脊椎动物早期胚胎发生中Wnt信号的数学模拟
A mathematical modelling portrait of Wnt signalling in early vertebrate embryogenesis
摘要：
在早期脊椎动物胚胎发生中有两个阶段的Wnt信号传导：非常早期，母体Wnt信号传导促进背侧发育，稍晚，合子Wnt信号传导促进腹侧和侧中胚层诱导。然而，最近的分子生物学分析揭示了直接Wnt靶基因之间的更复杂性，至少有五个类别。在这里，为了测试这些发现所提出的新的基因调控网络模型的逻辑和动力学，我们使用基于常微分方程（ODE）的数学建模。我们对这个基因调控网络的数学建模表明，一个简化的模型，每类一个“超级基因”，在很大程度上足以描述以前实验观察到的调控行为。
英文摘要：
There are two phases of Wnt signalling in early vertebrate embryogenesis: very early, maternal Wnt signalling promotes dorsal development, and slightly later, zygotic Wnt signalling promotes ventral and lateral mesoderm induction. However, recent molecular biology analysis has revealed more complexity among the direct Wnt target genes, with at least five classes. Here in order to test the logic and the dynamics of a new Gene Regulatory Network model suggested by these discoveries we use mathematical modelling based on ordinary differential equations (ODEs). Our mathematical modelling of this Gene Regulatory Network reveals that a simplified model, with one "super-gene" for each class is sufficient to a large extent to describe the regulatory behaviour previously observed experimentally.
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