Mechanisms and Measurements of Scale Invariance of Morphogen Gradients.
Mechanisms and Measurements of Scale Invariance of Morphogen Gradients.
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DOI：
10.1007/978-1-4939-8772-6_14
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Umulis D
中科院分区：
文献类型：
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作者：
Huang Y;Umulis D
形态梯度为底层细胞提供位置信息，将信息转化为差异基因表达，最终转化为不同的细胞命运。比例不变性是形态生成的梯度与区域的大小成比例地调整的属性。形态原梯度或分化模式的尺度不变性是同一物种内个体之间以及不同物种中同源组织或结构之间观察到的普遍现象。为了确定一种模式是否具有比例不变性，其他人和我们开发了梯度缩放的定义和度量。这些因素包括逐点和全局缩放误差以及全局缩放能力。此外，平流-扩散-反应模型的标度不变性存在许多数学条件，这些条件揭示了标度机理。在此，我们为形态梯度的尺度不变性的建模和测量提供了更深层次的视角。
Morphogen gradients provide positional information to underlying cells that translate the information into differential gene expression and eventually different cell fates. Scale invariance is the property where the gradients of the morphogen adjust proportionately to the size of the domain. Scale invariance of morphogen gradients or patterns of differentiation is a common phenomenon observed between individuals within the same species and between homologous tissues or structures in different species. To determine whether or not a pattern is scale invariant, others and we have developed definitions and measurements of gradient scaling. These include point-wise and global scaling errors as well as global scaling power. Furthermore, there are a number of mathematical conditions for scale invariance of advection-diffusion-reaction models that inform mechanisms of scaling. Herein we provide a deeper perspective on modeling and measurement of scale invariance of morphogen gradients.