Mathematical model of vascular and intracellular freezing in biological tissue

John C. Bischof; Boris Rubinsky

Mathematical model of vascular and intracellular freezing in biological tissue

John C. Bischof, Boris Rubinsky

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

A set of heat and mass transfer equations is developed to predict vascular as well as intracellular ice formation during freezing in biological tissue. A modified Krogh unit with vascular and cellular compartments is used. In the model, intracellular ice formation is predicted by a probability integral with functional dependence on cell-compartment volume, temperature, and time. Finite-difference computer simulations qualitatively predict the amount and location of vascular and intracellular ice, the temperature distribution in the tissue, and the position of the partial and total freezing interfaces at any time.

Original language	English (US)
Title of host publication	Advaces in Biological Heat and Mass Transfer - 1992
Publisher	Publ by ASME
Pages	17-25
Number of pages	9
ISBN (Print)	0791811115
State	Published - Dec 1 1992
Event	Winter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA Duration: Nov 8 1992 → Nov 13 1992

Publication series

Name	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	231
ISSN (Print)	0272-5673

Other

Other	Winter Annual Meeting of the American Society of Mechanical Engineers
City	Anaheim, CA, USA
Period	11/8/92 → 11/13/92

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Mathematical model of vascular and intracellular freezing in biological tissue. / Bischof, John C.; Rubinsky, Boris.
Advaces in Biological Heat and Mass Transfer - 1992. Publ by ASME, 1992. p. 17-25 (American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD; Vol. 231).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Bischof, JC & Rubinsky, B 1992, Mathematical model of vascular and intracellular freezing in biological tissue. in Advaces in Biological Heat and Mass Transfer - 1992. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, vol. 231, Publ by ASME, pp. 17-25, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.

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AB - A set of heat and mass transfer equations is developed to predict vascular as well as intracellular ice formation during freezing in biological tissue. A modified Krogh unit with vascular and cellular compartments is used. In the model, intracellular ice formation is predicted by a probability integral with functional dependence on cell-compartment volume, temperature, and time. Finite-difference computer simulations qualitatively predict the amount and location of vascular and intracellular ice, the temperature distribution in the tissue, and the position of the partial and total freezing interfaces at any time.

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ER -

Mathematical model of vascular and intracellular freezing in biological tissue

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