Inelastic mechanics of sticky biopolymer networks

TL;DR

This paper introduces a minimal extension of the GWLC model to describe the nonlinear inelastic mechanics of sticky biopolymer networks, capturing key experimental behaviors like stress stiffening and fluidization.

Contribution

It presents a new kinetic model that incorporates bond breaking and reforming dynamics into the GWLC framework for better inelastic biopolymer network modeling.

Findings

Model reproduces power-law rheology

Captures stress stiffening and fluidization

Explains cyclic softening effects

Abstract

We propose a physical model for the nonlinear inelastic mechanics of sticky biopolymer networks with potential applications to inelastic cell mechanics. It consists in a minimal extension of the glassy wormlike chain (GWLC) model, which has recently been highly successful as a quantitative mathematical description of the viscoelastic properties of biopolymer networks and cells. To extend its scope to nonequilibrium situations, where the thermodynamic state variables may evolve dynamically, the GWLC is furnished with an explicit representation of the kinetics of breaking and reforming sticky bonds. In spite of its simplicity the model exhibits many experimentally established non-trivial features such as power-law rheology, stress stiffening, fluidization, and cyclic softening effects.