Accession Number:

AD0757784

Title:

Potential Induced by a Point Source of Current in the Interior of a Spherical Cell,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Report Date:

1972-12-01

Pagination or Media Count:

69.0

Abstract:

The potential is calculated for all time, everywhere inside a spherical cell and in the external bathing medium for the case of a point source of current turned on abruptly at t0. The problem is solved by exact methods and by singular perturbation theory. The model for the cell consists of a sphere of radius a with an internal medium of conductivity sigma sub i surrounded by a membrane of thickness delta, conductivity Sigma sub m and surface capacity C sub m, bathed in an external medium of conductivity Sigma sub 0. The solution is discussed for the physiologically interesting case of epsilonSigma sub m aSigma sub i much less than 1, that is, when the effective internal resistance is small compared to the effective membrane resistance. The most important physiological results are when the rapid transient has died out, for times much greater than C sub maSigma sub i. Author

Subject Categories:

  • Anatomy and Physiology
  • Theoretical Mathematics
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE