Baker R E, Schnell S, Maini P K
Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford, OX1 3LB, UK.
J Math Biol. 2006 Apr;52(4):458-82. doi: 10.1007/s00285-005-0362-2. Epub 2006 Feb 7.
Somites are transient blocks of cells that form sequentially along the antero-posterior axis of vertebrate embryos. They give rise to the vertebrae, ribs and other associated features of the trunk. In this work we develop and analyse a mathematical formulation of a version of the Clock and Wavefront model for somite formation, where the clock controls when the boundaries of the somites form and the wavefront determines where they form. Our analysis indicates that this interaction between a segmentation clock and a wavefront can explain the periodic pattern of somites observed in normal embryos. We can also show that a simplification of the model provides a mechanism for predicting the anomalies resulting from perturbation of the wavefront.
体节是沿着脊椎动物胚胎前后轴依次形成的短暂细胞团块。它们发育成椎骨、肋骨和躯干的其他相关特征。在这项工作中，我们开发并分析了一种用于体节形成的时钟和波前模型版本的数学公式，其中时钟控制体节边界的形成时间，波前决定它们的形成位置。我们的分析表明，这种分割时钟和波前之间的相互作用可以解释正常胚胎中观察到的体节周期性模式。我们还可以表明，该模型的简化提供了一种预测波前扰动导致的异常的机制。
