Noninvasive Method for Simultaneously Measuring the Thermophysical Properties and Blood Perfusion in Cylindrically Shaped Living Tissues

An easy-to-use noninvasive method was developed to simultaneously measure the thermophysical parameters and blood perfusion in cylindrically shaped living tissues. This method is based on a two-dimensional mathematical model which requires temperature measurements at only three separate points along the axial direction on the cylinder surface. A sensitivity analysis has shown that the key thermophysical parameters, such as the thermal conductivity, volumetric heat capacity, and blood perfusion can be estimated simultaneously with high accuracy. Genetic algorithm (GA) selection, crossover, and mutation operators were developed to solve this multi-parameter optimization problem. This three-point method was validated by measuring the properties of a dynamic tissue-equivalent phantom with known thermal parameters. The method has also been applied to measure the thermophysical parameters and blood perfusion in human forearms with measured results agreeing well with the literature values.

[1]  T. C. Fogarty,et al.  Adaptive classification and control-rule optimisation via a learning algorithm for controlling a dynamic system , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[2]  J A Pearce,et al.  A self-heated thermistor technique to measure effective thermal properties from the tissue surface. , 1987, Journal of biomechanical engineering.

[3]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[4]  F. Montecchia,et al.  Microstrip-antenna design for hyperthermia treatment of superficial tumors , 1992, IEEE Transactions on Biomedical Engineering.

[5]  J W Valvano,et al.  An isolated rat liver model for the evaluation of thermal techniques to quantify perfusion. , 1984, Journal of biomechanical engineering.

[6]  G. T. Martin,et al.  Validation of real-time continuous perfusion measurement , 2000, Medical and Biological Engineering and Computing.

[7]  David E. Goldberg,et al.  Search space boundary extension method in real-coded genetic algorithms , 2001, Inf. Sci..

[8]  D E Pegg,et al.  Thermal property measurements on biological materials at subzero temperatures. , 1991, Journal of biomechanical engineering.

[9]  H. F. Bowman,et al.  The simultaneous measurement of thermal conductivity, thermal diffusivity, and perfusion in small volumes of tissue. , 1984, Journal of biomechanical engineering.

[10]  J. Liu,et al.  Parametric studies on the phase shift method to measure the blood perfusion of biological bodies. , 2000, Medical engineering & physics.

[11]  H. H. Pennes Analysis of tissue and arterial blood temperatures in the resting human forearm. 1948. , 1948, Journal of applied physiology.

[12]  Donald B Plewes,et al.  Tissue thermal conductivity by magnetic resonance thermometry and focused ultrasound heating , 2002, Journal of magnetic resonance imaging : JMRI.

[13]  G. T. Martin,et al.  Continuous and real-time blood perfusion monitoring in prefabricated flaps. , 2004, Journal of reconstructive microsurgery.

[14]  Hong Cao,et al.  Measurement of directional thermal properties of biomaterials , 2001, IEEE Transactions on Biomedical Engineering.

[15]  O Søreide,et al.  Validation of estimated 3D temperature maps during hepatic cryo surgery. , 2001, Magnetic resonance imaging.

[16]  Kenneth R. Diller,et al.  Heat Transfer in Living Systems: Current Opportunities , 1998 .

[17]  Frank Kreith,et al.  CRC Handbook of Thermal Engineering , 1999 .

[18]  J. Chato A method for the measurement of the thermal properties of biological materials. , 1968 .

[19]  H. F. Bowman,et al.  Theory, measurement, and application of thermal properties of biomaterials. , 1975, Annual review of biophysics and bioengineering.

[20]  G. Saidel,et al.  Optimal design of a thermistor probe for surface measurement of cerebral blood flow , 1990, IEEE Transactions on Biomedical Engineering.

[21]  E. Wissler,et al.  Pennes' 1948 paper revisited. , 1998, Journal of applied physiology.

[22]  Clifford Goodman,et al.  American Society of Mechanical Engineers , 1988 .

[23]  Kalyanmoy Deb,et al.  An Investigation of Niche and Species Formation in Genetic Function Optimization , 1989, ICGA.

[24]  J. Valvano,et al.  BIOHEAT TRANSFER , 1999 .

[25]  J C Chato,et al.  Heat transfer to blood vessels. , 1980, Journal of biomechanical engineering.

[26]  A technique for measuring the thermal conductivity and evaluating the "apparent conductivity" concept in biomaterials. , 1989, Journal of biomechanical engineering.

[27]  Paul G. Klemens,et al.  Thermal conductivity of solids , 1977 .

[28]  E P Scott,et al.  Development of methodologies for the estimation of blood perfusion using a minimally invasive thermal probe , 1998 .

[29]  Jan A. J. Stolwijk,et al.  A mathematical model of physiological temperature regulation in man , 1971 .

[30]  Kalyanmoy Deb,et al.  On self-adaptive features in real-parameter evolutionary algorithms , 2001, IEEE Trans. Evol. Comput..