19 citations · 82 across the 15 of their papers we have counts for
16 papers
An eikonal model with re-excitability for fast simulations in cardiac electrophysiology
Lia Gander, Rolf Krause, Francisco Sahli Costabal +1
Precision cardiology based on cardiac digital twins requires accurate simulations of cardiac arrhythmias. However, detailed models, such as the monodomain model, are computationall…
High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology
Giacomo Rosilho de Souza, Simone Pezzuto, Rolf Krause
Simulation of the monodomain equation, crucial for modeling the heart's electrical activity, faces scalability limits when traditional numerical methods only parallelize in space.…
Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
Giacomo Rosilho de Souza, Marcus J. Grote, Simone Pezzuto +1
Fully explicit stabilized multirate (mRKC) methods are well-suited for the numerical solution of large multiscale systems of stiff ordinary differential equations thanks to their i…
Shape of my heart: Cardiac models through learned signed distance functions
Jan Verhülsdonk, Thomas Grandits, Francisco Sahli Costabal +6
The efficient construction of anatomical models is one of the major challenges of patient-specific in-silico models of the human heart. Current methods frequently rely on linear st…
Digital twinning of cardiac electrophysiology models from the surface ECG: a geodesic backpropagation approach
Thomas Grandits, Jan Verhülsdonk, Gundolf Haase +2
The eikonal equation has become an indispensable tool for modeling cardiac electrical activation accurately and efficiently. In principle, by matching clinically recorded and eikon…
Boundary Integral Formulation of the Cell-by-Cell Model of Cardiac Electrophysiology
Giacomo Rosilho de Souza, Rolf Krause, Simone Pezzuto
We propose a boundary element method for the accurate solution of the cell-by-cell bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular-Membrane-I…