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具有钙振荡的全细胞多尺度模型中多重爆发模式的动态机制。

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

机构信息

School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing, People's Republic of China.

出版信息

J Biol Dyn. 2021 Dec;15(1):308-326. doi: 10.1080/17513758.2021.1925753.

Abstract

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.

摘要

研究了含有电信号和两室 Ca 信号的完整细胞模型的动力学机制。通过合适的参数,检测到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发生变化时,通过混沌揭示了具有局部小波动的弛豫振荡、混沌爆发和混合模式爆发(MMB)。此外,还分析了 相对于 的分岔,显示了周期解、环面、倍周期解和混沌。最后,在一组特定参数下,阐明了全系统的超极化和环面似能的行为。

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