Home List of Titles Statistical mechanical model of cell membrane ion channels in electric fields: the mean-field approximation
Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/210430
- Statistical mechanical model of cell membrane ion channels in electric fields: the mean-field approximation
- Yang, Y. S.; Thompson, C. J.; Anderson, V.; Wood, A. W.
- A statistical mechanical model of cell membrane ion channels is proposed which incorporates interactions between ion channels and external electric fields. The model provides a physical explanation of trans-membrane ion transport. Under a mean-field approximation, the maximum fractions of open potassium and sodium channels are obtained by solving a self-consistent nonlinear algebraic equation. Using known parameters for the squid giant axon, the model gives excellent agreement with experimental measurements for potassium and sodium trans-membrane conductance. The numerical results imply that the chemical potential of open channels and the interaction energy between channels are well above the thermal noise.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. School of Biophysical Sciences and Electrical Engineering
- Physica A: Statistical Mechanics and its Applications, Vol. 268, no. 3-4 (Jun 1999), pp. 424-432
- Publication year
- FOR Code(s)
- 0105 Mathematical Physics; 0206 Quantum Physics
- Algebra; Approximation theory; Bioelectric potentials; Biological membranes; Cells; Chemical potential; Ionic conduction; Ion channels; Mathematical models; Mean field approximation; Nonlinear equations; Potassium; Sodium; Squid giant axon; Statistical mechanics; Transmembrane conductance
- Publisher URL
- Copyright © 1999 Elsevier Science B.V. All rights reserved.
- Peer reviewed