星形胶质细胞中1，4，5-三磷酸肌醇信号介导的规则复杂钙振荡的出现
Emergence of regular and complex calcium oscillations by inositol 1,4,5-trisphosphate signaling in astrocytes
摘要：
我们用分岔理论的工具从数学的角度描述了星形胶质细胞~IP $_3$和~Ca $^{2+}$在不同~IP $_3$机制下的动力学。我们这样做的自下而上的方法，从一个紧凑的，充分搅拌的星形胶质细胞模型开始，首先确定特征性的~IP $_3$途径，其中~Ca $^{2+}$（和~IP $_3$）动态“分叉”，即从稳定（恒定）的浓度水平，振荡动力学的变化。然后，我们将我们的分析扩展到两个星形胶质细胞的基本情况下，耦合的~IP $_3$扩散介导的间隙连接通道，把重点放在混沌振荡出现的机制。最后，我们完成了我们的分析讨论时空~Ca $^{2+}$动态在空间扩展的星形胶质细胞模型，获得洞察可能的物理机制，随机Ca $^{2+}$ ~代可以编排成强大的，空间受限的细胞内~Ca $^{2+}$振荡。
英文摘要：
We use tools of bifurcation theory to characterize dynamics of astrocytic~IP$_3$ and~Ca$^{2+}$ for different~IP$_3$ regimes from a mathematical point of view. We do so following a bottom-up approach, starting from a compact, well-stirred astrocyte model to first identify characteristic~IP$_3$ pathways whereby~Ca$^{2+}$ (and~IP$_3$) dynamics "bifurcate", namely change from stable (constant) concentration levels, to oscillatory dynamics. Then we extend our analysis to the elemental case of two astrocytes, coupled by~IP$_3$ diffusion mediated by gap junction channels, putting emphasis on the mechanisms of emergence of chaotic oscillations. Finally, we complete our analysis discussing spatiotemporal~Ca$^{2+}$ dynamics in a spatially-extended astrocyte model, gaining insights on the possible physical mechanisms whereby random Ca$^{2+}$~generation could be orchestrated into robust, spatially-confined intracellular~Ca$^{2+}$ oscillations.
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