Skip to main content
Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1973 Jan;70(1):62–65. doi: 10.1073/pnas.70.1.62

On the Theory of Ion Transport Across the Nerve Membrane, VII. Cooperativity Between Channels of a Large Square Lattice

Yi-Der Chen 1, Terrell L Hill 1
PMCID: PMC433184  PMID: 4509665

Abstract

The exact kinetics of a 10 × 10 Ising system (periodic boundary conditions) with two-state channels arranged in a square lattice was studied by computer simulation. With all three values of the cooperativity parameter used, no induction in the K+-current curve was obtained. This confirms one of our previous conclusions concerning K+ channels in the squid axon membrane: models with interacting channels arranged in a twodimensional lattice (Adam's model) are apparently excluded. Other topics included: equilibrium properties; short-range pair correlation functions; phase transition.

Keywords: computer simulation, Ising kinetics, Adam model, correlation functions, phase transition

Full text

PDF
62

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Hill T. L., Chen Y. D. On the theory of ion transport across the nerve membrane. 3. Potassium ion kinetics and cooperativity (with x=4,6,9). Proc Natl Acad Sci U S A. 1971 Oct;68(10):2488–2492. doi: 10.1073/pnas.68.10.2488. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Hill T. L., Chen Y. D. On the theory of ion transport across the nerve membrane. II. Potassium ion kinetics and cooperativity (with x = 4). Proc Natl Acad Sci U S A. 1971 Aug;68(8):1711–1715. doi: 10.1073/pnas.68.8.1711. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences

RESOURCES