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Proceedings Paper

Spectral analysis of Pennes' bio-heat equation
Author(s): Luisiana X. Cundin
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Paper Abstract

Contained herein is a spectral analysis of Pennes' Bio-heat equation in three dimensions. Each section focuses upon a necessary step in the total solving of the differential system. Complex analysis was found necessary in resolving the inversion of the inhomogeneous term, yielding an unexpected result, where the solution space apparently is divided into two main curvatures, elliptic and hyperbolic. Each space represents a fundamental difference in heat transfer modality; hyperbolic being a reduction in magnitude, elliptic being a transfer of heat. From differential geometry, elliptic curvature complements hyperbolic spaces and the former is considered to be nested within the later.

Paper Details

Date Published: 20 February 2008
PDF: 23 pages
Proc. SPIE 6854, Optical Interactions with Tissue and Cells XIX, 68540W (20 February 2008); doi: 10.1117/12.772071
Show Author Affiliations
Luisiana X. Cundin, Conceptual MindWorks, Inc./Air Force Research Lab. (United States)


Published in SPIE Proceedings Vol. 6854:
Optical Interactions with Tissue and Cells XIX
Steven L. Jacques; William P. Roach; Robert J. Thomas, Editor(s)

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