# Robust Approach for Rotor Mapping in Cardiac Tissue

## TL;DR

This paper presents a robust global topological method for accurately mapping rotor positions in cardiac tissue, even with noisy and sparse data, improving upon traditional local approaches.

## Contribution

The study introduces a global topological approach that outperforms traditional methods in reconstructing rotor positions from noisy and sparse electrophysiological data.

## Key findings

- Handles noise levels exceeding signal range with minimal accuracy loss
- Effective with sparse data sampling comparable to phase singularity separation
- Successfully reconstructs complex spiral wave interactions

## Abstract

The motion of and interaction between phase singularities that anchor spiral waves captures many qualitative and, in some cases, quantitative features of complex dynamics in excitable systems. Being able to accurately reconstruct their position is thus quite important, even if the data are noisy and sparse, as in electrophysiology studies of cardiac arrhythmias, for instance. A recently proposed global topological approach [Marcotte & Grigoriev, Chaos 27, 093936 (2017)] promises to dramatically improve the quality of the reconstruction compared with traditional, local approaches. Indeed, we found that this approach is capable of handling noise levels exceeding the range of the signal with minimal loss of accuracy. Moreover, it also works successfully with data sampled on sparse grids with spacing comparable to the mean separation between the phase singularities for complex patterns featuring multiple interacting spiral waves.