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Theoretical analysis of thermal processes in living biological tissue under local hyperthermia. II. Analysis of temperature fields in local SHF hyperthermia with regard for nonstationary nonlinear tissue perfusion

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Abstract

A theoretical model of the kinetics of perfusion based on temperature-time superposition is suggested.

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Abbreviations

T :

temperature, °C

τ:

time

r :

distance up to the axis

λ:

thermal conductivity

Q m :

metabolism heat

ρ,c :

density and specific heat of the tissue

ρ b ,c b :

density and specific heat of blood

W :

perfusion rate

W 0 :

perfusion rate at normal temperature

References

  1. Z. P. Shul'man, B. M. Khusid, and I. V. Fain, Inzh.-Fiz. Zh.,68, No. 1, 75–85 (1995).

    Google Scholar 

  2. J. W. Strohbehn and R. B. Roemer, IEEE Trans.,BME-31, 136–149 (1984).

    Google Scholar 

  3. Yu. S. Kudryavtsev and A. V. Kolmykov, Med. Radiolog., No. 2, 3–9 (1990).

    Google Scholar 

  4. R. J. Dickinson, IEEE Trans.,BME-31, 120–125 (1984).

    Google Scholar 

  5. M. Ettenberg, RCA Review,46, 510–527 (1985).

    Google Scholar 

  6. C. L. Hwang and S. A. Konz, IEEE Trans.,BME-24, 309–325 (1977).

    Google Scholar 

  7. J. A. J. Stolwijk, Ann. N. Y. Acad. Sci.,335, 98–106 (1980).

    Google Scholar 

  8. R. J. Spiegel and M. B. Fatmi, Int. J. Radiat. Oncol. Biol. Phys.,12,D, 983–992 (1986).

    Google Scholar 

  9. J. R. Detry, G. L. Brengelmann, L. B. Rowell, and C. Wyss, J. Appl. Physiol.,32, 506–511 (1972).

    Google Scholar 

  10. A. J. Milligan, P. B. Conran, M. A. Ropar, et al., Int. J. Radiat. Oncol. Biol. Phys.,9, 1335–1343 (1983).

    Google Scholar 

  11. R. B. Roemer, J. R. Oleson, and T. C. Cetas, Am. J. Physiol.,249 (18), R153-R158 (1985).

    Google Scholar 

  12. C. W. Song, A. Lokshina, J. C. Ree, et al., IEEE Trans.,BME-31, 9–16 (1984).

    Google Scholar 

  13. C. W. Song, L. M. Chelstrom, and D. J. Haumschild, Int. J. Radiat. Oncol. Biol. Phys.,18, 903–907 (1990).

    Google Scholar 

  14. A. S. Kravchuk, V. P. Maiboroda, and Yu. S. Urzgumtsev, The Mechanics of Polymer Composites: Experiment and Numerical Methods [in Russian], Moscow (1985).

  15. J. D. Ferry, Viscoelastic Properties of Polymers, N. Y. (1980).

  16. A. E. Berg-Blok and H. S. Reinold, Int. J. Radiat. Oncol. Biol. Phys.,10, 737–740 (1984).

    Google Scholar 

  17. M. J. Borrelly, M. S. Thompson, C. A. Cain, and W. C. Dewey, Int. J. Radiat. Oncol. Biol. Phys.,19, 389–399 (1990).

    Google Scholar 

  18. C. W. Song, M. S. Kang, J. G. Rhee, and S. H. Levitt, Ann. N. Y. Acad. Sci.,335, 35–47 (1980).

    Google Scholar 

  19. A. M. Guy, J. F. Lehmann, and J. B. Stonebrige, Proc. IEEE,62, 55–75 (1974).

    Google Scholar 

  20. C. C. Jonson and A. W. Guy, Proc. IEEE,60, 49–82 (1972).

    Google Scholar 

  21. A. F. Emery and M. Sekins, Int. J. Heat Mass Transfer,25, 823–834 (1982).

    Google Scholar 

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Academic Scientific Complex “A. V. Luikov Heat and Mass Transfer Institute, Academy of Sciences of Belarus,” Minsk, Belarus. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 3, pp. 430–437, May–June, 1995.

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Shul'man, Z.P., Khusid, B.M. & Fain, I.V. Theoretical analysis of thermal processes in living biological tissue under local hyperthermia. II. Analysis of temperature fields in local SHF hyperthermia with regard for nonstationary nonlinear tissue perfusion. J Eng Phys Thermophys 68, 367–373 (1995). https://doi.org/10.1007/BF00859050

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  • DOI: https://doi.org/10.1007/BF00859050

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