Thermal ablation modeling via the bioheat equation and its numerical treatment

Agnieszka Bartłomiejczyk; Henryk Leszczyński; Artur Poliński

doi:10.4064/am42-1-1

Thermal ablation modeling via the bioheat equation and its numerical treatment

Abstract

The phenomenon of thermal ablation is described by Pennes’ bioheat equation. This model is based on Newton’s law of cooling. Many approximate methods have been considered because of the importance of this issue. We propose an implicit numerical scheme which has better stability properties than other approaches.

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Authors (3)

Agnieszka Bartłomiejczyk dr
Henryk Leszczyński
- Uniwersytet Gdański Zakład Metod Numerycznych i Równań Różniczkowych
Artur Poliński dr inż.

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DOI:: Digital Object Identifier (open in new tab) 10.4064/am42-1-1
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Keywords

BIOHEAT EQUATION, IMPLICIT NUMERICAL SCHEME

Details

Category:: Articles
Type:: artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:: Applicationes Mathematicae no. 42, edition 1, pages 1 - 12,
ISSN: 1233-7234
Language:: English
Publication year:: 2015
Bibliographic description:: Bartłomiejczyk A., Leszczyński H., Poliński A.: Thermal ablation modeling via the bioheat equation and its numerical treatment// Applicationes Mathematicae. -Vol. 42., iss. 1 (2015), s.1-12
DOI:: Digital Object Identifier (open in new tab) 10.4064/am42-1-1
Verified by:: Gdańsk University of Technology