O'Connell Michael D, Reeves Gregory T
North Carolina State University Department of Chemical and Biomolecular Engineering, Raleigh, North Carolina, United States of America.
PLoS Comput Biol. 2015 Apr 16;11(4):e1004159. doi: 10.1371/journal.pcbi.1004159. eCollection 2015 Apr.
In a developing embryo, the spatial distribution of a signaling molecule, or a morphogen gradient, has been hypothesized to carry positional information to pattern tissues. Recent measurements of morphogen distribution have allowed us to subject this hypothesis to rigorous physical testing. In the early Drosophila embryo, measurements of the morphogen Dorsal, which is a transcription factor responsible for initiating the earliest zygotic patterns along the dorsal-ventral axis, have revealed a gradient that is too narrow to pattern the entire axis. In this study, we use a mathematical model of Dorsal dynamics, fit to experimental data, to determine the ability of the Dorsal gradient to regulate gene expression across the entire dorsal-ventral axis. We found that two assumptions are required for the model to match experimental data in both Dorsal distribution and gene expression patterns. First, we assume that Cactus, an inhibitor that binds to Dorsal and prevents it from entering the nuclei, must itself be present in the nuclei. And second, we assume that fluorescence measurements of Dorsal reflect both free Dorsal and Cactus-bound Dorsal. Our model explains the dynamic behavior of the Dorsal gradient at lateral and dorsal positions of the embryo, the ability of Dorsal to regulate gene expression across the entire dorsal-ventral axis, and the robustness of gene expression to stochastic effects. Our results have a general implication for interpreting fluorescence-based measurements of signaling molecules.
在发育中的胚胎中,信号分子的空间分布或形态发生素梯度被认为携带位置信息来构建组织模式。最近对形态发生素分布的测量使我们能够对这一假设进行严格的物理测试。在果蝇早期胚胎中,对形态发生素背侧蛋白(Dorsal)的测量显示,其梯度过于狭窄,无法构建整个背腹轴的模式。背侧蛋白是一种转录因子,负责启动沿背腹轴最早的合子模式。在本研究中,我们使用一个符合实验数据的背侧蛋白动力学数学模型,来确定背侧蛋白梯度在整个背腹轴上调节基因表达的能力。我们发现,该模型要在背侧蛋白分布和基因表达模式上与实验数据匹配,需要两个假设。首先,我们假设与背侧蛋白结合并阻止其进入细胞核的抑制剂仙人掌蛋白(Cactus)本身必须存在于细胞核中。其次,我们假设对背侧蛋白的荧光测量反映了游离的背侧蛋白和与仙人掌蛋白结合的背侧蛋白。我们的模型解释了胚胎侧面和背侧位置背侧蛋白梯度的动态行为、背侧蛋白在整个背腹轴上调节基因表达的能力以及基因表达对随机效应的稳健性。我们的结果对于解释基于荧光的信号分子测量具有普遍意义。