Journal ArticleDOI
A New Simplified Bioheat Equation for the Effect of Blood Flow on Local Average Tissue Temperature
Sheldon Weinbaum,Latif M. Jiji +1 more
TLDR
A new simplified three-dimensional bioheat equation is derived to describe the effect of blood flow on blood-tissue heat transfer and shows that the vascularization of tissue causes it to behave as an anisotropic heat transfer medium.Abstract:
A new simplified three-dimensional bioheat equation is derived to describe the effect of blood flow on blood-tissue heat transfer. In two recent theoretical and experimental studies [1, 2] the authors have demonstrated that the so-called isotropic blood perfusion term in the existing bioheat equation is negligible because of the microvascular organization, and that the primary mechanism for blood-tissue energy exchange is incomplete countercurrent exchange in the thermally significant microvessels. The new theory to describe this basic mechanism shows that the vascularization of tissue causes it to behave as an anisotropic heat transfer medium. A remarkably simple expression is derived for the tensor conductivity of the tissue as a function of the local vascular geometry and flow velocity in the thermally significant countercurrent vessels. It is also shown that directed as opposed to isotropic blood perfusion between the countercurrent vessels can have a significant influence on heat transfer in regions where the countercurrent vessels are under 70-micron diameter. The new bioheat equation also describes this mechanism.read more
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Magnetic Nanoparticle Hyperthermia in Cancer Treatment: History, Mechanism, Imaging‐Assisted Protocol Design, and Challenges
Alexander LeBrun,Liang Zhu +1 more
Journal ArticleDOI
A 3D finite element model for hyperthermia injury of blood-perfused skin
TL;DR: A 3D multi-layer finite element model of the skin coupled with a model presenting hyperthermic damage that simulates the propagation of a burn and suggests treatments to prevent it from spreading is developed.
Journal ArticleDOI
A three layer model for the thermal impedance of the human skin: modeling and experimental measurements
TL;DR: In this paper, a dynamic three layer model for the heat transfer in the human skin is presented, where the model is solved in the Laplace domain using the phasor notation.
Journal ArticleDOI
How does blood regulate cerebral temperatures during hypothermia
Stephen Blowers,Ian Marshall,Michael J. Thrippleton,Peter J. D. Andrews,Bridget Harris,Iain Bethune,Prashant Valluri +6 more
TL;DR: This work presents a bioheat model using a 3D fluid-porous domain coupled with intersecting 1D arterial and venous vessel trees and predicts that a hypothermic average temperature can be reached in core regions of neonatal models using scalp cooling alone.
Journal ArticleDOI
A coupled continuum-discrete bioheat transfer model for vascularized tissue
Zhi-Zhu He,Jing Liu,Jing Liu +2 more
TL;DR: In this paper, a coupled continuum-discrete model denoted by CCD was proposed to characterize the heat transfer process in the vascularized tissue, which consists of 3D temperature equation for solid tissue and 1D equation for blood vessel, which are coupled through the discrete heat-source terms.