For a spatially distributed model describing the transient temperature response of a thermistor-tissue system, Wei et al., [J. Biomech. Eng., 117:74–85, 1995] obtained an approximate transformation for fast analysis of the temperature response at the tissue surface. This approximate transformation reduces the model to a single ordinary differential equation. Here, we present an exact transformation that yields a single differential-integral equation. Numerical solutions from the approximate and exact transformations were compared to evaluate the differences with several sets of parameter values. The maximum difference between the exact and approximate solutions did not exceed 15 percent and occurred for only a short time interval. The root-mean-square error of the approximate solution was no more than 5 percent and within the level of experimental noise. Under the experimental conditions used by Wei et al., the approximate transformation is justified for estimating model parameters from transient thermal responses.
Model Transformations to Evaluate Transient Thermal Responses at a Tissue Surface
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received by the Bioengineering Division August 24, 2000; revised manuscript received February 27, 2001. Associate Editor: J. J. McGrath.
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Saidel and , G. M., and Liu , E. H. (February 27, 2001). "Model Transformations to Evaluate Transient Thermal Responses at a Tissue Surface ." ASME. J Biomech Eng. August 2001; 123(4): 370–372. https://doi.org/10.1115/1.1385844
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