Search results for: bioheat equation

• Thermal ablation modeling via bioheat equation

  Publication

  • A. Bartłomiejczyk
  • H. Leszczyński
  • A. Poliński

  - Year 2013

  We consider Pennes’ bioheat equation and discuss an implicit numerical scheme which has better stability properties than other approaches. Our discussion concerns Carthesian geometry problems, however it carries over to spherical geometry models and more complicated shapes.

• Thermal ablation modeling via the bioheat equation and its numerical treatment

  Publication

  • A. Bartłomiejczyk
  • H. Leszczyński
  • A. Poliński

  - Applicationes Mathematicae - Year 2015

  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.

  Full text available to download

• Database of the thermal ablation model

  Open Research Data

  open access

  • A. Bartłomiejczyk
  • H. Leszczyński
  • A. Poliński
  • G. Graff

  Thermal ablation is a low invasive technique which eliminates cancerous tissue using high temperature. The presented database was used to show the temperature distribution for t=600[s] in two cases: when the value of the thermal conductivity of tissue k(x;T) is constant and for the variable k(x;T). In addition, using these data we showed the difference...