Neuronal cable equations derived from the hydrodynamic motion of charged particles

Abstract

Neuronal cable theory is usually derived from an electric analogue of the membrane, which contrasts with the slow movement of ions in aqueous media. We show here that it is possible to derive neuronal cable equations from a different perspective, based on the laws of hydrodynamic motion of charged particles (Navier-Stokes equations). This results in similar cable equations, but with additional contributions arising from nonlinear interactions inherent to fluid dynamics, and which may shape the integrative properties of the neurons.

References in corpus (4)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Intracellular impedance measurements reveal non-ohmic properties of the extracellular medium around neurons
• Generalized cable theory for neurons in complex and heterogeneous media
• Causality, Non-Locality and Negative Refraction