Skip to main content
SpringerLink
Log in

Numerical study on freezing-thawing phase change heat transfer in biological tissue embedded with two cryoprobes

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

A two-dimensional model for freezing and thawing phase change heat transfer in biological tissue embedded with two cryoprobes was established. In this model, the blood vessels were considered as tree-like branched fractal network, and the effective flow rate and effective thermal conductivity of blood were obtained by fractal method. The temperature distribution and ice crystal growth process in biological tissue embedded with two cryoprobes during freezing-thawing process were numerically simulated. The results show that the growth velocity of ice crystal in freezing process from 200 to 400 s is more rapid than that from 400 to 600 s. Thawing process of frozen tissue occurs in the regions around cryoprobes tips and tissue boundary simultaneously, and the phase interfaces are close to each other until ice crystal melts completely. The distance of two cryoprobes has a more profound effect on the temperature distribution in freezing process at 400 s than at 800 s.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ZHANG A L, XU L X, SANDISON G A, ZHANG J Y. A microscale model for prediction of breast cancer cell damage during cryosurgery [J]. Cryobiology, 2003, 47(2): 143–154.

    Article  Google Scholar 

  2. GAGE A A, BAUST J. REVIEW-mechanisms of tissue injury in cryosurgery [J]. Cryobiology, 1998, 37(3): 171–186.

    Article  Google Scholar 

  3. DENG Zhong-shan, LIU Jing. Numerical simulation of selective freezing of target biological tissues following injection of solutions with specific thermal properties [J]. Cryobiology, 2005, 50(2): 183–192.

    Article  Google Scholar 

  4. HOFFMANN N E, BISCHOF J C. Cryosurgery of normal and tumor tissue in the dorsal skin flap chamber: Part 1—Thermal response [J]. Journal of Biomechanical Engineering, 2001, 123(4): 301–309.

    Article  Google Scholar 

  5. SHI Juan, CHEN Zhen-qian, SHI Ming-heng, CHEN Yu. Numerical simulation on freezing and thawing phase change heat transfer process in tumor [J]. Journal of Engineering Thermophysics, 2008, 29(6): 1017–1020.(in Chinese)

    Google Scholar 

  6. MAGALOV Z, SHITZER A, DEGANI D. Isothermal volume contours generated in a freezing gel by embedded cryo-needles with applications to cryo-surgery [J]. Cryobiology, 2007, 55(2): 127–137.

    Article  Google Scholar 

  7. REWCASTLE J C, SANDISON G A, MULDREW K, SALIKEN J C, DONNELLY B J. A model for the time dependent three-dimensional thermal distribution within iceballs surrounding multiple cryoprobes [J]. Med Phys, 2001, 28(6): 1125–1137.

    Article  Google Scholar 

  8. PENNES H H. Analysis of tissue and arterial temperatures in the resting human forearm [J]. J Appl Physiol, 1948, 1(2): 93–122.

    Article  Google Scholar 

  9. DENG Zhong-shan, LIU Jing, WANG Hong-wu. Disclosure of the significant thermal effects of large blood vessels during cryosurgery through infrared temperature mapping [J]. International Journal of Thermal Sciences, 2008, 47(5): 530–545.

    Article  Google Scholar 

  10. CONG Wen-ming. A color atlas of pathology of hepatobiliary tumors [M]. Shanghai: Shanghai Science and Technology Press, 1998: 71. (in Chinese)

    Google Scholar 

  11. ZAMIR M. On fractal properties of arterial trees [J]. Journal of Theoretical Biology, 1999, 197(4): 517–526.

    Article  Google Scholar 

  12. XU Peng, YU Bo-ming, YUN Mei-juan, ZOU Ming-qing. Heat conduction in fractal tree-like branched networks [J]. International Journal of Heat and Mass Transfer, 2006, 49(19/20): 3746–3751.

    Article  Google Scholar 

  13. MANDELBROT B B. The fractal geometry of nature [M]. New York: W.H. Freeman and Company, 1982: 37.

    Google Scholar 

  14. GUO Kuang-liang, KONG Xiang-qian, CHEN Shan-nian. Computational heat transfer [M]. Hefei: University of Science and Technology of China Press, 1988: 68. (in Chinese)

    Google Scholar 

  15. CHUA K J, CHOU S K, HO J C. An analytical study on the thermal effects of cryosurgery on selective cell destruction [J]. Journal of Biomechanics, 2007, 40(1): 100–116.

    Article  Google Scholar 

  16. LIU Jing, WANG Cun-cheng. Biologic heat transfer [M]. Beijing: Science Press, 1997: 418–420. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Energy and Environment, Southeast University, Nanjing, 210096, China

    Fang Zhao  (赵 芳), Zhen-qian Chen  (陈振乾) & Ming-heng Shi  (施明恒)

Authors
  1. Fang Zhao  (赵 芳)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhen-qian Chen  (陈振乾)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ming-heng Shi  (施明恒)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhen-qian Chen  (陈振乾).

Additional information

Foundation item: Project(50436030) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, F., Chen, Zq. & Shi, Mh. Numerical study on freezing-thawing phase change heat transfer in biological tissue embedded with two cryoprobes. J. Cent. South Univ. Technol. 16, 326–331 (2009). https://doi.org/10.1007/s11771-009-0055-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-009-0055-x

Key words

Search

Navigation