群体感应中协同子的二维分子信号分析
Characterization of Cooperators in Quorum Sensing with 2D Molecular Signal Analysis
摘要：
在群体感应（QS）中，细菌交换分子信号以共同工作。提出了一种易于分析的模型，用于表征细菌群体内的QS信号传播和响应合作细菌的数量（即，合作者）在二维（2D）环境中。与先前的工作与确定性拓扑结构和简化的分子传播通道，这项工作考虑连续发射，扩散，降解，和随机分布的细菌之间的接收。使用随机几何，2D信道响应和相应的合作概率在一个细菌。在此基础上，推导出了新的矩母函数和合作者个数的不同阶矩的表达式。分析结果与基于粒子的方法得到的模拟结果一致。此外，泊松分布和高斯分布进行了比较，以近似分布的合作者的数量和泊松分布提供了最好的整体近似。导出的信道响应通常可以应用于任何分子通信模型，其中单个或多个发射器连续地将分子释放到2D环境中。导出的合作者数量的统计数据可用于预测和控制QS过程，例如，预测和降低生物膜形成的可能性。
英文摘要：
In quorum sensing (QS), bacteria exchange molecular signals to work together. An analytically-tractable model is presented for characterizing QS signal propagation within a population of bacteria and the number of responsive cooperative bacteria (i.e., cooperators) in a two-dimensional (2D) environment. Unlike prior works with a deterministic topology and a simplified molecular propagation channel, this work considers continuous emission, diffusion, degradation, and reception among randomly-distributed bacteria. Using stochastic geometry, the 2D channel response and the corresponding probability of cooperation at a bacterium are derived. Based on this probability, new expressions are derived for the moment generating function and different orders of moments of the number of cooperators. The analytical results agree with the simulation results obtained by a particle-based method. In addition, the Poisson and Gaussian distributions are compared to approximate the distribution of the number of cooperators and the Poisson distribution provides the best overall approximation. The derived channel response can be generally applied to any molecular communication model where single or multiple transmitters continuously release molecules into a 2D environment. The derived statistics of the number of cooperators can be used to predict and control the QS process, e.g., predicting and decreasing the likelihood of biofilm formation.
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