Many-body theory of chemotactic cell-cell interactions.
Many-body theory of chemotactic cell-cell interactions.
复制标题
趋化细胞-细胞相互作用的多体理论。
DOI：
10.1103/physreve.70.051916
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Ramon Grima
中科院分区：
文献类型：
--
作者：
T. J. Newman;Ramon Grima
我们考虑一个基于个体的随机模型介导的化学信号领域的细胞运动。这个模型是使用朗之万动力学，它允许使用统计和多体物理学的方法进行分析研究。特别是，我们构建了一个图形框架内，研究细胞间的相互作用。在平均场的限制，细胞之间的统计相关性被忽略，我们恢复确定性凯勒-西格尔方程。在趋化偶联的精确微扰理论中，统计相关性在很大程度上是不可忽略的，并导致细胞扩散系数D（R）的重正化--一种在平均场水平上不存在的效应。基于项链近似的另一种封闭方案，探测了系统的强耦合行为，并预测D（R）在临界值λ处重整化为零，表明细胞的自定位。模型的随机模拟结果与微扰结果非常吻合。在较高的耦合值下，模拟表明D（R）约为epsilon（-2），这一结果与项链近似不一致。我们简要地讨论了我们的模型的扩展，它结合了短程相互作用，如细胞-细胞粘附的影响。
We consider an individual-based stochastic model of cell movement mediated by chemical signaling fields. This model is formulated using Langevin dynamics, which allows an analytic study using methods from statistical and many-body physics. In particular we construct a diagrammatic framework within which to study cell-cell interactions. In the mean-field limit, where statistical correlations between cells are neglected, we recover the deterministic Keller-Segel equations. Within exact perturbation theory in the chemotactic coupling epsilon , statistical correlations are non-negligible at large times and lead to a renormalization of the cell diffusion coefficient D(R)--an effect that is absent at mean-field level. An alternative closure scheme, based on the necklace approximation, probes the strong coupling behavior of the system and predicts that D(R) is renormalized to zero at a critical value of epsilon, indicating self-localization of the cell. Stochastic simulations of the model give very satisfactory agreement with the perturbative result. At higher values of the coupling simulations indicate that D(R) approximately epsilon(-2) , a result at odds with the necklace approximation. We briefly discuss an extension of our model, which incorporates the effects of short-range interactions such as cell-cell adhesion.