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Fast simulations of waves in three-dimensional excitable media

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UNSPECIFIED (1997) Fast simulations of waves in three-dimensional excitable media. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 7 (11). pp. 2529-2545.

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Abstract

A fast numerical scheme based on the model of Barkley [Physica 49D (1991), 61] is extended to three space dimensions (3D). The original time-stepping scheme is improved to provide greater accuracy and a Is-point approximation for the Laplacian operator in 3D is shown to have significant advantages over the commonly used 7-point formula. Simulations are coupled to a state-of-the-art surface rendering algorithm such that the combined code allows real-time interactive simulations of 3D waves on a desktop workstation. Results are presented from simulations over a range of spatio-temporal resolutions, from coarse cellular-automaton type simulations to fully resolved simulations of the underlying partial differential equations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science
Journal or Publication Title: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN: 0218-1274
Official Date: November 1997
Dates:
DateEvent
November 1997UNSPECIFIED
Volume: 7
Number: 11
Number of Pages: 17
Page Range: pp. 2529-2545
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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