Spectral analysis of Pennes' bio-heat equation

Luisiana X. Cundin

doi:10.1117/12.772071

20 February 2008 Spectral analysis of Pennes' bio-heat equation

Luisiana X. Cundin

Proceedings Volume 6854, Optical Interactions with Tissue and Cells XIX; 68540W (2008) https://doi.org/10.1117/12.772071
Event: SPIE BiOS, 2008, San Jose, California, United States

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.

Citation Download Citation

Luisiana X. Cundin "Spectral analysis of Pennes' bio-heat equation", Proc. SPIE 6854, Optical Interactions with Tissue and Cells XIX, 68540W (20 February 2008); https://doi.org/10.1117/12.772071

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available