Cardiac ablation is a key procedure for treating arrhythmias, one of the leading causes of death worldwide. While radiofrequency ablation (RFA), based on thermal injury, has long been the clinical standard, pulsed field ablation (PFA) has recently emerged as a promising non-thermal alternative. PFA relies on irreversible electroporation, a microscopic phenomenon in which strong electric fields...
Remote monitoring of heart failure patients using intravascular implants may enable early detection of disease worsening and reduce hospitalizations \cite{Mohebali_Kittleson_2021}. Within the FORESEE project, a multiparametric pulmonary artery sensor is being developed for wireless powering and communication through volume conduction...
Pulsed field ablation (PFA) – an electroporation-based ablation - is being rapidly adopted as a safer and more efficient alternative to conventional thermal ablation methods for the treatment of cardiac arrhythmias, particularly atrial fibrillation. Although electroporation is a phenomenon occurring on the cell membrane level, its effects require modeling on several levels. The basic...
Cardiac pulsed field ablation (PFA) is an emerging non-thermal ablation modality that employs high-intensity, short-duration electric pulses to induce irreversible electroporation in cardiac cells. In contrast to conventional thermal techniques, PFA selectively disrupts cell membranes while largely preserving the extracellular matrix and surrounding critical structures, thereby reducing...
Invasion, one of the hallmarks of cancer, is a complex process involving numerous interactions between cancer cells and the extracellular matrix, facilitated by matrix degrading enzymes (MDEs). It was demonstrated experimentally that there are two important types of MDEs, membrane-bound and diffusible metalloproteinases, involved in cancer invasion. To analyse the impact of those two types of...
In this work, we study the homogenization of the phenomenological electropermeabilization model introduced by Kavian et al (2014) in a periodic tissue subject to an applied electric field. We introduce a small parameter epsilon and derive the most relevant scaling of the equations in epsilon through dimension analysis. Asymptotic expansions yield a macroscopic model, where we are able to...
We derive a tissue-scale model of electroporation through periodic asymptotic analysis, based on a cell-scale model introduced by Leguèbe et al. (2014). In the cell-scale model, electroporation is described by coupling the transmembrane voltage to phenomenological variables representing the degree of membrane poration and oxidative effects in the lipid bilayer. An important biological feature...
Multiscale modeling has become an essential tool for understanding complex biological systems, where processes at the cellular or subcellular level influence tissue- and organ-scale behavior. This minisymposium brings together researchers working on mathematical, computational, and biophysical approaches to bridge scales in bioelectric phenomena. Topics of interest include homogenization...
