Buckling of a growing tissue and the emergence of two-dimensional patterns.
Buckling of a growing tissue and the emergence of two-dimensional patterns.
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DOI：
10.1016/j.mbs.2013.09.008
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发表时间：
2013-12
影响因子：
4.3
通讯作者：
Jensen OE
中科院分区：
文献类型：
--
作者：
Nelson MR;King JR;Jensen OE
我们模拟了在可变形基质上培养的肠道上皮细胞的生长。生长产生屈曲不稳定性，有助于体内隐窝的形成。机械性能的变化对最终的结构几乎没有影响。结构由生长模式和与下面地层的相互作用控制。在生物学的许多领域中，生物生长过程和相关的残余应力的产生被认为是组织屈曲和模式选择的驱动机制。在这里，我们开发了一个二维薄板理论来模拟培养的肠上皮细胞在可变形基质上的生长，目的是阐明组织工程师如何最好地重建哺乳动物肠壁中发现的规则内陷阵列（lieberk<e:1>隐窝）。我们扩展了标准von Kármán方程，以纳入板的机械性能和细胞增殖施加到衬底的表面应力的不均匀性。我们在数值上确定了均匀细胞生长下均匀板的结构，并展示了如何将其系住在下面的弹性基础上，以促进高阶屈曲结构。然后，我们研究了基质局部软化和细胞生长的空间模式的独立影响，证明（在二维框架内，与一维模型的预测相反）生长模式构成了比材料不均匀性更可行的控制隐窝分布的机制。
We model the growth of gut epithelial cells cultured upon a deformable substrate. Growth generates buckling instabilities, contributing to crypt formation in vivo. Variations in mechanical properties have little effect on resulting configurations. Configurations are controlled by growth patterns & interactions with strata below. The process of biological growth and the associated generation of residual stress has previously been considered as a driving mechanism for tissue buckling and pattern selection in numerous areas of biology. Here, we develop a two-dimensional thin plate theory to simulate the growth of cultured intestinal epithelial cells on a deformable substrate, with the goal of elucidating how a tissue engineer might best recreate the regular array of invaginations (crypts of Lieberkühn) found in the wall of the mammalian intestine. We extend the standard von Kármán equations to incorporate inhomogeneity in the plate’s mechanical properties and surface stresses applied to the substrate by cell proliferation. We determine numerically the configurations of a homogeneous plate under uniform cell growth, and show how tethering to an underlying elastic foundation can be used to promote higher-order buckled configurations. We then examine the independent effects of localised softening of the substrate and spatial patterning of cellular growth, demonstrating that (within a two-dimensional framework, and contrary to the predictions of one-dimensional models) growth patterning constitutes a more viable mechanism for control of crypt distribution than does material inhomogeneity.
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DOI：
10.1073/pnas.1217391110
发表时间：
2013-06-25
影响因子：
11.1
作者：
Ben Amar, Martine;Jia, Fei
通讯作者：
Jia, Fei
影响因子：
3.5
作者：
Edwards, Carina M.;Chapman, S. Jonathan
通讯作者：
Chapman, S. Jonathan
影响因子：
5.4
作者：
Buske, Peter;Przybilla, Jens;Galle, Joerg
通讯作者：
Galle, Joerg
影响因子：
8.6
作者：
Hannezo, E.;Prost, J.;Joanny, J. -F.
通讯作者：
Joanny, J. -F.
影响因子：
8.6
作者：
Basan, Markus;Joanny, Jean-Francois;Risler, Thomas
通讯作者：
Risler, Thomas