𝔖 Bobbio Scriptorium
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Nonlinear equivalent circuits for membranes

✍ Scribed by William F. Pickard

Book ID
104698192
Publisher
Springer
Year
1984
Tongue
English
Weight
793 KB
Volume
21
Category
Article
ISSN
0303-6812

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✦ Synopsis

The problem of obtaining Helmholtz equivalents for nonlinear resistive one-ports is considered. Two fundamentally different classes of equivalent are described, one local and the other global. For each, necessary and sufficient conditions are derived for the existence and uniqueness of either the ThΓ©venin equivalent or the Norton equivalent or both. These concepts are illustrated (i) by proving that a cell whose channels and pumps are monotone in the membrane potential will, in the absence of net state changes in these ionophores, possess a unique stable resting potential and (ii) by demonstrating that it is in principle impossible to assign unique equivalent circuits to such ionophores.

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Equivalent circuits for electrochemical
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✍ R.D. Armstrong πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science βš– 141 KB

Recently, Macdonald 1 has suggested an equivalent circuit (Fig. 19, ref. 1) for an electrochemical cell where (a) an infinitely rapid faradaic reaction occurs at the electrodes, and (b) an indifferent electrolyte is present. This circuit is at variance with conventional electrochemical thinking and