Cell-differentiation rules that generate regular mosaic patterns: modelling motivated by cone mosaic formation in fish retina.
Cell-differentiation rules that generate regular mosaic patterns: modelling motivated by cone mosaic formation in fish retina.
复制标题
生成规则马赛克图案的细胞分化规则：由鱼视网膜中的锥形马赛克形成驱动的建模。
DOI：
10.1006/jtbi.1998.0777
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发表时间：
1998
影响因子：
2
通讯作者：
Y. Iwasa
中科院分区：
文献类型：
--
作者：
A. Takesue;A. Mochizuki;Y. Iwasa
我们研究的细胞分化规则，实现稳定形成的规则排列的棋盘图案，例如锥“马赛克”斑马鱼视网膜，或锥光感受器细胞的规则排列的特点。我们考虑的情况下，细胞排列在一个正方形的格子，最初是未分化的。之后，每个细胞都变成两种分化状态之一，受到相邻细胞状态的影响。经历分化的细胞形成“形态发生细胞行”，其通过时间从晶格的一端扫向另一端。这模拟了视网膜的扩展马赛克区域的边缘的向外扫掠，其发生在未分化的感光细胞分化成同心圆，加入马赛克时。我们引入了一个指标来衡量细胞分化规则的能力，从不规则的初始模式产生规则的棋盘图案，并试图描述成功的规则。我们首先展示了六个“保存条件”的重要性，这些条件保证了在一个常规行之后的所有行的完全规则的感光体排列。然后，我们选择了一个额外的六个“优化条件”的配置，一贯表现出的高平均分数的规则。我们还研究了不同配置的响应之间的相互作用的效果。最后，我们研究了形态发生行优先的概念，即产生高分的成功规则倾向于将与新分化细胞（形态发生细胞行中的细胞）中的邻居的一致性视为比与先前分化的邻居的一致性更重要。
We study characteristics of cell-differentiation rules that realize stable formation of regularly arranged checker-board patterns, exemplified by cone "mosaic" zebrafish retina, or the regular arrangement of cone photoreceptor cells. We consider the situation in which cells are arranged on a square lattice and are initially undifferentiated. Later each cell becomes one of the two differentiated states, affected by the state of the neighboring cells. The cells that undergo differentiation form a "morphogenetic cell row" which sweeps from one end to the other end of the lattice through time. This models an outward sweep of the margin of expanding mosaic region of the retina which occurs as undifferentiated photoreceptor cells become differentiated in concentric circles, joining the mosaic. We introduce an index to measure the ability of cell-differentiation rules to generate regular checker-board patterns from irregular initial patterns, and attempt to characterize the successful rules. We first show the importance of six "preservation conditions" which guarantee perfectly regular photoreceptor arrangement for all the rows after a regular row. Then we select an additional six "optimizing conditions" for responses to configuration that are consistently shown by the rules of high average scores. We also examine the effect of interaction between responses to different configurations. Finally we examine the concept of morphogenetic row precedence, i.e. that the successful rules generating a high score tend to treat the consistency with neighbors in the newly differentiated cells (those in the morphogenetic cell row) as more important that the consistency with previously differentiated neighbors.