Video_1_Data-Driven Modeling and Prediction of Complex Spatio-Temporal Dynamics in Excitable Media.MP4 (27.92 MB)
Video_1_Data-Driven Modeling and Prediction of Complex Spatio-Temporal Dynamics in Excitable Media.MP4
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posted on 2018-12-18, 15:16 authored by Sebastian Herzog, Florentin Wörgötter, Ulrich ParlitzSpatio-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.
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- Mathematical Physics not elsewhere classified
- Ordinary Differential Equations, Difference Equations and Dynamical Systems
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- Optimisation
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