A Modified Equation for Neural Conductance and Resonance

TL;DR

This paper introduces the S-K equation, a modified neural conduction model that better fits resonance-like neural data than the traditional K-R equation, supported by theoretical derivations and contextual analysis.

Contribution

The paper presents the S-K equation as a novel modification to existing neural conduction models, incorporating new cross-term interpretations for improved data fitting.

Findings

S-K equation fits resonance-like neural data better than K-R equation

Theoretical derivation of cross-terms based on physical laws

Contextual review of neural anatomy and function

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.