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

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Herzog,  Sebastian
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Parlitz,  Ulrich
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Herzog, S., Wörgötter, F., & Parlitz, U. (2018). Data-Driven Modeling and Prediction of Complex Spatio-Temporal Dynamics in Excitable Media. Frontiers in Applied Mathematics and Statistics, 4: 60. doi:10.3389/fams.2018.00060.


Cite as: https://hdl.handle.net/21.11116/0000-000A-54DE-E
Abstract
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.