Inference of Complete Tissue Temperature Fields from a Few Measured Temperatures: An Unconstrained Optimization Method

IEEE Transactions on Biomedical Engineering

Volumn BME-31, Issue 1, 1984, Pages 150-160

  Divrik, A Murat ^a   Roemer, Robert B ^a,b   Cetas, Thomas C ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING - ALGORITHMS; OPTIMIZATION - APPLICATIONS; TEMPERATURE DISTRIBUTION - MEDICAL APPLICATIONS; TEMPERATURE MEASUREMENT - MEDICAL APPLICATIONS;

HYPERTHERMIA THERAPY; TUMOR THERAPY;

BIOLOGICAL MATERIALS;

ALGORITHM; CANCER THERAPY; COMPUTER ANALYSIS; EXTRAPOLATION; HEAT TRANSFER; HYPERTHERMIA; NONHUMAN; SIMULATION; THEORETICAL STUDY; THERAPY; TISSUE TEMPERATURE;

ANIMAL; DOGS; HYPERTHERMIA, INDUCED; MICROCOMPUTERS; MODELS, BIOLOGICAL; NEOPLASMS; REGIONAL BLOOD FLOW; SUPPORT, U.S. GOV'T, P.H.S.; TEMPERATURE;

EID: 0021285963     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.1984.325381     Document Type: Article

References (24)

1. M. W. Dewhirst, T. Moon, and D. Carlan, “Analysis of tumor volume and thermal dosimetric effects on tumor response to heat, radiation, and heat plus radiation: Results of a phase III randomized clinical trial in pet animals,” in Physical Aspects of Hyperthermia, G. H. Nussbaum, Ed. New York: Amer. Inst. Phys., 1982, pp. 495–510.
2. J. R. Oleson, M. R. Manning, D. A. Sim, R. S. Heusinkveld, S. A. Aristizabal, T. C. Cetas, J. M. Hevezi, and W. G. Connor, “A review of the University of Arizona human clinical hyperthermia experience,” in Frontiers in Radiation Therapy and Oncology, Vol. XVIII, to be published.
3. J. V. Beck, “Nonlinear estimation applied to the nonlinear inverse heat conduction problem,” Int. J. Heat Mass Transfer, vol. 13, pp. 703–716, 1970.
4. M. M. Chen, C. A. Pederson, and J. C. Chato, “On the feasibility of obtaining three–dimensional information from thermographic measurements,” Trans. ASME, J. Biomech. Eng., vol. 99, pp. 58–64, May 1977.
5. P. Pantazatos and M. Chen, “Computer aided tomographic thermography: A numerical simulation,” J. Bioeng., vol. 2, pp. 397-410, 1978.
6. M. M. Chen and P. Pantazatos, “Tomographical thermography,” Ann. N.Y. Acad. Sci., vol. 35, pp. 438–442, 1980.
7. A. M. Kleinman and R. B. Roemer, “A direct substitution, equation error technique for solving the thermographic tomography problem,” Trans. ASME, J. Biomech. Eng., to be published.
8. G. E. Myers, Analytical Methods in Conduction Heat Transfer. New York: McGraw-Hill, 1971.
9. G. A. Bekey, System Identification— An Introduction and a Survey Simulation, Oct. 1970, pp. 151–166.
10. M. Hestenes, “Conjugate direction methods in optimization,” in Applications of Mathematics, vol. 12, A. V. Balakrishnan, Ed. New York: Springer-Verlag, 1980.
11. G. Kantor and T. C. Cetas, “A comparative heating pattern study of direct contact applicators in microwave diathermy,” Radio Sci., vol. 12, pp. 111–120, Nov.-Dec. 1977.
12. T. A. Balasubramaniam and H. F. Bowman, “Thermal conductivity and thermal diffusivity of biomaterials: A simultaneous measurement technique,” J. Biomech. Eng., ASME (K), vol. 99, pp. 148–154, 1977.
13. T. C. Cetas, “Invasive thermometry,” in Physical Aspects of Hyperthermia, (Amer. Ass. Phys. Med. Monograph 8), G. H. Nussbaum, Ed. New York: Amer. Inst. Phys., 1982, pp. 231–265.
14. A. W. Richardson, G. C. Imig, B. L. Feucht, and H. M. Hines, “Relationship between deep tissue temperature and blood flow during electromagnetic irradiation,” Arch. Phys. Med., vol. 31, pp. 19–25, 1950.
15. A. F. Emery and K. M. Sekins, “The use of heat transfer principles in designing optimal diathermy and cancer treatment modalities,” Int. J. Heat Mass Transfer, vol. 25, no. 6, pp. 823–834, 1982.
16. K. M. Sekins, D. D. Dundore, A. F. Emery, J. F. Lehmann, P. W. McGrath, and W. B. Nelp, “Muscle blood flow changes in response to 915 MHz diathermy with surface cooling as measured by Xe133 clearance,” Arch. Phys. Med. Rehab., vol. 61, pp. 105–113, Mar. 1980.
17. A. W. Guy, J. F. Lehmann, and J. B. Stonebridge, “Therapeutic applications of electromagnetic power,” Proc. IEEE, vol. 62, no. 1, pp. 55–75, 1974.
18. A. M. Divrik, “Inference of complete tissue temperature fields from a few measured temperatures,” Dept. Aero, and Mech. Eng., Univ. Arizona, Tucson, AZ, M.S. Project Rep., 1982.
19. C. W. Song, “Blood flow in tumors and normal tissues in hyperthermia,” in Hyperthermia in Cancer Therapy, F. K. Storm, Ed, Boston, MA: G. K. Hall, 1983, pp. 197–206.
20. C. W. Song, A. Lokshina, J. G. Rhee, M. Patten, and S. H. Levitt, “Implication of blood flow in hyperthermic treatment of tumors,” IEEE Trans. Biomed. Eng., this issue, pp. 9–16.
21. S. T. Clegg and R. B. Roemer, “Unconstrained optimization technique for estimating complete tumor temperature distribution in hyperthermia,” in Proc. 1983 ASME Winter Annu. Meet., Boston, MA, Nov. 13–18, 1983.
22. H.H. Pennes, “Analysis of tissue and arterial blood temperatures in the resting human forearm,” J. Appl. Physiol., vol. 1, no. 1, pp. 93–122, 1948.
23. J. W. Hand, J. L. Ledda, and N. T. S. Evans, “Consideration of radiofrequency induction heating for localized hyperthermia,” Phys. Med. Biol., vol. 27, no. 1, pp. 1–16, 1982.
24. A. J. Milligan and B. S. Panjehpour, “Canine hyperthermia and tumor tissue blood flow during fractionated hyperthermia,” submitted for publication.