当前位置: X-MOL 学术J. Math. Biol. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Evaluation of BMP-mediated patterning in a 3D mathematical model of the zebrafish blastula embryo.
Journal of Mathematical Biology ( IF 1.9 ) Pub Date : 2019-11-26 , DOI: 10.1007/s00285-019-01449-x
Linlin Li 1 , Xu Wang 2 , Mary C Mullins 3 , David M Umulis 1, 2
Affiliation  

Bone Morphogenetic Proteins (BMPs) play an important role in dorsal-ventral (DV) patterning of the early zebrafish embryo. BMP signaling is regulated by a network of extracellular and intracellular factors that impact the range and signaling of BMP ligands. Recent advances in understanding the mechanism of pattern formation support a source-sink mechanism, however it is not clear how the source-sink mechanism shapes patterns in 3D, nor how sensitive the pattern is to biophysical rates and boundary conditions along both the anteroposterior (AP) and DV axes of the embryo. We propose a new three-dimensional growing Partial Differential Equation (PDE)-based model to simulate the BMP patterning process during the blastula stage. This model provides a starting point to elucidate how different mechanisms and components work together in 3D to create and maintain the BMP gradient in the embryo. We also show how the 3D model fits the BMP signaling gradient data at multiple time points along both axes. Furthermore, sensitivity analysis of the model suggests that the spatiotemporal patterns of Chordin and BMP ligand gene expression are dominant drivers of shape in 3D and more work is needed to quantify the spatiotemporal profiles of gene and protein expression to further refine the models.

中文翻译:

在斑马鱼囊胚的 3D 数学模型中评估 BMP 介导的模式。

骨形态发生蛋白 (BMPs) 在早期斑马鱼胚胎的背腹侧 (DV) 模式中发挥重要作用。BMP 信号由影响 BMP 配体范围和信号的细胞外和细胞内因子网络调节。理解模式形成机制的最新进展支持源-汇机制,但是尚不清楚源-汇机制如何在 3D 中塑造模式,也不清楚该模式对前后 (AP) 的生物物理速率和边界条件有多敏感) 和胚胎的 DV 轴。我们提出了一种新的基于三维生长偏微分方程 (PDE) 的模型来模拟囊胚阶段的 BMP 图案化过程。该模型为阐明不同机制和组件如何在 3D 中协同工作以创建和维持胚胎中的 BMP 梯度提供了一个起点。我们还展示了 3D 模型如何在两个轴的多个时间点拟合 BMP 信号梯度数据。此外,模型的敏感性分析表明,Chordin 和 BMP 配体基因表达的时空模式是 3D 形状的主要驱动因素,需要更多的工作来量化基因和蛋白质表达的时空分布,以进一步完善模型。
更新日期:2019-11-01
down
wechat
bug