Calcium Oscillations and Membrane Transport: The Importance of Two Time Scales

Calcium Oscillations and Membrane Transport: The Importance of Two Time Scales
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钙振荡和膜运输:两个时间尺度的重要性

DOI:
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发表时间:
2005
影响因子:
1.6
通讯作者:
J. Sneyd
J. Sneyd
中科院分区:
数学3区
文献类型:
--
作者:
K. Tsaneva;T. Shuttleworth;D. Yule;John L. Thompson;J. Sneyd

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已经通过实验观察到,在许多细胞类型中,跨质膜的钙通量影响三磷酸肌醇(IP$_3$)诱导的钙振荡。这有些令人费解;由于IP 33诱导的钙波动涉及钙进出内质网的循环,因此还不清楚它们如何受到膜通量的强烈影响。我们使用一个数学模型来回答这个问题,这个模型依赖于引入一个慢变量,即细胞的Ca$^{2+}$负荷。我们在两个时间尺度上对模型进行了分岔分析,将慢变量作为分岔参数,从而模拟了一个封闭的细胞模型,其中没有Ca$^{2+}$传输到外部介质和从外部介质。闭孔模型中同宿分支的存在说明了Ca$^{2+}$负载的临界值的存在,该临界值控制胞质Ca$^{2+}$振荡的存在。我们的模型预测证实了实验...
It has been observed experimentally that, in many cell types, calcium fluxes across the plasma membrane affect inositol trisphosphate (IP$_3$)-induced calcium oscillations. This is somewhat puzzling; since IP$_3$-induced calcium oscillations involve the cycling of calcium to and from the endoplasmic reticulum it is not well understood how they can be so strongly affected by membrane fluxes. We use a mathematical model to answer this question, a model that relies on the introduction of a slow variable, the Ca$^{2+}$ load of the cell. We carry out a bifurcation analysis of the model in two time scales, treating the slow variable as a bifurcation parameter, thus simulating a closed-cell model, in which there is no Ca$^{2+}$ transport to and from the external medium. The presence of a homoclinic bifurcation in the closed-cell model accounts for the existence of a critical value of the Ca$^{2+}$ load which controls the existence of cytosolic Ca$^{2+}$ oscillations. Our model predictions are confirmed by experi...
DOI: 10.1016/s0006-3495(03)74572-x
发表时间: 2003-09-01
影响因子: 3.4
作者:
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