Before revision:  Experiments with adherent microtubules allow us to quantify the hysteresis as a function of adhesion and elasticity parameters . Our model also helps guide the derivation of a self-consistent continuum boundary condition at the interface of adherent mechanical systems .
After revision:  Experiments with adherent microtubules allow us to quantify the hysteresis as a function of adhesion and elasticity parameters of the system. This allows us to derive a scaling relation that preserves hysteresis at different levels of granularity while resolving a seeming paradox of lattice trapping in the continuum limit of a discrete fracture process. Finally, to verify our theory, we use new experiments to demonstrate and measure adhesion hysteresis in bundled microtubules .