Skip to main content
Log in

Numerical solution of the bioelectric field of the e.r.g.

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

A numerical solution of a model of the bioelectric field of the e.r.g. was developed utilising a finited-difference successive overrelaxation technique. The difference equations implemented by the algorithms are applicable to any spherical volume conductor problem involving axial symmetry. The nodal network utilised was characterised by a variable and nonuniform spacing between the nodes and a pointwise variation of conductivity. An excellent accuracy was demonstrated when the numerical solutions were compared with the analytical solutions for several simplified test cases. When simulating the more realistic physiological configurations the model demonstrated a reasonably good agreement with the experimental data obtained from the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Doslak, M. J. (1978) The effects of variations of the conducting media inhomogeneities on the electroretinogram. Ph.D. dissertation, Case Western Reserve University

  • Doslak, M. J. (1980) The effects of variations of the conducting media inhomogeneities on the electroretinogram.IEEE Trans.,BME-27, 88–94

    Google Scholar 

  • Forsythe, G. E. andWasow, W. R. (1960)Finite-difference methods for partial differential equations. John Wiley and Sons, Inc., New York

    MATH  Google Scholar 

  • Greenspan, D. (1965)Introductory numerical analysis of elliptic boundary value problems. Harper and Row, New York

    MATH  Google Scholar 

  • Kinnen, E., andNewton, D. (1966) Iterative computer solutions to Laplace's equations in two and three dimensions. Report for College of Engineering and Applied Science, University of Rochester

  • Klee, M., andPlonsey, R. (1972) Finite difference solution for biopotentials of axially symmetric cells.Biophys. J.,12, 1661–1675

    Article  Google Scholar 

  • Plonsey, R. (1969)Bioelectric phenomena. McGraw-Hill Book Co., New York, pp. 202–275

    Google Scholar 

  • Varga, R. S. (1962)Matrix iterative analysis. Prentice-Hall, Inc., Englewood Cliffs, N. J.

    Google Scholar 

  • Young, D. M. (1971)Iterative solution of large linear systems. Academic Press, New York

    MATH  Google Scholar 

  • Krakau, C. E. T. (1958) On the potential field of the rabbit electroretinogram.Acta. Ophth.,36, 183–207

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Doslak, M.J., Plonsey, R. & Thomas, C.W. Numerical solution of the bioelectric field of the e.r.g.. Med. Biol. Eng. Comput. 19, 149–156 (1981). https://doi.org/10.1007/BF02442708

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02442708

Keywords

Navigation