Modeling of autowave processes in active media with inhomogeneous properties
This paper shows the results of computer modeling of the processes of excitation and propagation of autowaves in distributed active media with inhomogeneous properties. The study of autowaves by the cellular automata method is based on the Wiener–Rosenbluth model, according to which each element of...
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| Language: | English |
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Belarusian National Technical University
2023-11-01
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| Series: | Системный анализ и прикладная информатика |
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| Online Access: | https://sapi.bntu.by/jour/article/view/625 |
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| author | A. V. Gulaj V. A. Gulaj A. V. Dubovik |
| author_facet | A. V. Gulaj V. A. Gulaj A. V. Dubovik |
| author_sort | A. V. Gulaj |
| collection | DOAJ |
| description | This paper shows the results of computer modeling of the processes of excitation and propagation of autowaves in distributed active media with inhomogeneous properties. The study of autowaves by the cellular automata method is based on the Wiener–Rosenbluth model, according to which each element of the active environment can be in one of three states: rest, excitation and refractoriness. The software module "AutoWaveModel" has been developed in C++ using the Qt library and OpenGL technology for modeling dynamic processes of excitation of spiral waves and pacemakers. The heterogeneity of the properties of the active environment in the model under consideration is set, in particular, by introducing into the field (volume) of modeling a certain number of inactive elements distributed according to a random law. It is established that the decay of autowaves occurs when about 30-60% of inactive elements are introduced from their total number in the model, moreover, the wave propagation process becomes more stable with an increase in the decay coefficient of the activator of all elements. As one of the factors creating heterogeneity of the active distributed environment, the change in the decay coefficient of the activator in its volume is also considered. In this case, each cell of the model is assigned a random value of the specified coefficient, lying in a given interval from the minimum to the maximum value. With a significant difference in the values of the activator decay coefficient in near areas of the active environment and a sufficiently high excitation threshold, the wave front is curved due to its acceleration or deceleration. In this case, the destruction of the wave is also observed, which is unable to overcome the area with a reduced decay coefficient of the activator. |
| format | Article |
| id | doaj-art-4e35376d9d8141f0a0fcc6656436e5c0 |
| institution | Kabale University |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-4e35376d9d8141f0a0fcc6656436e5c02025-02-03T05:16:54ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812023-11-0103172210.21122/2309-4923-2023-3-17-22464Modeling of autowave processes in active media with inhomogeneous propertiesA. V. Gulaj0V. A. Gulaj1A. V. Dubovik2Belarusian National Technical UniversityBelarusian National Technical UniversityBelarusian National Technical UniversityThis paper shows the results of computer modeling of the processes of excitation and propagation of autowaves in distributed active media with inhomogeneous properties. The study of autowaves by the cellular automata method is based on the Wiener–Rosenbluth model, according to which each element of the active environment can be in one of three states: rest, excitation and refractoriness. The software module "AutoWaveModel" has been developed in C++ using the Qt library and OpenGL technology for modeling dynamic processes of excitation of spiral waves and pacemakers. The heterogeneity of the properties of the active environment in the model under consideration is set, in particular, by introducing into the field (volume) of modeling a certain number of inactive elements distributed according to a random law. It is established that the decay of autowaves occurs when about 30-60% of inactive elements are introduced from their total number in the model, moreover, the wave propagation process becomes more stable with an increase in the decay coefficient of the activator of all elements. As one of the factors creating heterogeneity of the active distributed environment, the change in the decay coefficient of the activator in its volume is also considered. In this case, each cell of the model is assigned a random value of the specified coefficient, lying in a given interval from the minimum to the maximum value. With a significant difference in the values of the activator decay coefficient in near areas of the active environment and a sufficiently high excitation threshold, the wave front is curved due to its acceleration or deceleration. In this case, the destruction of the wave is also observed, which is unable to overcome the area with a reduced decay coefficient of the activator.https://sapi.bntu.by/jour/article/view/625mathematical modelingactive environmentdistributed systemautowave processcellular automatwiener-rosenbluth model |
| spellingShingle | A. V. Gulaj V. A. Gulaj A. V. Dubovik Modeling of autowave processes in active media with inhomogeneous properties Системный анализ и прикладная информатика mathematical modeling active environment distributed system autowave process cellular automat wiener-rosenbluth model |
| title | Modeling of autowave processes in active media with inhomogeneous properties |
| title_full | Modeling of autowave processes in active media with inhomogeneous properties |
| title_fullStr | Modeling of autowave processes in active media with inhomogeneous properties |
| title_full_unstemmed | Modeling of autowave processes in active media with inhomogeneous properties |
| title_short | Modeling of autowave processes in active media with inhomogeneous properties |
| title_sort | modeling of autowave processes in active media with inhomogeneous properties |
| topic | mathematical modeling active environment distributed system autowave process cellular automat wiener-rosenbluth model |
| url | https://sapi.bntu.by/jour/article/view/625 |
| work_keys_str_mv | AT avgulaj modelingofautowaveprocessesinactivemediawithinhomogeneousproperties AT vagulaj modelingofautowaveprocessesinactivemediawithinhomogeneousproperties AT avdubovik modelingofautowaveprocessesinactivemediawithinhomogeneousproperties |