Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Tissue temperature simulation in cryosurgery


A method is described for simulating tissue temperature in cryosurgery by numerical solution of a heat-conduction problem with a mobile phase interface. The results are compared with experiment.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    Rubinsky and Schitzer, “Stefan's problem for a tissue around a cryosurgery probe,” Teploperedacha, No. 3 (1976).

  2. 2.

    Comini and Del Giudice, “Thermal aspects of cryosurgery,” Teploperedacha, No. 4 (1976).

  3. 3.

    É. I. Kandel' (editor), Cryosurgery [in Russian], Meditsina, Moscow (1974).

  4. 4.

    H. H. Pennes, “Analysis of tissue and arterial blood temperature in the resting human forearm,” J. Appl. Physiol.,1, No. 2 (1948).

  5. 5.

    H. W. Rothenberg, “Cutaneous circulation in rabbits and humans before, during and after cryosurgical procedures measured by xenon-133 clearance,” Cryobiology,6, No. 6 (1970).

  6. 6.

    H. A. Walder, “Experimental cryosurgery,” in: Cryogenics in Surgery, Medical Examination Publ. Co. Inc. (1971).

  7. 7.

    T. E. Cooper and G. J. Trezek, “Analytical prediction of the temperature field emanating from a cryogenic cannula,” Cryobiology,7, No. 2, 3 (1970).

  8. 8.

    H. L. Rosomoff and D. A. Holaday, “Cerebral blood and cerebral oxygen consumption during hypothermia,” Am. J. Physiol.,179, p. 85 (1954).

  9. 9.

    A. P. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

  10. 10.

    Yu. P. Filippov and M. Yu. Boyarskii, “A method of determining the characteristics of local cryosurgery,” Tr. Mosk. Energet. Inst., Low-Temperature Processes and Cryogenic Systems [in Russian], Issue 347 (1977), p. 15.

  11. 11.

    T. E. Cooper and G. J. Trezek, “Rate of lesion growth around spherical and cylindrical cryoprobes,” Cryobiology,7, No. 7 (1971).

  12. 12.

    G. A. Martynov, “Heat propagation in a two-phase medium with a given law of motion for the phase interface,” Zh. Tekh. Fiz.,25, No. 10 (1955).

  13. 13.

    M. P. Malkov (editor), Handbook on the Technical-Physics Principles of Cryogeny [in Russian], Énergiya, Moscow (1973).

Download references

Author information

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 36, No. 6, pp. 1100–1107, June, 1979.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Filippov, Y.P., Vasil'kov, A.P. Tissue temperature simulation in cryosurgery. Journal of Engineering Physics 36, 725–730 (1979).

Download citation


  • Statistical Physic
  • Mobile Phase
  • Phase Interface
  • Temperature Simulation
  • Tissue Temperature