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Framework for Modular, Flexible and Efficient Solving the Cardiac Bidomain Equations Using PETSc

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Progress in Industrial Mathematics at ECMI 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 15))

Summary

In this work, a new framework is presented that is suitable to solve the cardiac bidomain equation efficiently using the scientific computing library PETSc. Furthermore, the framework is able to modularly combine different ionic channels and is flexible enough to include arbitrary heterogeneities in ionic or coupling channel density. The ability of this framework is demonstrated in an example simulation in which the three-dimensional electrophysiological heterogeneity was adjusted in order to get a positive T-wave in the body electrocardiogram (ECG).

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Correspondence to G. Seemann .

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Seemann, G., Sachse, F.B., Karl, M., Weiss, D.L., Heuveline, V., Dössel, O. (2010). Framework for Modular, Flexible and Efficient Solving the Cardiac Bidomain Equations Using PETSc. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_55

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