A theoretical analysis of extracellular punctate stimulation around dendrites

Ian Hentall

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The polarization of neuronal trees by external point stimulation is modelled. In one form of model, an almost spheroidal field encloses the dendritic tree. Radially projecting, electrically linear dendrites, along with extracellular medium, are considered to occupy the entire field. The spheroid is modified by a penetrating cone that can surround the stimulating microelectrode; here, and in the rest of the infinite volume outside the field, there is only extracellular medium. A second form of linear electrical model, representing sections of membrane and cytoplasm by means of lumped electrical components commonly known as compartments, is used to validate the field construct. A similar spatial distribution of induced steady-state membrane potential emerges from the two forms of model, for a given morphology and electrophysiology. Compartmental models are also used to demonstrate time-courses of membrane charging. At the soma, if the point source is nearby, charging proves to be essentially complete in less than one time-constant. The soma thresholds under steady-state polarization from different electrode distances are plotted for field models of various electrical space-constant, size and shape of spheroid, and eccentricity of the soma. Characteristic cathodal or anodal thresholds, depending on the particular cell parameters, are revealed for specific electrode trajectories. The range of threshold-distance relations obtained in previously published experiments match those given by the models, when the time-course of charging is taken into account.

Original languageEnglish
Pages (from-to)11-22
Number of pages12
JournalNeuroscience
Volume33
Issue number1
DOIs
StatePublished - Jan 1 1989
Externally publishedYes

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Carisoprodol
Dendrites
Electrodes
Membranes
Electrophysiology
Microelectrodes
Membrane Potentials
Linear Models
Cytoplasm

ASJC Scopus subject areas

  • Neuroscience(all)

Cite this

A theoretical analysis of extracellular punctate stimulation around dendrites. / Hentall, Ian.

In: Neuroscience, Vol. 33, No. 1, 01.01.1989, p. 11-22.

Research output: Contribution to journalArticle

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