The activating function for magnetic stimulation derived from a three-dimensional volume conductor model

Author

Basser, Peter J. ; Wijesinghe, Ranjith S. ; Roth, Bradley J.

Author_Institution

Biomed. Eng. & Instrum., Nat. Inst. of Health, Bethesda, MD, USA

Volume

39

Issue

11

fYear

1992

Firstpage

1207

Lastpage

1210

Abstract

A three-dimensional volume conductor model of magnetic stimulation is proposed that relates transmembrane potential of an axon to the induced electric field in a uniform volume conductor. This model validates assumptions used previously to derive a one-dimensional cable model of magnetic stimulation (B.J. Roth and P.J. Basser, ibid., vol.37, p.588-97, 1990) of unmyelinated axons. The three-dimensional volume conductor model reduces to this one-dimensional cable equation forced by the activating function, - delta E_A^z/ delta _z.

Keywords

bioelectric potentials; biomagnetism; biomembrane transport; neurophysiology; physiological models; activating function; axon; induced electric field; magnetic stimulation; one-dimensional cable equation; three-dimensional volume conductor model; transmembrane potential; Biomembranes; Coils; Conductivity; Conductors; Equations; Extracellular; Magnetic flux; Magnetic stimulation; Nerve fibers; Power cables; Axons; Electromagnetic Fields; Magnetics; Membrane Potentials; Models, Neurological;

fLanguage

English

Journal_Title

Biomedical Engineering, IEEE Transactions on

Publisher

ieee

ISSN

0018-9294

Type

jour

DOI

10.1109/10.168686

Filename

168686