MODELING OF LIQUID VORTICITY USING CELLULAR AUTOMATON

Authors

  • E. A. Nastenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv
  • A. V. Radahuz National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

DOI:

https://doi.org/10.18372/1990-5548.54.12337

Keywords:

Cellular automata, derivation of hydrodynamics, molecular dynamics, hexagonal grid, Navier–Stokes equations

Abstract

A method has been developed for constructing large-scale electrophysiological models using extended cellular automata and for running such models on a cluster of shared memory systems. A method is proposed, including the extension of the language cellular automaton for the implementation of quantitative calculations, the construction of the whole-heart model with the Visible Human Project data, the parallelization of the model on a cluster of computers with a general and a simulation algorithm that connects the activity of cells with an electrocardiogram. It is shown that electrical activity at the level of canals, cells and organs can be traced in the extended system of cellular automata. Examples of some signals of electrocardiograms simulated by a two-dimensional cut are given. Also, an evaluation of the performance of a three-dimensional model on a four-member cluster.

Author Biographies

E. A. Nastenko, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

Doctor of Biological Science. Professor.

Head of Department of biomedical cybernetics

A. V. Radahuz, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

Post-graduate student

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Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS