  Elasto-plastic models are among the most successful ways to study the
critical properties of the plastic yielding transition of amorphous solids.
Typically these models are studied under a condition of constant transition
rates from one plastic configuration to another, and in this form they predict
the existence of well defined critical exponents that display universality, in
the same sense that in standard equilibrium phase transitions. I show however
that very naturally the transition rates must not be taken as a constant, but
dependent of the local stress excess above the critical value. This
modification in the model is seen to affect the values of some of the exponents
of the transition, concretely, of the dynamical exponents that are related to
the speed at which the system is driven. I argue about the reason for this
dependence, claiming that it is due to the quasi-mean field nature of the
plastic yielding transition originated in the fact that elastic interactions
are long range.
