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Coupling of PDE and ODE Solvers in INMOST Parallel Platform: Application to Electrophysiology

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Part of the Communications in Computer and Information Science book series (CCIS,volume 1129)


Mathematical modeling of cardiac electrophysiology is one of important and widely developing problems in personalized medicine. In this paper we present numerical simulations of electrophysiology in a human heart ventricles using high performance computing. For cardiac electrophysiology equations monodomain model is used. This PDE problem is discretized by P1 finite elements with the first order accurate implicit time scheme. Ionic currents are described by system of ODEs from O’Hara–Rudy model, provided by CellML model repository. The whole problem is solved using the CVODE solver, Ani3D and INMOST platforms. Efficiency in numerical simulations on high performance systems is almost 50% on 192 cores.


  • Cardiac electrophysiology
  • High performance computing
  • O’Hara-Rudy model
  • Monodomain model

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The research was supported by RFBR grants 17-01-00886 and 18-00-01524 (18-00-01661).

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Correspondence to Vasily Kramarenko .

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Chernyshenko, A., Danilov, A., Kramarenko, V. (2019). Coupling of PDE and ODE Solvers in INMOST Parallel Platform: Application to Electrophysiology. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2019. Communications in Computer and Information Science, vol 1129. Springer, Cham.

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