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A Theoretical Model: Elastic Analysis of the Evolution of the Crypt Opening Between the Fundic Gland and the Pyloric Gland

机译:一个理论模型:眼底腺和幽门腺之间的隐窝开口演变的弹性分析

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摘要

In recent years, with the development of magnified endoscopic technology, the microstructure of the gastric mucosa surface has been widely studied. However, it is unclear why the crypt opening shape of the fundic gland is different from that of the pyloric gland. We attempted to explain the problem by means of physical concepts, mathematical tools and some pathological perspectives. We first constructed an “L” type tubular structure on the basis of the pathology of the gastric mucosa and some geometric principles and then analyzed the distortion of marginal crypt epithelia after we added cells in the model via the mechanism of continuous regeneration. Finally, we determined that the crypt opening shape of the pyloric gland is derived mathematically from that of the fundic gland with the help of the idea of the Riemann sum. According to the derivation of the Euler force, it is possible that the epithelial-mesenchymal transition (EMT) protects the integrity of the gastric mucosa. Our model suggests that the evolution of the fundic gland and the pyloric gland triggers the EMT via elastic deformation. The basic logic of our model is the principle of least action.
机译:近年来,随着放大内窥镜技术的发展,对胃粘膜表面的微观结构进行了广泛的研究。然而,不清楚为什么胃底的隐窝开口形状与幽门腺的隐窝开口形状不同。我们试图通过物理概念,数学工具和一些病理学观点来解释问题。我们首先根据胃粘膜的病理学和一些几何原理构建了一个“ L”型管状结构,然后在通过连续再生机制向模型中添加细胞后分析了边缘隐窝上皮的变形。最后,我们借助于黎曼和的思想,确定了幽门腺的隐窝开口形状是从眼底腺的数学开口得出的。根据欧拉力的推导,上皮-间质转化(EMT)可能保护胃粘膜的完整性。我们的模型表明,胃底和幽门的演变通过弹性变形触发了EMT。我们模型的基本逻辑是最小行动原则。

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