Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes
Ca2+ oscillations play an important role in various cell types. Thus, understanding the dynamical mechanisms underlying astrocytic Ca2+ oscillations is of great importance. The main purpose of this article was to investigate dynamical behaviors and bifurcation mechanisms associated with astrocytic C...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9279315 |
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| author | Min Ye Hongkun Zuo |
| author_facet | Min Ye Hongkun Zuo |
| author_sort | Min Ye |
| collection | DOAJ |
| description | Ca2+ oscillations play an important role in various cell types. Thus, understanding the dynamical mechanisms underlying astrocytic Ca2+ oscillations is of great importance. The main purpose of this article was to investigate dynamical behaviors and bifurcation mechanisms associated with astrocytic Ca2+ oscillations, including stability of equilibrium and classification of different dynamical activities including regular and chaotic Ca2+ oscillations. Computation results show that part of the reason for the appearance and disappearance of spontaneous astrocytic Ca2+ oscillations is that they embody the subcritical Hopf and the supercritical Hopf bifurcation points. In more details, we theoretically analyze the stability of the equilibrium points and illustrate the regular and chaotic spontaneous calcium firing activities in the astrocytes model, which are qualitatively similar to actual biological experiment. Then, we investigate the effectiveness and the accuracy of our nonlinear dynamical mechanism analysis via computer simulations. These results suggest the important role of spontaneous Ca2+ oscillations in conjunction with the adjacent neuronal input that may help correlate the connection of both the glia and neuron. |
| format | Article |
| id | doaj-art-57867e7a5f4a4f9bb929fdba4cfc4f69 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-57867e7a5f4a4f9bb929fdba4cfc4f692025-02-03T01:04:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/92793159279315Stability Analysis of Regular and Chaotic Ca2+ Oscillations in AstrocytesMin Ye0Hongkun Zuo1School of Education Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, ChinaSchool of Finance and Mathematics, Huainan Normal University, Huainan 232038, Anhui, ChinaCa2+ oscillations play an important role in various cell types. Thus, understanding the dynamical mechanisms underlying astrocytic Ca2+ oscillations is of great importance. The main purpose of this article was to investigate dynamical behaviors and bifurcation mechanisms associated with astrocytic Ca2+ oscillations, including stability of equilibrium and classification of different dynamical activities including regular and chaotic Ca2+ oscillations. Computation results show that part of the reason for the appearance and disappearance of spontaneous astrocytic Ca2+ oscillations is that they embody the subcritical Hopf and the supercritical Hopf bifurcation points. In more details, we theoretically analyze the stability of the equilibrium points and illustrate the regular and chaotic spontaneous calcium firing activities in the astrocytes model, which are qualitatively similar to actual biological experiment. Then, we investigate the effectiveness and the accuracy of our nonlinear dynamical mechanism analysis via computer simulations. These results suggest the important role of spontaneous Ca2+ oscillations in conjunction with the adjacent neuronal input that may help correlate the connection of both the glia and neuron.http://dx.doi.org/10.1155/2020/9279315 |
| spellingShingle | Min Ye Hongkun Zuo Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes Discrete Dynamics in Nature and Society |
| title | Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes |
| title_full | Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes |
| title_fullStr | Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes |
| title_full_unstemmed | Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes |
| title_short | Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes |
| title_sort | stability analysis of regular and chaotic ca2 oscillations in astrocytes |
| url | http://dx.doi.org/10.1155/2020/9279315 |
| work_keys_str_mv | AT minye stabilityanalysisofregularandchaoticca2oscillationsinastrocytes AT hongkunzuo stabilityanalysisofregularandchaoticca2oscillationsinastrocytes |