Branching pattern formation that reflects the history of signal propagation
Branching pattern formation that reflects the history of signal propagation
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DOI：
10.1103/physreve.82.046205
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发表时间：
2010-10-05
影响因子：
2.4
通讯作者：
Takigawa-Imamura, Hisako
中科院分区：
文献类型：
--
作者：
Motoike, Ikuko N.;Takigawa-Imamura, Hisako
在生物体中，分支结构经常在开放系统中观察到。在结构形成/变形的过程中，可以观察到信号传播。分支路径通常根据信号传播的历史而变形。为了更好地理解图案形成的过程中，导致特征几何路径，我们采用了一个系统，其中路径形成的动力学与信号传播。该模型同时考虑了分支生成动力学和信号传播动力学，并在这两个动力学过程之间引入了正反馈。我们研究了路径变形的几何特性和信号传播的模式，使用离散化的反应扩散模型。该模型可以定性地再现不同的分支模式和信号传播手段。一个显著的结果是，这两个动态过程的相互作用导致自主波的产生，类似于起搏器或螺旋波的产生。由于信号中的自主波生成是自发的，因此分支路径的形状变得失真。我们讨论的路径变形和信号传播之间的相关性，在理解这样复杂的可变形路径的信号处理的第一步。
In living organisms, branching structures are often observed in open systems. During the process of structure formation/deformation, signal propagation can be observed. Branching paths often deform depending on the history of signal propagation. To gain a better understanding of the process of pattern formation that results in characteristic geometrical paths, we adopt a system in which the dynamics of path formation are correlated with signal propagation. This model involves both branch-generation dynamics and signal-propagation dynamics, and we introduced positive feedback between these two dynamic processes. We studied the geometrical properties of path deformation and the pattern of signal propagation using a discretized reaction-diffusion model. The proposed model can qualitatively reproduce different branching patterns and means of signal propagation. One remarkable result is that the mutual interaction of these two dynamic processes leads to autonomous wave generation, similar to a pacemaker or the generation of spiral waves. Because the autonomous wave generation in the signal is spontaneous, the shapes of the branching paths become distorted. We discuss the correlation between path deformation and signal propagation as a first step in understanding signal processing for such complex deformable paths.