Differentiation and replication of spots in a reaction-diffusion system with many chemicals
Differentiation and replication of spots in a reaction-diffusion system with many chemicals
复制标题
具有多种化学物质的反应扩散系统中斑点的分化和复制
DOI：
10.1209/epl/i2001-00500-3
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
K. Kaneko
中科院分区：
文献类型：
--
作者：
H. Takagi;K. Kaneko
通过使用自我复制点扩展格雷-斯科特模型来研究反应扩散方程中点的复制和分化，以包括对具有许多化学物质的系统进行建模所需的许多自由度。通过检查许多可能的反应网络，该模型的行为分为三种类型：同质固定点的复制、振荡点的复制以及与“多能点”的分化。这些多能点要么复制，要么分化成具有不同定点动态的其他类型的点，结果形成不均匀的点图案。从化学多样性的损失和局部柯尔莫哥洛夫-西奈熵的减少来分析斑点的分化过程。还讨论了结果与发育细胞生物学和干细胞的相关性。
The replication and differentiation of spots in reaction-diffusion equations are studied by extending the Gray-Scott model with self-replicating spots to include many degrees of freedom needed to model systems with many chemicals. By examining many possible reaction networks, the behavior of this model is categorized into three types: replication of homogeneous fixed spots, replication of oscillatory spots, and differentiation from "multipotent spots" . These multipotent spots either replicate or differentiate into other types of spots with different fixed-point dynamics, and, as a result, an inhomogeneous pattern of spots is formed. This differentiation process of spots is analyzed in terms of the loss of chemical diversity and decrease of the local Kolmogorov-Sinai entropy. The relevance of the results to developmental cell biology and stem cells is also discussed.