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人工肿瘤中的形状转变:从光滑的褶皱到奇异的折痕。

Shape transition in artificial tumors: from smooth buckles to singular creases.

机构信息

Laboratoire de Physique Statistique, Ecole Normale Supérieure, Paris, France.

出版信息

Phys Rev Lett. 2011 Jul 1;107(1):018103. doi: 10.1103/PhysRevLett.107.018103.

DOI:10.1103/PhysRevLett.107.018103
PMID:21797576
Abstract

Using swelling hydrogels, we study the evolution of a thin circular artificial tumor whose growth is confined at the periphery. When the volume of the outer proliferative ring increases, the tumor loses its initial symmetry and bifurcates towards an oscillatory shape. Depending on the geometrical and elastic parameters, we observe either a smooth large-wavelength undulation of the swelling layer or the formation of sharp creases at the free boundary. Our experimental results as well as previous observations from other studies are in very good agreement with a nonlinear poroelastic model.

摘要

利用肿胀水凝胶,我们研究了一个薄的圆形人工肿瘤的演化过程,该肿瘤的生长受到外周限制。当外层增殖环的体积增加时,肿瘤会失去其初始对称性,并向振荡形状分叉。根据几何和弹性参数,我们观察到肿胀层的平滑大波长波动,或者在自由边界形成尖锐折痕。我们的实验结果以及其他研究的先前观察结果与非线性多孔弹性模型非常吻合。

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