The bulletin of mathematical biophysics

, Volume 29, Issue 4, pp 705–710 | Cite as

Effect of conductivity interfaces

  • T. C. Pilkington
  • R. C. Barr
  • C. L. Rogers


By utilizing an integral equation formulation of Laplace’s equation it is shown that knowledge of the geometry of the conductivity interface, the values of conductivity, and the potentials and gradients on the conductivity interface are sufficient information to determine the infinite media potentials and infinite media potential gradients. The integral equations may be approximated by finite sums and the results can be implemented practically by using a medium size digital computer.


Observation Point Potential Gradient Surface Element Infinite Media Judicious Choice 
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Copyright information

© N. Rashevsky 1967

Authors and Affiliations

  • T. C. Pilkington
    • 1
  • R. C. Barr
    • 1
  • C. L. Rogers
    • 1
  1. 1.Department of Electrical EngineeringDuke UniversityDurham

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