论文标题
为羽毛原始模型建模的趋化性和生长概龄学耦合
Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning
论文作者
论文摘要
我们提出了一个新的数学模型，用于在可变形的多孔培养基中进行皮肤细胞群与成纤维细胞生长因子和骨形态发生蛋白的相互作用。羽毛原始图案的方程式是基于K.J.的工作。 Painter等。 [J。理论。 Biol。，437（2018）225--238]。我们执行线性稳定性分析，以识别耦合机制中的相关参数，重点是无限菌株。我们还将模型扩展到非线性毛弹性的情况，并通过变形梯度的Lee分解来包括固体生长。我们在2D和3D中介绍了一些说明性的计算示例，并简要讨论了量身定制的有效求解器的设计。
We propose a new mathematical model for the interaction of skin cell populations with fibroblast growth factor and bone morphogenetic protein, occurring within deformable porous media. The equations for feather primordia pattering are based on the work by K.J. Painter et al. [J. Theoret. Biol., 437 (2018) 225--238]. We perform a linear stability analysis to identify relevant parameters in the coupling mechanisms, focusing in the regime of infinitesimal strains. We also extend the model to the case of nonlinear poroelasticity and include solid growth by means of Lee decompositions of the deformation gradient. We present a few illustrative computational examples in 2D and 3D, and briefly discuss the design of tailored efficient solvers.
