  In this letter, we develop a framework to study the mechanical response of
athermal amorphous solids via a coupling of mesoscale and microscopic models.
Using measurements of coarse grained quantities from simulations of dense
disordered particulate systems, we present a coherent elasto-plastic model
approach for deformation and flow of yield stress materials. For a given set of
parameters, this model allows to match consistently transient and steady state
features of driven disordered systems under both applied shear-rate and creep
protocols.
