefore, it is needed to resolve the intracellular and extracellular ionic concentrations and potential simultaneously. In this paper, we construct the theory for spatiotemporal dynamics of ionic concentration and potential. We adopt Hodgkin-Huxley-type nonlinear conductance to express the ionic permeability and use Nernst-Planck equation to denote the ionic concentrations. Additionally, we have succeeded in constructing the theory by setting the charge conserved at the intracellular fluid, the extracellular one and the boundary. By using the theory, we numerically analyze the distribution of intracellular ionic concentrations and potential. Consequently, the validity of the theory has been confirmed since the results are consistent with those in the physiological experiment. This theory has a high degree of availability since it is extendable to the various types of ionic channels and is applicable to any cells.
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Keyword(in English) membrane potential / ionic concentration / Hodgkin-Huxley equation / Nernst-Planck equation / law of conservation of charge
Paper # NC2003-136
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Committee NC
Conference Date 2004/3/10(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The Spatiotemporal Dynamics Theory of Ionic Concentration and Potential
Sub Title (in English)
Keyword(1) membrane potential
Keyword(2) ionic concentration
Keyword(3) Hodgkin-Huxley equation
Keyword(4) Nernst-Planck equation
Keyword(5) law of conservation of charge
1st Author's Name Seiichi SAKATANI
1st Author's Affiliation Department of Frontier Informatics, Graduate School of Frontier Sciences, The University of Tokyo()
2nd Author's Name Akira HIROSE
2nd Author's Affiliation Department of Frontier Informatics, Graduate School of Frontier Sciences, The University of Tokyo
Date 2004/3/10
Paper # NC2003-136
Volume (vol) vol.103
Number (no) 732
Page pp.pp.-
#Pages 6
Date of Issue