Propagation model of bio-electric potentials through the shells of the brain

  • Patrice Nicolas
Medicine And Biology
Part of the Lecture Notes in Computer Science book series (LNCS, volume 40)


The discrepancy between potential distributions recorded on the scalp and on the cerebral cortex, as a result of the electric field propagation through the surrounding shells, requires development of techniques which enable us to compute one distribution as a function of the other. The method presented is based on a physical model consistent with neurophysiological patterns, and in which the sources (encephalitic charges and currents) are multipolar distributions. The general field equations, applied to a convenient closed domain, lead to a family of Helmholtz equations which govern the transmission of the potential pseudo-periodic components. Local boundary conditions having been imposed by the multipolar assumption, the solutions are deduced from an elementary source system. It is then shown that the distribution of the surface potential (on the scalp) is obtained by convolution of the cortical potential distribution and a transfer function which is a solution of the Helmholtz equation associated with an elementary source system. An approximation of the cortical distribution can be computed by discrete deconvolution. Finally, various simulation experiments on digital computer allowed us to test the model, by comparison with empirical data.


Helmholtz Equation Local Boundary Condition Cortical Distribution Electric Field Propagation General Field Equation 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Patrice Nicolas
    • 1
  1. 1.Institut National de la Santé et de la Recherche Médicale Lab. Groupe de Recherches U.84Hôpital de la SalpêtrièreParis Cedex 13

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