Interaction and synchronization of rhythms in a model of the brain limbic system
The purpose of this study is to build a mathematical network model for interaction of rhythms in the limbic system of the brain, when pathological epileptiform activity is spreading from the focus. Methods. Based on well-known anatomical rules and biophysical laws, networks of model neurons are con...
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| Format: | Article |
| Language: | English |
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Saratov State University
2025-07-01
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| Series: | Известия высших учебных заведений: Прикладная нелинейная динамика |
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| Online Access: | https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2025/07/and_2025-4_kapustnikov_et-al_567-589.pdf |
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| author | Kapustnikov, Anton Aleksandrovich Sysoeva, Marina Vyacheslavovna Sysoev, Ilya Vyacheslavovich Kornilov, Maksim Vyacheslavovich |
| author_facet | Kapustnikov, Anton Aleksandrovich Sysoeva, Marina Vyacheslavovna Sysoev, Ilya Vyacheslavovich Kornilov, Maksim Vyacheslavovich |
| author_sort | Kapustnikov, Anton Aleksandrovich |
| collection | DOAJ |
| description | The purpose of this study is to build a mathematical network model for interaction of rhythms in the limbic system of the brain, when pathological epileptiform activity is spreading from the focus. Methods. Based on well-known anatomical rules and biophysical laws, networks of model neurons are constructed for the hippocampus, the entorhinal and frontal cortex of both hemispheres. The task of chaotic dynamics synchronization in a relatively large network of heterogeneous neurooscillators by the signal of a ring generator of regular activity (a model of epileptic focus) was considered. Results. The regular pulse activity was shown to be able partly synchronize of suppress own activity in the limbic system model despite significant differences between the model equations of different cell types and the presence of natural fundamental oscillation frequencies in the beta and gamma ranges, with some spectral peaks become shifted. This effect stays valid not for a single model, but for a class of models that differ by the connectivity matrices. Conclusion. The mechanism of pathological rhythmic activity propagation from the epileptic focus to the whole limbic system is modelled for the first time, with using biologically relevant models of the limbic system of both brain hemispheres. |
| format | Article |
| id | doaj-art-9a56d42b549f4f05826903e3c8e6a02f |
| institution | Kabale University |
| issn | 0869-6632 2542-1905 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Saratov State University |
| record_format | Article |
| series | Известия высших учебных заведений: Прикладная нелинейная динамика |
| spelling | doaj-art-9a56d42b549f4f05826903e3c8e6a02f2025-08-20T03:58:36ZengSaratov State UniversityИзвестия высших учебных заведений: Прикладная нелинейная динамика0869-66322542-19052025-07-0133456758910.18500/0869-6632-003179Interaction and synchronization of rhythms in a model of the brain limbic systemKapustnikov, Anton Aleksandrovich0Sysoeva, Marina Vyacheslavovna1Sysoev, Ilya Vyacheslavovich2Kornilov, Maksim Vyacheslavovich3Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaPeter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaSaratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaThe purpose of this study is to build a mathematical network model for interaction of rhythms in the limbic system of the brain, when pathological epileptiform activity is spreading from the focus. Methods. Based on well-known anatomical rules and biophysical laws, networks of model neurons are constructed for the hippocampus, the entorhinal and frontal cortex of both hemispheres. The task of chaotic dynamics synchronization in a relatively large network of heterogeneous neurooscillators by the signal of a ring generator of regular activity (a model of epileptic focus) was considered. Results. The regular pulse activity was shown to be able partly synchronize of suppress own activity in the limbic system model despite significant differences between the model equations of different cell types and the presence of natural fundamental oscillation frequencies in the beta and gamma ranges, with some spectral peaks become shifted. This effect stays valid not for a single model, but for a class of models that differ by the connectivity matrices. Conclusion. The mechanism of pathological rhythmic activity propagation from the epileptic focus to the whole limbic system is modelled for the first time, with using biologically relevant models of the limbic system of both brain hemispheres. https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2025/07/and_2025-4_kapustnikov_et-al_567-589.pdfmodel of brain limbic systemhodgkin-huxley model |
| spellingShingle | Kapustnikov, Anton Aleksandrovich Sysoeva, Marina Vyacheslavovna Sysoev, Ilya Vyacheslavovich Kornilov, Maksim Vyacheslavovich Interaction and synchronization of rhythms in a model of the brain limbic system Известия высших учебных заведений: Прикладная нелинейная динамика model of brain limbic system hodgkin-huxley model |
| title | Interaction and synchronization of rhythms in a model of the brain limbic system |
| title_full | Interaction and synchronization of rhythms in a model of the brain limbic system |
| title_fullStr | Interaction and synchronization of rhythms in a model of the brain limbic system |
| title_full_unstemmed | Interaction and synchronization of rhythms in a model of the brain limbic system |
| title_short | Interaction and synchronization of rhythms in a model of the brain limbic system |
| title_sort | interaction and synchronization of rhythms in a model of the brain limbic system |
| topic | model of brain limbic system hodgkin-huxley model |
| url | https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2025/07/and_2025-4_kapustnikov_et-al_567-589.pdf |
| work_keys_str_mv | AT kapustnikovantonaleksandrovich interactionandsynchronizationofrhythmsinamodelofthebrainlimbicsystem AT sysoevamarinavyacheslavovna interactionandsynchronizationofrhythmsinamodelofthebrainlimbicsystem AT sysoevilyavyacheslavovich interactionandsynchronizationofrhythmsinamodelofthebrainlimbicsystem AT kornilovmaksimvyacheslavovich interactionandsynchronizationofrhythmsinamodelofthebrainlimbicsystem |