Research Group on Numerical Methods for Engineering (GNUM), Departament of Mechanical and Mechatronical Engineering, Universidad Nacional de Colombia, Colombia.
J Theor Biol. 2013 Jan 21;317:366-76. doi: 10.1016/j.jtbi.2012.09.015. Epub 2012 Sep 26.
This article develops a model of the appearance and location of the primary centers of ossification in the calvaria. The model uses a system of reaction-diffusion equations of two molecules (BMP and Noggin) whose behavior is of type activator-substrate and its solution produces Turing patterns, which represents the primary ossification centers. Additionally, the model includes the level of cell maturation as a function of the location of mesenchymal cells. Thus the mature cells can become osteoblasts due to the action of BMP2. Therefore, with this model, we can have two frontal primary centers, two parietal, and one, two or more occipital centers. The location of these centers in the simplified computational model is highly consistent with those centers found at an embryonic level.
本文建立了颅骨初级骨化中心的外观和位置模型。该模型使用了两种分子（BMP 和 Noggin）的反应-扩散方程系统，其行为类型为激活物-基质，其解产生图灵模式，代表初级骨化中心。此外，该模型还将细胞成熟度水平作为间充质细胞位置的函数。因此，成熟细胞可以通过 BMP2 的作用成为成骨细胞。因此，通过这个模型，我们可以有两个额骨初级中心，两个顶骨中心，一个、两个或更多的枕骨中心。这些中心在简化计算模型中的位置与胚胎水平上发现的中心高度一致。
