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Two boundary model for freezing front propagation in biological tissue

1998/08/24 by V. V. Gafiychuk, Vasyl Gafiychuk, Ihor Lubashevsky +4
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Elasticity and Material Modeling #FOS: Biological sciences #FOS: Physical sciences #Mathematical Biology Tumor Growth #Medical Physics (physics.med-ph) #Pattern Formation and Solitons (nlin.PS) #Quantitative Biology (q-bio) #Thermoelastic and Magnetoelastic Phenomena #nlin.PS #patt-sol #physics.bio-ph #physics.med-ph #q-bio

paper · pdf · doi:10.48550/arxiv.patt-sol/9808009

arxiv created 1998/08/24 · openalex publication_date 1998/08/24 · arxiv updated 2019/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The response of the living tissue to the effects of strong heating or cooling can cause the blood flow rate to vary by an order of magnitude. A mathematical model for the freezing of living tissue is formulated which takes into account the nonlocal temperature dependence of the blood flow rate when the temperature distribution in the tissue is substantially nonuniform, as in cryosurgery.

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