@inproceedings{d26047d0dab444bfb00d863fc5ad0693,
title = "Numerical modeling of biological tissue freezing process using the dual-phase-lag equation",
abstract = "Heat transfer processes proceeding during the biological tissue freezing are discussed. The problem is described by the Dual-Phase Lag Equation (DPLE) supplemented by the appropriate boundary and initial conditions. The freezing models so far presented based on the well-known Pennes equation, but taking into account the physical properties of tissue the DPLE seems to be the better approximation of thermal processes taking place in the sub-domain of a frozen tissue. The characteristic feature of DPLE is the introduction of two lag times called the relaxation and thermalization times (τq and τT). The cryosurgery treatment using the spherical internal cryoprobe is considered. At the stage of numerical computations the explicit scheme of FDM for nonlinear problems is applied. The example of simulation is also presented.",
author = "B. Mochnacki and E. Majchrzak",
note = "Publisher Copyright: {\textcopyright} 2016 Taylor \& Francis Group, London.; 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015 ; Conference date: 08-09-2015 Through 11-09-2015",
year = "2016",
doi = "10.1201/b20057-89",
language = "English",
isbn = "9781138029064",
series = "Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues - 3rd Polish Congress of Mechanics, PCM 2015 and 21st International Conference on Computer Methods in Mechanics, CMM 2015",
publisher = "CRC Press/Balkema",
pages = "413--418",
editor = "Michal Kleiber and Tadeusz Burczynski and Krzysztof Wilde and Jaroslaw Gorski and Karol Winkelmann and Lukasz Smakosz",
booktitle = "Advances in Mechanics",
}