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

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.

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 Creators:
Herzog, Sebastian1, Author           
Wörgötter, Florentin, Author
Parlitz, Ulrich1, Author           
Affiliations:
1Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063288              

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 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.

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Language(s): eng - English
 Dates: 2018-12-112018
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.3389/fams.2018.00060
 Degree: -

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Title: Frontiers in Applied Mathematics and Statistics
Source Genre: Journal
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Publ. Info: -
Pages: 10 Volume / Issue: 4 Sequence Number: 60 Start / End Page: - Identifier: ISSN: 2297-4687