Abstract
Three simple models are discussed which show cooperative effects in the steady-state transport of neutral molecules across a membrane. The Bragg-Williams approximation is employed, and its limitations discussed. In this approximation to cooperative problems, the diagram method for the calculation of steady-state probabilities and fluxes can still be used. This paper is closely related to one by Blumenthal, Changeux, and Lefever, and provides the foundation for sequels on an oscillatory steady-state phase-transition model (part II) and on simple models possibly related to steady-state potassium ion transport across a nerve membrane (part III).
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Selected References
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- Ehrenstein G., Gilbert D. L. Slow changes of potassium permeability in the squid giant axon. Biophys J. 1966 Sep;6(5):553–566. doi: 10.1016/S0006-3495(66)86677-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L. Electric fields and the cooperativity of biological membranes. Proc Natl Acad Sci U S A. 1967 Jul;58(1):111–114. doi: 10.1073/pnas.58.1.111. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L., Kedem O. Studies in irreversible thermodynamics. 3. Models for steady state and active transport across membranes. J Theor Biol. 1966 Apr;10(3):399–441. doi: 10.1016/0022-5193(66)90136-6. [DOI] [PubMed] [Google Scholar]
- Hill T. L. Studies in irreversible thermodynamics, v. Statistical thermodynamics of a simple steady-state membrane model. Proc Natl Acad Sci U S A. 1966 Jun;55(6):1379–1385. doi: 10.1073/pnas.55.6.1379. [DOI] [PMC free article] [PubMed] [Google Scholar]