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18 April 2024
 
  » arxiv » math-ph/9807015

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A Modified Equation for Neural Conductance and Resonance
M. Robert Showalter ;
Date 14 Jul 1998
Subject Mathematical Physics; Disordered Systems and Neural Networks; Biological Physics | math-ph cond-mat.dis-nn math.MP physics.bio-ph q-bio
AffiliationUniversity of Wisconsin, Madison
AbstractA modified equation, the S-K equation, fits data that the current neural conduction equation, the K-R equation, does not. The S-K equation is a modified Heaviside equation, based on a new interpretation of cross terms. Elements of neural anatomy and function are reviewed to put the S-K equation into context. The fit between S-K and resonance-like neural data is then shown. Appendix 1: Derivation of crossterms that represent combinations of physical laws for a line conductor of finite length. Appendix 2: Evaluation of crossterms that represent combinations of physical laws according to consistency arguments. Appendix 3: Some background on resonance. Appendix 4: Web access to some brain modeling, correspondence with NATURE, and discussion of the work in George Johnson’s New York Times forums.
Source arXiv, math-ph/9807015
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