Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model

Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model

This paper considers hyperbolic heat conduction model for biological tissue freezing during cryosurgery with non ideal property of tissue, metabolism and blood perfusion. Mathematical model is solved numerically using finite difference method to obtain temperature distribution and phase change inte...

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Bibliographic Details
Main Authors: Sonalika Singh, Sushil Kumar
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-07-01
Series:Mathematical Modelling and Analysis
Subjects:
heat conduction
finite difference method
heat conduction equation
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1012
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spelling doaj-f6fc2e37d2b045c59f52ba85246927452021-07-02T14:38:34ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-07-0120410.3846/13926292.2015.1064486Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction ModelSonalika Singh0Sushil Kumar1Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat-395007, IndiaDepartment of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat-395007, India This paper considers hyperbolic heat conduction model for biological tissue freezing during cryosurgery with non ideal property of tissue, metabolism and blood perfusion. Mathematical model is solved numerically using finite difference method to obtain temperature distribution and phase change interfaces in tissue during freezing. The effects of phase lag of heat flux in hyperbolic bio-heat model on freezing process are studied. Comparative study of parabolic and hyperbolic bio-heat models is also made here. https://journals.vgtu.lt/index.php/MMA/article/view/1012heat conductionfinite difference methodheat conduction equation
collection DOAJ
language English
format Article
sources DOAJ
author Sonalika Singh
Sushil Kumar
spellingShingle Sonalika Singh
Sushil Kumar
Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
Mathematical Modelling and Analysis
heat conduction
finite difference method
heat conduction equation
author_facet Sonalika Singh
Sushil Kumar
author_sort Sonalika Singh
title Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
title_short Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
title_full Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
title_fullStr Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
title_full_unstemmed Freezing of Biological Tissues During Cryosurgery Using Hyperbolic Heat Conduction Model
title_sort freezing of biological tissues during cryosurgery using hyperbolic heat conduction model
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2015-07-01
description This paper considers hyperbolic heat conduction model for biological tissue freezing during cryosurgery with non ideal property of tissue, metabolism and blood perfusion. Mathematical model is solved numerically using finite difference method to obtain temperature distribution and phase change interfaces in tissue during freezing. The effects of phase lag of heat flux in hyperbolic bio-heat model on freezing process are studied. Comparative study of parabolic and hyperbolic bio-heat models is also made here.
topic heat conduction
finite difference method
heat conduction equation
url https://journals.vgtu.lt/index.php/MMA/article/view/1012
work_keys_str_mv AT sonalikasingh freezingofbiologicaltissuesduringcryosurgeryusinghyperbolicheatconductionmodel
AT sushilkumar freezingofbiologicaltissuesduringcryosurgeryusinghyperbolicheatconductionmodel
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