含钙振荡的全细胞多尺度模型中多种破裂模式的动力机制。

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2021-12-01 DOI:10.1080/17513758.2021.1925753

Xiaowen Xiong, Yanqiu Li, Dongmei Zheng

{"title":"含钙振荡的全细胞多尺度模型中多种破裂模式的动力机制。","authors":"Xiaowen Xiong, Yanqiu Li, Dongmei Zheng","doi":"10.1080/17513758.2021.1925753","DOIUrl":null,"url":null,"abstract":"The dynamic mechanism of a whole-cell model containing electrical signalling and two-compartment Ca<math><msup><mi></mi><mrow><mn>2</mn><mo>+</mo></mrow></msup></math> signalling in gonadotrophs is investigated. The transition from spiking to bursting by Hopf bifurcation of the fast subsystem about the slow variable is detected via the suitable parameters. When the timescale of K<math><msup><mi></mi><mo>+</mo></msup></math> gating variable is changed, the relaxation oscillation with locally small fluctuation, chaotic bursting and mixed-mode bursting (MMB) are revealed through chaos. In addition, the bifurcation of <math><mo>[</mo><msup><mrow><mi>C</mi><mi>a</mi></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup><msub><mo>]</mo><mi>i</mi></msub></math> with regard to <math><mo>[</mo><mi>I</mi><msub><mi>P</mi><mn>3</mn></msub><mo>]</mo></math> is analysed, showing periodic solutions, torus, period doubling solutions and chaos. Finally, hyperpolarizations and torus canard-like behaviours of the full system under a set of specific parameters are elucidated.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 1","pages":"308-326"},"PeriodicalIF":1.8000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1925753","citationCount":"1","resultStr":"{\"title\":\"Dynamic mechanism of multiple bursting patterns in a whole-cell multiscale model with calcium oscillations.\",\"authors\":\"Xiaowen Xiong, Yanqiu Li, Dongmei Zheng\",\"doi\":\"10.1080/17513758.2021.1925753\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The dynamic mechanism of a whole-cell model containing electrical signalling and two-compartment Ca<math><msup><mi></mi><mrow><mn>2</mn><mo>+</mo></mrow></msup></math> signalling in gonadotrophs is investigated. The transition from spiking to bursting by Hopf bifurcation of the fast subsystem about the slow variable is detected via the suitable parameters. When the timescale of K<math><msup><mi></mi><mo>+</mo></msup></math> gating variable is changed, the relaxation oscillation with locally small fluctuation, chaotic bursting and mixed-mode bursting (MMB) are revealed through chaos. In addition, the bifurcation of <math><mo>[</mo><msup><mrow><mi>C</mi><mi>a</mi></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup><msub><mo>]</mo><mi>i</mi></msub></math> with regard to <math><mo>[</mo><mi>I</mi><msub><mi>P</mi><mn>3</mn></msub><mo>]</mo></math> is analysed, showing periodic solutions, torus, period doubling solutions and chaos. Finally, hyperpolarizations and torus canard-like behaviours of the full system under a set of specific parameters are elucidated.\",\"PeriodicalId\":48809,\"journal\":{\"name\":\"Journal of Biological Dynamics\",\"volume\":\"15 1\",\"pages\":\"308-326\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2021-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/17513758.2021.1925753\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Biological Dynamics\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1080/17513758.2021.1925753\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Biological Dynamics","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1080/17513758.2021.1925753","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECOLOGY","Score":null,"Total":0}

引用次数: 1

摘要

研究了促性腺激素中含有电信号和双室Ca2+信号的全细胞模型的动态机制。通过适当的参数检测快子系统关于慢变量的Hopf分岔从尖峰到爆发的转变。当K+门控变量的时间尺度改变时，通过混沌表现出局域小波动的松弛振荡、混沌爆破和混合模式爆破(MMB)。此外，分析了[Ca2+]i对[IP3]的分岔，显示了周期解、环面、周期加倍解和混沌。最后，在一组特定参数下，阐明了整个系统的超极化和环面鸭状行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Dynamic mechanism of multiple bursting patterns in a whole-cell multiscale model with calcium oscillations.

The dynamic mechanism of a whole-cell model containing electrical signalling and two-compartment Ca $^{2 +}$ signalling in gonadotrophs is investigated. The transition from spiking to bursting by Hopf bifurcation of the fast subsystem about the slow variable is detected via the suitable parameters. When the timescale of K $^{+}$ gating variable is changed, the relaxation oscillation with locally small fluctuation, chaotic bursting and mixed-mode bursting (MMB) are revealed through chaos. In addition, the bifurcation of $[{C a}^{2 +}]_{i}$ with regard to $[I P_{3}]$ is analysed, showing periodic solutions, torus, period doubling solutions and chaos. Finally, hyperpolarizations and torus canard-like behaviours of the full system under a set of specific parameters are elucidated.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.