On a model of pattern regeneration based on cell memory.

On a model of pattern regeneration based on cell memory.
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DOI:
10.1371/journal.pone.0118091
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发表时间:
2015
期刊:
影响因子:
3.7
通讯作者:
Volpert V
Volpert V
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Bessonov N;Levin M;Morozova N;Reinberg N;Tosenberger A;Volpert V

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我们在这里提出了一种新的细胞动力学模型,可以实现复杂生物形态的再生。生物细胞结构被认为是平面上数学点的集合。每个细胞产生一个信号,该信号在空间中传播并被其他细胞接收。每个细胞接收到的总信号形成在细胞结构上定义的信号分布。这种分布表征了细胞结构的几何形状。如果该结构的一部分被移除,则剩余的细胞有两个信号。他们保留截肢前的信号值(记忆),并接收截肢后产生的新信号。新旧信号之间的差异刺激细胞结构的再生。当两个信号一致时停止。再生算法包含对其功能至关重要的某些规则,是第一个将复杂模式再生为特定目标形态的细胞记忆定量模型。正确的再生取决于细胞结构的形式和大小,以及一些再生参数。
We present here a new model of the cellular dynamics that enable regeneration of complex biological morphologies. Biological cell structures are considered as an ensemble of mathematical points on the plane. Each cell produces a signal which propagates in space and is received by other cells. The total signal received by each cell forms a signal distribution defined on the cell structure. This distribution characterizes the geometry of the cell structure. If a part of this structure is removed, the remaining cells have two signals. They keep the value of the signal which they had before the amputation (memory), and they receive a new signal produced after the amputation. Regeneration of the cell structure is stimulated by the difference between the old and the new signals. It is stopped when the two signals coincide. The algorithm of regeneration contains certain rules which are essential for its functioning, being the first quantitative model of cellular memory that implements regeneration of complex patterns to a specific target morphology. Correct regeneration depends on the form and the size of the cell structure, as well as on some parameters of regeneration.
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