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A solution method for the determination of cardiac potential distributions with an alternating current source


Johnston, BM and Johnston, PR and Kilpatrick, D, A solution method for the determination of cardiac potential distributions with an alternating current source, Computer Methods in Biomechanics and Biomedical Engineering, 11, (3) pp. 223-233. ISSN 1025-5842 (2008) [Refereed Article]

DOI: doi:10.1080/10255840701747594


A recently presented solution method for the bidomain model (Johnston et al. 2006), which involves the application of direct current for studying electrical potential in a slab of cardiac tissue, is extended here to allow the use of an applied alternating current. The advantage of using AC current, in a four-electrode method for determining cardiac conductivities, is that instead of using 'close' and 'wide' electrode spacings to make potential measurements, increasing the frequency of the AC current redirects a fraction of the current from the extracellular space into the intracellular space. The model is based on the work of Le Guyader et al. (2001), but is able to include the effects of the fibre rotation between the epicardium and the endocardium on the potentials. Also, rather than using a full numerical technique, the solution method uses Fourier series and a simple one dimensional finite difference scheme, which has the advantage of allowing the potentials to be calculated only at points, such as the measuring electrodes, where they are required. The new alternating current model, which includes intracellular capacitance, is used with a particular four-electrode configuration, to show that the potential measured is affected by changes in fibre rotation. This is significant because it indicates that it is necessary to include fibre rotation in models, which are to be used in conjunction with measuring arrays that are more complex than those involving simply surface probes or a single vertical probe

Item Details

Item Type:Refereed Article
Keywords:bimodian model, frequency, anisotropy, fibre rotation, simulation, conductivity values
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Biological mathematics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Kilpatrick, D (Professor David Kilpatrick)
ID Code:52929
Year Published:2008
Web of Science® Times Cited:2
Deposited By:Medicine
Deposited On:2008-10-13
Last Modified:2015-01-27

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