{"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":"<p><p>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.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"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\":\"<p><p>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.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"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\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1080/17513758.2021.1925753\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1080/17513758.2021.1925753","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
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 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 with regard to 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.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.