Dynamic reference-state resetting in the growing-tissue model

Develop a version of the active viscoelastic continuum model for a growing tissue in which the reference configuration is reset dynamically, so that the constitutive relation becomes effectively fluid at long times.

Background

The model uses a fixed reference configuration and assumes that elastic stress relaxes slowly relative to tissue growth. In the perennially growing state, however, the influence of the initial configuration vanishes asymptotically, suggesting that the reference configuration could be reset to the current configuration and the tissue could restart from a stress-free state.

The paper identifies such dynamic resetting as a relaxation mechanism that would make the constitutive behavior nominally fluid at long times, but does not formulate or analyze the resulting evolution law.