In this study, a new theoretical framework was developed to investigate temperature variations along countercurrent SAV blood vessels from 300 to 1000 μm diameter in skeletal muscle. Vessels of this size lie outside the range of validity of the Weinbaum-Jiji bioheat equation and, heretofore, have been treated using discrete numerical methods. A new tissue cylinder surrounding these vessel pairs is defined based on vascular anatomy, Murray’s law, and the assumption of uniform perfusion. The thermal interaction between the blood vessel pair and surrounding tissue is investigated for two vascular branching patterns, pure branching and pure perfusion. It is shown that temperature variations along these large vessel pairs strongly depend on the branching pattern and the local blood perfusion rate. The arterial supply temperature in different vessel generations was evaluated to estimate the arterial inlet temperature in the modified perfusion source term for the s vessels in Part I of this study. In addition, results from the current research enable one to explore the relative contribution of the SAV vessels and the s vessels to the overall thermal equilibration between blood and tissue.
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February 2002
Technical Papers
A New Fundamental Bioheat Equation for Muscle Tissue—Part II: Temperature of SAV Vessels
Liang Zhu,
Liang Zhu
Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21227
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Lisa X. Xu,
Lisa X. Xu
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
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Qinghong He,
Qinghong He
Department of Mechanical Engineering, University of Maryland Baltimore County, Baltimore, MD 21227
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Sheldon Weinbaum
Sheldon Weinbaum
Department of Mechanical Engineering, City College of The City University of New York, New York, NY 10031
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Liang Zhu
Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21227
Lisa X. Xu
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907
Qinghong He
Department of Mechanical Engineering, University of Maryland Baltimore County, Baltimore, MD 21227
Sheldon Weinbaum
Department of Mechanical Engineering, City College of The City University of New York, New York, NY 10031
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received by the Bioengineering Division Oct. 17, 2000; revised manuscript received Aug. 16, 2001. Associate Editor: J. J. McGrath.
J Biomech Eng. Feb 2002, 124(1): 121-132 (12 pages)
Published Online: August 16, 2001
Article history
Received:
October 17, 2000
Revised:
August 16, 2001
Citation
Zhu, L., Xu, L. X., He, Q., and Weinbaum, S. (August 16, 2001). "A New Fundamental Bioheat Equation for Muscle Tissue—Part II: Temperature of SAV Vessels ." ASME. J Biomech Eng. February 2002; 124(1): 121–132. https://doi.org/10.1115/1.1431263
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