Fast FFT-based bioheat transfer equation computation
نویسندگان
چکیده
منابع مشابه
Fast FFT-based bioheat transfer equation computation
This paper describes a modeling method of the tissue temperature evolution over time in hyper or hypothermia. The tissue temperature evolution over time is classically described by Pennes' bioheat transfer equation which is generally solved by a finite difference method. In this paper we will present a method where the bioheat transfer equation can be algebraically solved after a Fourier transf...
متن کاملBioheat Transfer
Bioheat transfer is the study of the transport of thermal energy in living systems. Because biochemical processes are temperature dependent, heat transfer plays a major role in living systems. Also, because the mass transport of blood through tissue causes a consequent thermal energy transfer, bioheat transfer methods are applicable for diagnostic and therapeutic applications involving either m...
متن کاملBioheat Transfer
Heat transfer in living tissues is a complicated process because it involves a combination of thermal conduction in tissues, convection and perfusion of blood, and metabolic heat production. Over the years, several mathematical models have been developed to describe heat transfer within living biological tissues. These models have been widely used in the analysis of hyperthermia in cancer treat...
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A fast, accurate and robust approach is proposed for the computation of the roots of complex polynomials. The method is derived from the DFT-based differential cepstrum estimation for moving average signals. This minimudmaximum-phase polynomial factorisation is easily extended to a factorisation along an arbitrary circle. In an iterative fashion, we estimate the largest root modulus from the di...
متن کاملChaos for the Hyperbolic Bioheat Equation
The Hyperbolic Heat Transfer Equation describes heat processes in which extremely short periods of time or extreme temperature gradients are involved. It is already known that there are solutions of this equation which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces of analytic functions with certain growth control. We show that this chaotic behaviour still appears when ...
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ژورنال
عنوان ژورنال: Computers in Biology and Medicine
سال: 2010
ISSN: 0010-4825
DOI: 10.1016/j.compbiomed.2009.11.008