AUTHOR=Herzog Sebastian , Wörgötter Florentin , Parlitz Ulrich 

TITLE=Data-Driven Modeling and Prediction of Complex Spatio-Temporal Dynamics in Excitable Media

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=4

YEAR=2018

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2018.00060

DOI=10.3389/fams.2018.00060

ISSN=2297-4687

ABSTRACT=<p>Spatio-temporal chaotic dynamics in a two-dimensional excitable medium is (cross-) estimated using a machine learning method based on a convolutional neural network combined with a conditional random field. The performance of this approach is demonstrated using the four variables of the Bueno-Orovio-Fenton-Cherry model describing electrical excitation waves in cardiac tissue. Using temporal sequences of two-dimensional fields representing the values of one or more of the model variables as input the network successfully cross-estimates all variables and provides excellent forecasts when applied iteratively.</p>