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Further study of the two-dimensional cable theory: An electric model for a flat thin association of cells with a directional intercellular communication

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Summary

The two-dimensional cable theory originally presented in relation to the electrotonus along a flat tissue of the rat atrial appendage is improved by taking account of double space constants instead of a single one and an explicit boundary condition at the tip of the current injecting microelectrode. A differential equation is formulated for the membrane potential change which is produced along the tissue by the intracellular injection of a current. The solution is formally expressed in terms of the Green's function. Specific solutions corresponding to the injection of a unit current step or a linearly rising current are discussed in detail.

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Authors and Affiliations

  1. Department of Physiology, School of Dentistry, Aichigakuin University, Nagoya, Japan

    H. Shiba & Y. Kanno

  2. Department of Physiology, School of Dentistry, Hiroshima University, Hiroshima, Japan

    H. Shiba & Y. Kanno

Authors
  1. H. Shiba
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  2. Y. Kanno
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Shiba, H., Kanno, Y. Further study of the two-dimensional cable theory: An electric model for a flat thin association of cells with a directional intercellular communication. Biophysik 7, 295–301 (1971). https://doi.org/10.1007/BF01190241

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  • DOI: https://doi.org/10.1007/BF01190241

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