Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands.
Research Group Computational Mathematics (CMAT), Department of Mathematics and Statistics, University of Hasselt, Hasselt, Belgium.
J Math Biol. 2023 Mar 24;86(4):59. doi: 10.1007/s00285-023-01893-w.
We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants. We formulate stability conditions depending on the decay rate of signaling molecules for both the continuous partial differential equations-based problem and the (semi-)discrete representation. We analyze the difference and convergence between the resulting spatial eigenvalues from the continuous and semi-discrete problems.
我们研究了一种用于烧伤后收缩的二维模型的稳定性分析。该模型基于永久性变形的形态弹性力学，并结合了一个包含细胞密度、胶原蛋白密度和趋化因子浓度的化学生物学模型。我们根据信号分子的衰减率为基于连续偏微分方程的问题和（半）离散表示制定了稳定性条件。我们分析了连续和离散问题得出的空间特征值之间的差异和收敛性。
