Mathematical Analysis of a Two-Dimensional Radiofrequency Ablation Model in Cardiac Tissue with $L^1$ Energy Dissipation

Mostafa Bendahmane; Youssef Ouakrim; Yassine Ouzrour; Mohamed Zagour

Article Details

Mathematical Analysis of a Two-Dimensional Radiofrequency Ablation Model in Cardiac Tissue with $L^1$ Energy Dissipation

Authors:

Mostafa Bendahmane | Youssef Ouakrim | Yassine Ouzrour | Mohamed Zagour

Publisher:

Sidi Mohamed Ben Abdallah University

Journal:

Moroccan Journal of Pure and Applied Analysis Vol.10 Issue 3, pp.285-309

Document Type:

Article

Publication Date:

12/2024

Document Language:

English

Document ID (Org No.):

2001840776

pISSN:

2351-8227

Keywords:

Abstract:

 This paper deals with the existence and regularity of solutions for a nonlinear reaction-diffusion-fluid system that models radiofrequency ablation in cardiac tissue. The primary focus is on establishing the regularity of solutions in a two-dimensional setting, particularly in the presence of energy dissipation terms due to viscosity and electric fields, where these terms belong to the $L^1$ space. We rigorously establish the existence of global solutions for the system by employing the truncation approximation method, Schauder's fixed point theorem, and compactness arguments, under specific assumptions on the data. Finally, we present some numerical simulations to validate the theoretical findings.

Article Details

Mathematical Analysis of a Two-Dimensional Radiofrequency Ablation Model in Cardiac Tissue with $L^1$ Energy Dissipation

Authors:

Mostafa Bendahmane | Youssef Ouakrim | Yassine Ouzrour | Mohamed Zagour

Publisher:

Sidi Mohamed Ben Abdallah University

Journal:

Moroccan Journal of Pure and Applied Analysis Vol.10 Issue 3, pp.285-309

Document Type:

Article

Publication Date:

12/2024

Document Language:

English

Document ID (Org No.):

2001840776

pISSN:

2351-8227

Bio-heat equation

Navier-Stokes equation

Electro-Thermo-Fluid model

Radiofrequency ablation

Truncation method

Issues

Article Details

Mathematical Analysis of a Two-Dimensional Radiofrequency Ablation Model in Cardiac Tissue with $L^1$ Energy Dissipation

Authors: Mostafa Bendahmane | Youssef Ouakrim | Yassine Ouzrour | Mohamed Zagour

Publisher: Sidi Mohamed Ben Abdallah University

Journal: Moroccan Journal of Pure and Applied Analysis Vol.10 Issue 3, pp.285-309

Document Type: Article

Publication Date: 12/2024

Document Language: English

Document ID (Org No.): 2001840776

pISSN: 2351-8227

Bio-heat equation

Navier-Stokes equation

Electro-Thermo-Fluid model

Radiofrequency ablation

Truncation method

Issues

Authors:

Mostafa Bendahmane | Youssef Ouakrim | Yassine Ouzrour | Mohamed Zagour

Publisher:

Sidi Mohamed Ben Abdallah University

Journal:

Moroccan Journal of Pure and Applied Analysis Vol.10 Issue 3, pp.285-309

Document Type:

Article

Publication Date:

12/2024

Document Language:

English

Document ID (Org No.):

2001840776

pISSN:

2351-8227