Papillary networks in the dermal-epidermal junction of skin: A biomechanical model
Papillary networks in the dermal-epidermal junction of skin: A biomechanical model
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DOI：
10.1016/j.mechrescom.2011.12.001
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发表时间：
2012-06-01
影响因子：
2.4
通讯作者：
Ben Amar, Martine
中科院分区：
文献类型：
--
作者：
Ciarletta, Pasquale;Ben Amar, Martine
指状突起的复杂网络表征了人类皮肤的真皮-表皮连接。虽然在胎儿发育期间形成，但这种真皮乳头在成年期进化，通常是对病理条件的反应。本工作的目的是从力学角度研究皮肤双轴乳头状网络的出现。为此，我们定义了一个生物力学模型，考虑到体积的增长和真皮和表皮的微观结构特性。一个标量流函数被引入到产生不可压缩的转换，并用于定义边值弹性问题的变分制剂。我们表明，不相容的层的生长可以诱导分叉的弹性稳定性驱动真皮乳头的形成。发现这种界面不稳定性既取决于几何约束又取决于蒙皮组件的机械性能。结果提供了皮肤形态发生的力学解释，与可能的应用程序在软分层材料的微图案制造。(C)2011爱思唯尔有限公司保留所有权利。
Complex networks of finger-like protrusions characterize the dermal-epidermal junction of human skin. Although formed during the foetal development, such dermal papillae evolve in adulthood, often in response to a pathological condition. The aim of this work is to investigate the emergence of biaxial papillary networks in skin from a mechanical perspective. For this purpose, we define a biomechanical model taking into account the volumetric growth and the microstructural properties of the dermis and the epidermis. A scalar stream function is introduced to generate incompressible transformations, and used to define a variational formulation of the boundary value elastic problem. We demonstrate that incompatible growth of the layers can induce a bifurcation of the elastic stability driving the formation of dermal papillae. Such an interfacial instability is found to depend both on the geometrical constraints and on the mechanical properties of the skin components. The results provide a mechanical interpretation of skin morphogenesis, with possible applications for micropattern fabrication in soft layered materials. (C) 2011 Elsevier Ltd. All rights reserved.