Muñoz José J, Albo Santiago
Department of Applied Mathematics III, Laboratori de Càlcul Numèric (LaCàN) and Universitat Politècnica de Catalunya (UPC), 08036 Barcelona, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):012708. doi: 10.1103/PhysRevE.88.012708. Epub 2013 Jul 10.
The measured viscoelastic properties of biological tissues is the result of the passive and active response of the cells. We propose an evolution law of the remodeling process in the cytoskeleton which is able to mimic the viscous properties of biological cellular tissues. Our model is based on dynamical changes of the resting length. We show that under the small strain regime, the linear rheology models are recovered, with the relaxation time being replaced by the cell resistance to remodel. We implement the one-dimensional model into network systems of two and three dimensions, and show that the same conclusions may be drawn for those systems.
生物组织的测量粘弹性特性是细胞被动和主动响应的结果。我们提出了一种细胞骨架重塑过程的演化规律，它能够模拟生物细胞组织的粘性特性。我们的模型基于静息长度的动态变化。我们表明，在小应变 regime 下，线性流变学模型得以恢复，其中弛豫时间被细胞重塑阻力所取代。我们将一维模型应用于二维和三维网络系统，并表明对于这些系统可以得出相同的结论。
