WIT Press


Application Of Fractional Calculus In Modeling And Solving The Bioheat Equation

Price

Free (open access)

Paper DOI

10.2495/DN040211

Volume

73

Pages

10

Published

2004

Size

268 kb

Author(s)

R. Magin, Y. Sagher & S. Boregowda

Abstract

Fractional calculus provides novel mathematical tools for modeling physical and biological processes. The bioheat equation is often used as a first order model of heat transfer in biological systems. In this paper we describe formulation of bioheat transfer in one dimension in terms of fractional order differentiation with respect to time. The solution to the resulting fractional order partial differential equation reflects the interaction of the system with the dynamics of its response to surface or volume heating. An example taken from a study involving pulsating (on-off) cooling of a peripheral tissue region during laser surgery is used to illustrate the utility of the me

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