The Ithildin library for efficient numerical solution of anisotropic reaction-diffusion problems in excitable media

Abstract

Ithildin is an open-source library and framework for efficient parallelized simulations of excitable media, written in the C++ programming language. It uses parallelization on multiple CPU processors via the message passing interface (MPI). We demonstrate the librarys versatility through a series of simulations in the context of the mono-domain description of cardiac electrophysiology, including the S1S2 protocol, spiral break-up, and spiral waves in ventricular geometry. Our work demonstrates the power of Ithildin as a tool for studying complex wave patterns in cardiac tissue and its potential to inform future experimental and theoretical studies. We publish our full code with this paper in the name of open science. Author summaryWe present Ithildin, an open-source library for reaction-diffusion systems such as the electrical waves in cardiac tissue controlling the heart beat. We demonstrate the versatility of Ithildin by example simulations in various tissue models and geometries, from simple 2D simulations to detailed ones in ventricular geometry. Our simulations highlight key features of Ithildin, such as recording pseudo-electrograms or filament trajectories. We hope that our work will contribute to the growing understanding of cardiac electrophysiology and inform future experimental and theoretical studies.