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. 1970 Apr;65(4):1069-76.
doi: 10.1073/pnas.65.4.1069.

Cooperative effects in models of steady-state transport across membranes. I

Cooperative effects in models of steady-state transport across membranes. I

T L Hill et al. Proc Natl Acad Sci U S A. 1970 Apr.

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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References

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