# Deep-learning-assisted detection and termination of spiral- and broken-spiral waves in mathematical models for cardiac tissue

## TL;DR

This paper introduces a deep learning approach using CNNs to detect and eliminate spiral waves in cardiac tissue models, potentially informing low-amplitude defibrillation strategies for arrhythmia treatment.

## Contribution

It develops a CNN-based method for detecting and controlling spiral waves in PDE models of cardiac tissue, advancing arrhythmia intervention techniques.

## Key findings

- CNN accurately detects spiral wave cores in simulated data
- Low-amplitude control pulses effectively eliminate spiral waves
- Method demonstrates potential for low-energy defibrillation approaches

## Abstract

Unbroken and broken spiral waves, in partial-differential-equation (PDE) models for cardiac tissue, are the mathematical analogs of life-threatening cardiac arrhythmias, namely, ventricular tachycardia (VT) and ventricular-fibrillation (VF). We develop a (a) deep-learning method for the detection of unbroken and broken spiral waves and (b) the elimination of such waves, e.g., by the application of low-amplitude control currents in the cardiac-tissue context. Our method is based on a convolutional neural network (CNN) that we train to distinguish between patterns with spiral waves S and without spiral waves NS. We obtain these patterns by carrying out extensive direct numerical simulations (DNS) of PDE models for cardiac tissue in which the transmembrane potential V, when portrayed via pseudocolor plots, displays patterns of electrical activation of types S and NS. We then utilize our trained CNN to obtain, for a given pseudocolor image of V, a heat map that has high intensity in the regions where this image shows the cores of spiral waves. Given this heat map, we show how to apply low-amplitude Gaussian current pulses to eliminate spiral waves efficiently. Our in silico results are of direct relevance to the detection and elimination of these arrhythmias because our elimination of unbroken or broken spiral waves is the mathematical analog of low-amplitude defibrillation.