Molecular Communication is an emerging technology enabling communications in nano-networks. Ca2+ signal is one promising option of MC due to the important role in bio-metabolisms and the available characteristics in communication engineering. So far, scientists analyze Ca2+ signaling via bio-experiments and simulations. Current researches lack a mathematical model for quantitative analysis of Ca2+ signal propagation on the network scale. In this work, we investigate the propagation patterns of Ca2+ signals in bio-cellular network. Firstly, we propose an improved Ca2+ dynamics model to describe Ca2+ signals considering movements of cells and attenuation of Ca2+ concentration. Then, we perform multi-modal analysis through the waveform characteristics, and classify cells according to their states. Moreover, a mathematical model is put forward to analyze the propagation of calcium signals based on typical epidemic model. The proposed model fully considers the similarity between: 1) epidemic disease propagates among mobile individuals; 2) Ca2+ signal propagates among mobile cells. The proposed model is amended to fit the case considering unique characters of Ca2+ signal. Finally, simulation results show that the proposed Ca2+ propagation model is coincident with Monte Carlo simulation results, indicating that the model is helpful for understanding how far and how fast Ca2+ signal can propagate.

中文翻译：

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移动分子通信网络中类似流行病的钙信号传导


分子通信是一种能够在纳米网络中进行通信的新兴技术。由于在生物代谢中的重要作用以及在通信工程中的可用特性，Ca2+信号是 MC 的一种有前途的选择。到目前为止，科学家们通过生物实验和模拟来分析 Ca2+ 信号传导。目前的研究缺乏定量分析网络尺度上Ca2+信号传播的数学模型。在这项工作中，我们研究了生物细胞网络中 Ca2+ 信号的传播模式。首先，我们提出了一种改进的 Ca2+ 动力学模型来描述考虑细胞运动和 Ca2+ 浓度衰减的 Ca2+ 信号。然后，我们通过波形特征进行多模态分析，并根据细胞的状态对细胞进行分类。此外，基于典型的流行病模型，提出了分析钙信号传播的数学模型。所提出的模型充分考虑了以下方面的相似性：1）流行病在流动个体之间传播； 2) Ca2+信号在移动细胞之间传播。考虑到 Ca2+ 信号的独特特征，对所提出的模型进行了修改以适应情况。最后，仿真结果表明，所提出的Ca2+传播模型与蒙特卡罗仿真结果一致，表明该模型有助于了解Ca2+信号的传播距离和速度。