早期胚胎发育的规模不变性

Miloš Nikolić, Victoria Antonetti, Feng Liu, Gentian Muhaxheri, Mariela D. Petkova, Martin Scheeler, Eric M. Smith, William Bialek, Thomas Gregor
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引用次数: 0

摘要

果蝇的体型是由少数几个基因的表达决定的。我们的研究表明,其中几个基因的表达空间模式与胚胎的大小成精确比例。具体来说,离散位置标记(如条纹图案中的峰值)沿前后轴的绝对位置与胚胎长度成正比,精确度优于 1%。此外,分级表达模式提供的位置信息(以比特为单位)可分解为分数或比例位置信息和绝对位置或胚胎长度信息;所有可用信息都是关于比例位置的,准确率同样为 ~1%。这些观察结果表明,基础遗传网络在更深层次的数学意义上表现出尺度不变性。要认真对待这一数学声明,需要网络动力学有一个零模式,这与该系统的许多其他观察结果有关。
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Scale invariance in early embryonic development
The body plan of the fruit fly is determined by the expression of just a handful of genes. We show that the spatial patterns of expression for several of these genes scale precisely with the size of the embryo. Concretely, discrete positional markers such as the peaks in striped patterns have absolute positions along the anterior-posterior axis that are proportional to embryo length, with better than 1% accuracy. Further, the information (in bits) that graded patterns of expression provide about position can be decomposed into information about fractional or scaled position and information about absolute position or embryo length; all of the available information is about scaled position, again with ~1% accuracy. These observations suggest that the underlying genetic network exhibits scale invariance in a deeper mathematical sense. Taking this mathematical statement seriously requires that the network dynamics have a zero mode, which connects to many other observations on this system.
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