Design criteria for implantable, heat-generating devices such as the total artificial heart require the determination of safe thresholds for chronic heating. This involves in-vivo experiments in which tissue temperature distributions are obtained in response to known heat sources. Prior to experimental studies, simulation using a mathematical model can help optimize the design of experiments. In this paper, a theoretical analysis of heat transfer is presented that describes the dynamic, one-dimensional distribution of temperature from a heated surface. Loss of heat by perfusion is represented by temperature-independent and temperature-dependent terms that can reflect changes in local control of blood flow. Model simulations using physiologically appropriate parameter values indicate that the temperature elevation profile caused by a heated surface adjacent to tissue may extend several centimeters into the tissue. Furthermore, sensitivity analysis indicates the conditions under which temperature profiles are sensitive to changes in thermal diffusivity and perfusion parameters. This information provides the basis for estimation of model parameters in different tissues and for prediction of the thermal responses of these tissues.
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February 1997
Technical Papers
Sensitivity Analysis of One-Dimensional Heat Transfer in Tissue With Temperature-Dependent Perfusion
C. R. Davies,
C. R. Davies
Department of Biomedical Engineering, The Cleveland Clinic Foundation, 9500 Euclid Ave., Cleveland, OH 44195
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G. M. Saidel,
G. M. Saidel
Department of Biomedical Engineering, Case Western Reserve University, Cleveland, OH
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H. Harasaki
H. Harasaki
Department of Biomedical Engineering, The Cleveland Clinic Foundation, 9500 Euclid Ave., Cleveland, OH 44195
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C. R. Davies
Department of Biomedical Engineering, The Cleveland Clinic Foundation, 9500 Euclid Ave., Cleveland, OH 44195
G. M. Saidel
Department of Biomedical Engineering, Case Western Reserve University, Cleveland, OH
H. Harasaki
Department of Biomedical Engineering, The Cleveland Clinic Foundation, 9500 Euclid Ave., Cleveland, OH 44195
J Biomech Eng. Feb 1997, 119(1): 77-80 (4 pages)
Published Online: February 1, 1997
Article history
Received:
July 24, 1994
Revised:
February 13, 1996
Online:
October 30, 2007
Citation
Davies, C. R., Saidel, G. M., and Harasaki, H. (February 1, 1997). "Sensitivity Analysis of One-Dimensional Heat Transfer in Tissue With Temperature-Dependent Perfusion." ASME. J Biomech Eng. February 1997; 119(1): 77–80. https://doi.org/10.1115/1.2796068
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