Incorporating chemical signalling factors into cell-based models of growing epithelial tissues
Incorporating chemical signalling factors into cell-based models of growing epithelial tissues
复制标题
将化学信号因子纳入生长上皮组织的细胞模型中
DOI：
10.1007/s00285-011-0464-y
复制
发表时间：
2012
影响因子：
1.9
通讯作者：
P. Maini
中科院分区：
文献类型：
--
作者：
Aaron M. Smith;R. Baker;David Kay;P. Maini
在本文中，我们提出了一个全面的计算框架内，化学信号因子对生长的上皮组织的影响进行了研究。该方法采用了基于顶点的细胞模型，结合求解器的控制化学方程。顶点模型为有限元法（FEM）提供了一个自然的网格，节点的运动由力的规律决定。采用任意拉格朗日-欧拉公式计算迭代之间的区域移动。细胞增殖和交界处重排的网格上的效果也进行了检查。通过实施细化的网格，我们表明，有限元（FE）近似收敛到一个准确的数值解。在Decapentaplegic（DPP）的背景下，该系统的潜在效用被证明，形态发生在果蝇成虫翅盘的发展中起着至关重要的作用。尽管存在Dpp梯度，但整个翼盘的生长是均匀的。我们使细胞的生长速率依赖于Dpp浓度，并表明在高浓度的区域中增殖事件的数量增加。这使得关于生长控制机制的假设得到严格的检验。我们所描述的方法可以适用于一系列潜在的应用领域，以及其他基于细胞的模型与指定的节点运动，以准确地探测上皮组织中的形态发生素的作用。
In this paper we present a comprehensive computational framework within which the effects of chemical signalling factors on growing epithelial tissues can be studied. The method incorporates a vertex-based cell model, in conjunction with a solver for the governing chemical equations. The vertex model provides a natural mesh for the finite element method (FEM), with node movements determined by force laws. The arbitrary Lagrangian–Eulerian formulation is adopted to account for domain movement between iterations. The effects of cell proliferation and junctional rearrangements on the mesh are also examined. By implementing refinements of the mesh we show that the finite element (FE) approximation converges towards an accurate numerical solution. The potential utility of the system is demonstrated in the context of Decapentaplegic (Dpp), a morphogen which plays a crucial role in development of the Drosophila imaginal wing disc. Despite the presence of a Dpp gradient, growth is uniform across the wing disc. We make the growth rate of cells dependent on Dpp concentration and show that the number of proliferation events increases in regions of high concentration. This allows hypotheses regarding mechanisms of growth control to be rigorously tested. The method we describe may be adapted to a range of potential application areas, and to other cell-based models with designated node movements, to accurately probe the role of morphogens in epithelial tissues.
细胞重排的力学基础。
DOI：
10.1242/dev.109.2.373
发表时间：
1990
期刊：
Development (Cambridge, England)
影响因子：
--
作者：
Weliky,M;Oster,G
通讯作者：
Oster,G