A Modified Equation for Neural Conductance and Resonance
Abstract
A 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.
Cite
@article{arxiv.math-ph/9807015,
title = {A Modified Equation for Neural Conductance and Resonance},
author = {M. Robert Showalter},
journal= {arXiv preprint arXiv:math-ph/9807015},
year = {2009}
}
Comments
main text 23 pages, appendices 24 pages; typos and small amounts of clarifying language added