A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations
A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations
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DOI：
10.1007/s11538-015-0080-x
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发表时间：
2015-06-01
影响因子：
3.5
通讯作者：
Gerisch, A.
中科院分区：
文献类型：
--
作者：
Painter, K. J.;Bloomfield, J. M.;Gerisch, A.
指导他人移动对许多种群来说都是基本的，无论是动物还是细胞。在许多情况下，这些指令是通过接触传递的，这样指令就可以直接（例如通过触摸）从信号发送者传递给接收者：对于细胞来说，这可以通过细胞膜上的受体-配体介导的相互作用发生，如果细胞延伸到较长的丝状足，则可能在一定距离内发生。考虑到从吸引到排斥的指令可以在不同的距离和相同（同型）或不同（异型）的细胞之间传递，这些机制显然对组织的组织有重大影响。在本文中，我们扩展了一个非局部偏微分方程（积分微分方程）系统，以提供一个通用的建模框架来探索这些过程，执行线性稳定性和数值分析，以揭示其触发组织自组织的能力。我们通过两个说明性应用证明了框架的潜力：接触介导的神经嵴种群扩散和斑马鱼色素沉着模式的自组织。
Instructing others to move is fundamental for many populations, whether animal or cellular. In many instances, these commands are transmitted by contact, such that an instruction is relayed directly (e.g. by touch) from signaller to receiver: for cells, this can occur via receptor-ligand mediated interactions at their membranes, potentially at a distance if a cell extends long filopodia. Given that commands ranging from attractive to repelling can be transmitted over variable distances and between cells of the same (homotypic) or different (heterotypic) type, these mechanisms can clearly have a significant impact on the organisation of a tissue. In this paper, we extend a system of nonlocal partial differential equations (integrodifferential equations) to provide a general modelling framework to explore these processes, performing linear stability and numerical analyses to reveal its capacity to trigger the self-organisation of tissues. We demonstrate the potential of the framework via two illustrative applications: the contact-mediated dispersal of neural crest populations and the self-organisation of pigmentation patterns in zebrafish.