Biomechanical modelling of colorectal crypt budding and fission

Biomechanical modelling of colorectal crypt budding and fission
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DOI:
10.1007/s11538-007-9199-8
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发表时间:
2007-08-01
影响因子:
3.5
通讯作者:
Chapman, S. Jonathan
Chapman, S. Jonathan
中科院分区:
数学4区
文献类型:
--
作者:
Edwards, Carina M.;Chapman, S. Jonathan

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本文提出了一种结肠小窝的生物力学模型,称为隐窝。采用连续体方法,将隐窝上皮模拟为生长的梁,通过细胞键连接到下层板层,从而在层内产生张力。这些细胞附着物被认为是粘弹性的,因此允许细胞沿着隐窝前进。结果表明:净增殖的增加(即细胞产量减去凋亡)、增殖室的扩大、细胞与下层的附着强度的增加、或者细胞生长或细胞结合速度的改变的任何组合都可能产生组织的屈曲。这些变化都可以由Wnt级联的激活突变产生,这被普遍认为是结直肠癌的第一个基因变化,随后的变形、萌芽和隐窝分裂是腺瘤隐窝的观察特征。
This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be viscoelastic thus allowing for cell progression along the crypt. It is shown that any combination of: an increase in net proliferation (i.e. cell production minus apoptosis), an enlargement of the proliferative compartment, an increase in the strength of the cellular attachment to the underlying lamina, or a change in the rate of cell growth or cell bonding may generate buckling of the tissue. These changes can all be generated by an activating mutation of the Wnt cascade, which is generally accepted to be the first genetic change in colorectal cancer, with subsequent deformation, budding, and crypt fission an observed feature of the adenomatous crypt.