Mathematical Modelling of Mechanotransduction via RhoA Signalling Pathways
Sofie Verhees, Chandrasekhar Venkataraman, Mariya Ptashnyk
我们派生并模拟了一个与Rho GTPase信号通路相关的机械转导的数学模型。 该模型解决了信号过程和细胞力学之间的双向耦合。 提出了一种基于散积表面有限元素的数值方法,用于近似非线性反应扩散方程的耦合系统,在细胞内部和细胞膜上定义,以及弹性方程。 我们的模拟结果说明了新的新兴特征,如动力学对细胞形状的强烈依赖,对基底刚度变化的阈值状反应,以及耦合力学和信号传导可能导致细胞变形的稳健性,导致基板刚度的更大变化,确保机械稳态与实验一致。
We derive and simulate a mathematical model for mechanotransduction related to the Rho GTPase signalling pathway. The model addresses the bidirectional coupling between signalling processes and cell mechanics. A numerical method based on bulk-surface finite elements is proposed for the approximation of the coupled system of nonlinear reaction-diffusion equations, defined inside the cell and on the cell membrane, and the equations of elasticity. Our simulation results illustrate novel emergent fe...