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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Journal ArticleDOI
A perfusion technique for tongues to be used in bioheat transfer studies
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Numerical Models of Blood Flow Effects in Biological Tissues
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Multi-Focus Beamforming for Thermal Strain Imaging Using a Single Ultrasound Linear Array Transducer
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Optimization and Identification in Regional Hyperthermia
TL;DR: An overview over current mathematical challenges of delivering individually optimal treatments for regional hyperthermia is provided, with a focus on therapy planning and identication of technical as well as physiological quantities from MR thermometry measurements.
DissertationDOI
Generating and auto-tuning parallel stencil codes
TL;DR: A software framework, Patus, which generates high performance stencil codes for different types of hardware platforms, including current multicore CPU and graphics processing unit architectures and the proposed key ingredients to achieve the goals of productivity, portability, and performance are domain specific languages (DSLs) and the auto-tuning methodology.