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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
. 1976 Nov;73(11):4003–4006. doi: 10.1073/pnas.73.11.4003

Analogue solution for electrical capacity of membrane-covered cubes in cubic array at high concentration.

K S Cole
PMCID: PMC431302  PMID: 1069286

Abstract

Earlier measurements have shown that the equations derived for the resistance of suspension of spheres apply up to a volume concentration of 100% for close-packing forms. They have also shown, by a resistance-capacitance analogue, that they apply for the capacity of a close-packing of membrane-covered square cylinders in square array, approximating muscle and nerve. The present work is an extension of the two-dimensional to a three-dimensional array of membrane-covered cubes in a cubic array. It is found by measurements of a three-dimensional electrolytic analogue that the capacitance is indeed expressed by an extension of the analytic solution at low concentrations up to 100% volume concentration of the membrane-covered form, such as epithelial tissues. There is thus at least one example each of two-and three-dimensional forms which conform to the low concentration analysis up to 100% volume and so give a basis for the extensions to other and more complicated forms to complete a survey to work begun by Fricke in 1923.

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Selected References

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

  1. Cole K. S. Analogue solution for electrical capacity of membrane covered square cylinders in square array at high concentration. Proc Natl Acad Sci U S A. 1975 Dec;72(12):4936–4939. doi: 10.1073/pnas.72.12.4936. [DOI] [PMC free article] [PubMed] [Google Scholar]
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