Mathematical Modelling of Macroscopic Brain Phenomena

  • Robert M. Miura
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 71)

Abstract

Theoretical studies of the brain have concentrated mainly on microscopic phenomena at the membrane and cellular levels. At the macroscopic level, there are “gross” brain phenomena, e.g., some kinds of epilepsy, that occur on space scales which are large compared to cell size and on time scales which are long compared to time constants associated with molecular and cellular events. Because of the large number of nerve and glial cells involved (on the order of 1011 (Hubel, 1979)), it is difficult to construct a mathematical model of such phenomena by starting with individual cells, connecting them into small circuits, and then combining these circuits into a coherent model for a particular brain structure.

Keywords

Depression Migraine Cardiol Tetrodotoxin 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Robert M. Miura
    • 1
  1. 1.Departments of Mathematics and Pharmacology & Therapeutics, Institute of Applied MathematicsUniversity of British ColumbiaVancouverCanada

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