Relaxation phenomena in the activation and inactivation gates of ionic channels

The dynamics of a voltage-gated ionic channel is modeled by the conventional Hodgkin-Huxley mathematical formalism. In that formalism, the dynamics of the ionic channel activation and inactivation gates is modeled by a first-order differential equation dependent on the gate variable and the membrane potential. In this study a method, which combines statistical equilibrium theory and the thermodynamics of irreversible processes, is proposed for the study of the relaxation phenomena in the activation and inactivation gates of ionic channels present in the excitable membranes of neurons. In order to study the relaxation phenomena, the assumption is made that the activation and inactivation gate order parameters can be treated as fluxes and forces, in the sense of Onsager's theory of irreversible thermodynamics. The kinetic equations are solved by using the Runge-Kutta method, in order to study the relaxation of the order parameters. It is found that the kinetic equations are characterized by two relaxation times. The kinetic coefficients that relate the fluxes to the forces are determined. Furthermore, it is shown that the obtained relaxation times have the same results as those obtained by using the Hodgkin-Huxley model. These results therefore indicate the validity of the proposed approach.

Eser Adı
[dc.title]
Relaxation phenomena in the activation and inactivation gates of ionic channels
Yazar
[dc.contributor.author]
Özer, Mahmut
Yayın Yılı
[dc.date.issued]
2003
Yayın Türü
[dc.type]
proceedings
Özet
[dc.description.abstract]
The dynamics of a voltage-gated ionic channel is modeled by the conventional Hodgkin-Huxley mathematical formalism. In that formalism, the dynamics of the ionic channel activation and inactivation gates is modeled by a first-order differential equation dependent on the gate variable and the membrane potential. In this study a method, which combines statistical equilibrium theory and the thermodynamics of irreversible processes, is proposed for the study of the relaxation phenomena in the activation and inactivation gates of ionic channels present in the excitable membranes of neurons. In order to study the relaxation phenomena, the assumption is made that the activation and inactivation gate order parameters can be treated as fluxes and forces, in the sense of Onsager's theory of irreversible thermodynamics. The kinetic equations are solved by using the Runge-Kutta method, in order to study the relaxation of the order parameters. It is found that the kinetic equations are characterized by two relaxation times. The kinetic coefficients that relate the fluxes to the forces are determined. Furthermore, it is shown that the obtained relaxation times have the same results as those obtained by using the Hodgkin-Huxley model. These results therefore indicate the validity of the proposed approach.
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Künye
[dc.identifier.citation]
Özer, M. (2004). Relaxation phenomena in the (in)activation gates of the voltage‐gated ion channels. AIP Conference Proceedings, 729(1), 362–368. doi:10.1063/1.1814751
Haklar
[dc.rights]
info:eu-repo/semantics/closedAccess
ISSN
[dc.identifier.issn]
0577-9073
İlk Sayfa Sayısı
[dc.identifier.startpage]
206
Son Sayfa Sayısı
[dc.identifier.endpage]
218
Dergi Adı
[dc.relation.journal]
Chinese Journal of Physics
Dergi Sayısı
[dc.identifier.issue]
2
Dergi Cilt Bilgisi
[dc.identifier.volume]
41
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/7374
Tek Biçim Adres
[dc.identifier.uri]
https://doi.org/10.1063/1.1814751
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relaxation inactivation activation kinetic irreversible dynamics formalism modeled phenomena channel Hodgkin-Huxley theory parameters equations fluxes forces thermodynamics proposed obtained method results relate approach therefore indicate solved Runge-Kutta determined characterized coefficients Furthermore validity channels Onsager voltage-gated
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