论文标题
胚胎心脏中扭转C环的形态力学模型
Morphomechanical model of the torsional c-looping in the embryonic heart
论文作者
论文摘要
在分隔过程塑造其四个腔室之前，胚胎心脏是一种直接的管，自发弯曲并扭曲打破左右对称性。特别是，心管经过细胞重塑，在C循环阶段诱导腹侧弯曲和右旋扭转。在这项工作中，我们为心脏管的扭转提出了形态力学模型，该模型表现为非线性弹性身体。我们假设这种自发循环可以建模为机械不稳定性，这是由于组织重塑的几何挫折引起的残余应力的积累，这模仿了心管内的细胞重排。因此，我们对所得的非线性弹性边界值问题进行线性稳定性分析，以确定C循环的发作是管子的纵横比和内部重塑速率的函数。我们执行数值模拟来研究完全非线性的形态过渡，表明软管在几何参数的生理范围内形成了现实的自我接触循环形状。
Before septation processes shape its four chambers, the embryonic heart is a straight tube that spontaneously bends and twists breaking the left-right symmetry. In particular, the heart tube is subjected to a cell remodelling inducing ventral bending and dextral torsion during the c-looping phase. In this work we propose a morphomechanical model for the torsion of the heart tube, that behaves as a nonlinear elastic body. We hypothesize that this spontaneous looping can be modeled as a mechanical instability due to accumulation of residual stresses induced by the geometrical frustration of tissue remodelling, which mimics the cellular rearrangement within the heart tube. Thus, we perform a linear stability analysis of the resulting nonlinear elastic boundary value problem to determine the onset of c-looping as a function of the aspect ratios of the tube and of the internal remodelling rate. We perform numerical simulations to study the fully nonlinear morphological transition, showing that the soft tube develops a realistic self-contacting looped shape in the physiological range of geometrical parameters.
