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Morphoelastic control of gastro-intestinal organogenesis: Theoretical predictions and numerical insights

机译：胃肠器官发生的形态弹性控制：理论预测和数值分析

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摘要

With nine meters in length, the gastrointestinal tract is not only our longest, but also our structurally most diverse organ. During embryonic development, it evolves as a bilayered tube with an inner endodermal lining and an outer mesodermal layer. Its inner surface displays a wide variety of morphological patterns, which are closely correlated to digestive function. However, the evolution of these intestinal patterns remains poorly understood. Here we show that geometric and mechanical factors can explain intestinal pattern formation. Using the nonlinear field theories of mechanics, we model surface morphogenesis as the instability problem of constrained differential growth. To allow for internal and external expansion, we model the gastrointestinal tract with homogeneous Neumann boundary conditions. To establish estimates for the folding pattern at the onset of folding, we perform a linear stability analysis supplemented by the perturbation theory. To predict pattern evolution in the post-buckling regime, we perform a series of nonlinear finite element simulations. Our model explains why longitudinal folds emerge in the esophagus with a thick and stiff outer layer, whereas circumferential folds emerge in the jejunum with a thinner and softer outer layer. In intermediate regions like the feline esophagus, longitudinal and circumferential folds emerge simultaneously. Our model could serve as a valuable tool to explain and predict alterations in esophageal morphology as a result of developmental disorders or certain digestive pathologies including food allergies.
机译：胃肠道长9米，不仅是我们最长的，而且也是我们结构上最多样化的器官。在胚胎发育过程中，它会演变成具有内部内胚层衬里和外部中胚层的双层管。它的内表面表现出各种各样的形态学模式，与消化功能密切相关。然而，这些肠模式的演变仍知之甚少。在这里，我们证明了几何和机械因素可以解释肠道模式的形成。使用力学的非线性场论，我们将表面形态发生建模为受约束的差分增长的不稳定性问题。为了允许内部和外部扩展，我们以均一的Neumann边界条件为胃肠道建模。为了建立折叠开始时折叠模式的估计，我们执行线性稳定性分析，并辅以扰动理论。为了预测后屈曲状态下的模式演化，我们执行了一系列非线性有限元模拟。我们的模型解释了为什么在食管中出现纵向褶皱，外层又厚又硬，而在空肠中出现了圆周褶皱，外层又薄又软。在猫食道这样的中间区域，纵向和周向褶皱同时出现。我们的模型可以作为解释和预测由于发育障碍或某些消化道疾病（包括食物过敏）而导致的食管形态变化的有价值的工具。

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  • 来源
    《Journal of the Mechanics and Physics of Solids》 |2015年第5期|493-510|共18页
  • 作者

    V. Balbi; E. Kuhl; P. Ciarletta;

  • 作者单位

    CNRS and Sorbonne Universites, Universite Paris 6, Institut Jean le Rond d'Alembert, UMR 7190, 4 place Jussieu case 162, 75005 Paris, France;

    Department of Mechanical Engineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA,Department of Bioengineering, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA,Department of Cardiothoracic Surgery, Stanford University, 496 Lomita Mall, Stanford, CA 94305, USA;

    CNRS and Sorbonne Universites, Universite Paris 6, Institut Jean le Rond d'Alembert, UMR 7190, 4 place Jussieu case 162, 75005 Paris, France,MOX, Politecnico di Milano and Fondazione CEN, piazza Leonardo da Vinci 32, 20133 Milano, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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