Efficient computational simulation of actin stress fiber remodeling

Abstract

Understanding collagen and stress fiber remodeling is essential for the development of engineered tissues with good functionality. These processes are complex, highly interrelated, and occur over different time scales. As a result, excessive computational costs are required to computationally predict the final organization of these fibers in response to dynamic mechanical conditions. In this study, an analytical approximation of a stress fiber remodeling evolution law was derived. A comparison of the developed technique with the direct numerical integration of the evolution law showed relatively small differences in results, and the proposed method is one to two orders of magnitude faster.

Keywords:

• Actin stress fiber remodeling
• ODE system with periodic coefficients
• analytical approximation
• cyclic strain

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme [FP7/2007-2013/]; REA [grant agreement number 317512].