Dynamics of cardiac electrophysiological depolarization waves (B07)

• Subject Area: Mathematics ; Electronic Semiconductors, Components and Circuits, Integrated Systems, Sensor Technology, Theoretical Electrical Engineering ; Medical Physics, Biomedical Technology
• Term: since 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

Depolarization waves are described by the basic model for the cardiac reaction-diffusion system, where the equation for the electrical potential is coupled with the evolution of ionic concentrations and gating variables. Our goal is to improve the numerical efficiency of the approximation by employing numerical schemes and solvers which are tailored to our particular problem class. We will mathematically characterize and apply a reentrant reaction eikonal scheme for the simulation of chaotic fibrillatory waves, and we will identify model parameters in a patient-specific manner, which paves the way for the clinical adoption of painless overdrive pacing against atrial fibrillation.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Project Heads: Professor Dr. Olaf Dössel, Ph.D., until 6/2019; Professor Dr. Tobias Jahnke, since 7/2023; Privatdozent Dr.-Ing. Axel Loewe, since 7/2019; Professor Dr. Christian Wieners