Sensitivity Analysis of One-Dimensional Heat Transfer in Tissue With Temperature-Dependent Perfusion

[+] Author and Article Information
C. R. Davies, H. Harasaki

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

J Biomech Eng 119(1), 77-80 (Feb 01, 1997) (4 pages) doi:10.1115/1.2796068 History: Received July 24, 1994; Revised February 13, 1996; Online October 30, 2007


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.

Copyright © 1997 by The American Society of Mechanical Engineers
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