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Related Experiment Videos

A mathematical model for the freezing process in biological tissue.

B Rubinsky1, D E Pegg

  • 1MRC Medical Cryobiology Group, University Department of Surgery, Cambridge, U.K.

Proceedings of the Royal Society of London. Series B, Biological Sciences
|August 23, 1988
PubMed
Summary

A mathematical model simulates organ freezing, revealing ice formation in blood vessels causes mechanical damage, hindering tissue preservation. This finding is crucial for improving cryopreservation techniques.

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Area of Science:

  • Biophysics
  • Cryobiology
  • Mathematical Modeling

Background:

  • Organ freezing is complex, with current preservation methods often failing.
  • Understanding cellular responses to freezing is vital for successful cryopreservation.
  • The Krogh cylinder model provides a framework for studying heat and mass transfer in tissues.

Purpose of the Study:

  • To develop and validate a mathematical model for simulating the freezing process in biological organs.
  • To investigate the mechanisms of cell damage during organ freezing.
  • To identify the primary cause of failure in current tissue cryopreservation techniques.

Main Methods:

  • Developed a mathematical model based on irreversible thermodynamics.
  • Modeled a repetitive unit structure of a Krogh cylinder (tissue cylinder with an axial blood vessel).

Related Experiment Videos

  • Simulated the freezing process in liver tissue and compared with experimental data.

    • Main Results:

    • The mathematical simulation of liver tissue freezing showed strong agreement with experimental data.
    • The model accurately predicted tissue structure and cellular response to cooling rates.
    • Results support the hypothesis that ice formation within the vascular system causes direct mechanical damage.

    Conclusions:

    • The developed mathematical model effectively simulates organ freezing.
    • Direct mechanical damage from ice formation in the vascular system is a key factor limiting successful organ cryopreservation.
    • This research provides insights for improving strategies for preserving organs at low temperatures.