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An asymptotic estimate for the effective radius of a concentric bipolar electrode

Citation

Johnston, PR and Kilpatrick, D, An asymptotic estimate for the effective radius of a concentric bipolar electrode, Mathematical Biosciencs, 161, (1-2) pp. 65-82. ISSN 0025-5564 (1999) [Refereed Article]

DOI: doi:10.1016/S0025-5564(99)00036-X

Abstract

A concentric bipolar electrode (CBE) (consisting of a central disc and an outer annulus) has been proposed as an approximate method of measuring the surface Laplacian of the body surface electrical potential distribution. The derivation of the surface Laplacian approximation, in terms of the potential difference measured with the bipolar electrode, contained an unspecified parameter which has been dubbed the 'effective radius' of the concentric bipolar electrode. This paper presents an asymptotic analysis to derive an expression for the effective radius in terms of the physical dimensions of the electrode (the radius of the central disc and inner and outer radii of the annulus). Also studied is the way in which the value of the effective radius affects the behaviour of the relative error in the surface Laplacian measurement at various dipole source locations within a conducting medium.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Mathematical Physics
Research Field:Mathematical Physics not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Johnston, PR (Dr Peter Johnston)
Author:Kilpatrick, D (Professor David Kilpatrick)
ID Code:15910
Year Published:1999
Web of Science® Times Cited:4
Deposited By:Medicine (Discipline)
Deposited On:1999-08-01
Last Modified:2011-08-04
Downloads:0

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