Lubkin S R, Murray J D
Department of Applied Mathematics, University of Washington, Seattle 98195-2420, USA.
J Math Biol. 1995;34(1):77-94. doi: 10.1007/BF00180137.
The lung is a highly branched fluid-filled structure, that develops by repeated dichotomous branching of a single bud off the foregut, of epithelium invaginating into mesenchyme. Incorporating the known stress response of developing lung tissues, we model the developing embryonic lung in fluid mechanical terms. We suggest that the repeated branching of the early embryonic lung can be understood as the natural physical consequence of the interactions of two or more plastic substances with surface tension between them. The model makes qualitative and quantitative predictions, as well as suggesting an explanation for such observed phenomena as the asymmetric second branching of the embryonic bronchi.
肺是一个高度分支的充满液体的结构,它由前肠的单个芽反复二分分支发育而成,上皮细胞向内凹陷进入间充质。结合发育中的肺组织已知的应激反应,我们从流体力学角度对发育中的胚胎肺进行建模。我们认为,早期胚胎肺的反复分支可以理解为两种或更多种具有表面张力的可塑性物质相互作用的自然物理结果。该模型做出了定性和定量的预测,并对胚胎支气管不对称二次分支等观察到的现象提出了解释。