Adding Adhesion to a Chemical Signaling Model for Somite Formation

Adding Adhesion to a Chemical Signaling Model for Somite Formation
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DOI:
10.1007/s11538-008-9350-1
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发表时间:
2009-01-01
影响因子:
3.5
通讯作者:
Sherratt, Jonathan A.
Sherratt, Jonathan A.
中科院分区:
数学4区
文献类型:
--
作者:
Armstrong, Nicola J.;Painter, Kevin J.;Sherratt, Jonathan A.

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体节是脊椎动物早期发育过程中沿神经管两侧形成的中胚层细胞的凝聚体。它们是最早的周期性模式之一,并产生重复的结构,如脊椎。关于体节形成的机制,已经提出了许多理论。例如,在“时钟和波前”模型中(库克和塞曼在J.Theor.比奥尔。58:455-476,1976),细胞振荡器耦合到沿前后轴前进的确定波,用于将细胞分组为推定的体节。最近,Maini和他的同事开发并分析了一个化学信号模型(Collier等人。在J·西奥。比奥尔。207:305-316,2000;Schnell等人。在C.R.Biol。325:179-189,2002;McInerney等人。数学课上。地中海医院。比奥尔。21:85-113,2004),具有夹带动力学的两个化学调节器的方程。其中一种化学物质被认为是一种体细胞因子,它被认为是通过影响细胞与细胞的黏附而转化为细胞聚集的模式。在这里,作者提出了这个模型的一个扩展,它包括一个关于粘附性细胞种群的显式方程。它们基于先前为黏附驱动的细胞分选开发的模型,通过细胞感应区上的积分表示细胞黏附(Armstrong等人。在J·西奥。比奥尔。243:98-113,2006)。扩展的模型能够再现观察到的细胞聚集体的模式,但仅在一定的参数限制下。这提供了对化学模型适用所需条件的更全面的理解。此外,将该模型进一步扩展到包括单独的细胞亚群,能够重现观察到的体节分化为单独的前半部和后半部。
Somites are condensations of mesodermal cells that form along the two sides of the neural tube during early vertebrate development. They are one of the first instances of a periodic pattern, and give rise to repeated structures such as the vertebrae. A number of theories for the mechanisms underpinning somite formation have been proposed. For example, in the "clock and wavefront" model (Cooke and Zeeman in J. Theor. Biol. 58:455-476, 1976), a cellular oscillator coupled to a determination wave progressing along the anterior-posterior axis serves to group cells into a presumptive somite. More recently, a chemical signaling model has been developed and analyzed by Maini and coworkers (Collier et al. in J. Theor. Biol. 207:305-316, 2000; Schnell et al. in C. R. Biol. 325:179-189, 2002; McInerney et al. in Math. Med. Biol. 21:85-113, 2004), with equations for two chemical regulators with entrained dynamics. One of the chemicals is identified as a somitic factor, which is assumed to translate into a pattern of cellular aggregations via its effect on cell-cell adhesion. Here, the authors propose an extension to this model that includes an explicit equation for an adhesive cell population. They represent cell adhesion via an integral over the sensing region of the cell, based on a model developed previously for adhesion driven cell sorting (Armstrong et al. in J. Theor. Biol. 243:98-113, 2006). The expanded model is able to reproduce the observed pattern of cellular aggregates, but only under certain parameter restrictions. This provides a fuller understanding of the conditions required for the chemical model to be applicable. Moreover, a further extension of the model to include separate subpopulations of cells is able to reproduce the observed differentiation of the somite into separate anterior and posterior halves.