Thermal ablation modeling via the bioheat equation and its numerical treatment

• Autorzy: Agnieszka Bartłomiejczyk , Henryk Leszczyński , Artur Poliński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 65N06: Finite difference methods
• 92C50: Medical applications (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 1
• Strony: 1-12

Daty

wydano

2015

Twórcy

autor

Agnieszka Bartłomiejczyk

• Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland

autor

Henryk Leszczyński

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Artur Poliński

• Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland

Identyfikatory

DOI

10.4064/am42-1-1