Bounded Multiplicative Dynamics Govern Axonal Conduction Slowdown

Abstract

Conduction velocity slows along axons, yet the terminal-to-initial ratio{rho} = vend/vstart is branch-length invariant and right-skewed. A bounded multiplicative framework is introduced, in which local geometric and kinetic factors compound proportionally, but only within a finite distal domain set by termination conditions that saturate the effective multiplicative depth. The model accounts for the observed stability of the slowdown distribution across lengths and yields discriminating experimental signatures that distinguish between structural load and kinetic reserve depletion.