  We develop a percolation model motivated by recent experimental studies of
gels with active network remodeling by molecular motors. This remodeling was
found to lead to a critical state reminiscent of random percolation (RP), but
with a cluster distribution inconsistent with RP. Our model not only can
account for these experiments, but also exhibits an unusual type of mixed phase
transition: We find that the transition is characterized by signatures of
criticality, but with a discontinuity in the order parameter.
