Department of Physics, Xiamen University, Xiamen 361005, China.
State Key Laboratory of Cellular Stress Biology, Innovation Center for Cell Signaling Network, Xiamen University, Xiamen 361102, China.
Phys Rev E. 2018 Jan;97(1-1):012406. doi: 10.1103/PhysRevE.97.012406.
As an important intracellular signal, Ca^{2+} ions control diverse cellular functions. In this paper, we discuss the Ca^{2+} signaling with a two-dimensional model in which the inositol 1,4,5-trisphosphate (IP_{3}) receptor channels are distributed in clusters on the endoplasmic reticulum membrane. The wave failure at large Ca^{2+} diffusion coupling is discussed in detail in the model. We show that with varying model parameters the wave failure is a robust behavior with either deterministic or stochastic channel dynamics. We suggest that the wave failure should be a general behavior in inhomogeneous diffusing systems with clustered excitable regions and may occur in biological Ca^{2+} signaling systems.
作为一种重要的细胞内信号，钙离子控制着多种细胞功能。在本文中，我们讨论了一种二维模型中的钙离子信号，其中肌醇 1,4,5-三磷酸（IP3）受体通道在内质网膜上呈簇状分布。在该模型中详细讨论了在大钙离子扩散耦合下的波失效现象。我们表明，随着模型参数的变化，无论通道动力学是确定性的还是随机的，波失效都是一种稳健的行为。我们认为，波失效应该是具有簇状兴奋区域的非均匀扩散系统中的一种普遍行为，并且可能发生在生物钙离子信号系统中。
