  We aim to identify the control principles governing the adaptable formation
of non-equilibrium structures in actomyosin networks. We build a
phenomenological model and predict that biasing the energy dissipated by
molecular motors should effectively renormalize the motor-mediated interactions
between actin filaments. Indeed, using methods from large deviation theory, we
demonstrate that biasing energy dissipation is equivalent to modulating the
motor rigidity and results in an aster-to-bundle transition. From the
simulation statistics, we extract a relation between the biasing parameter and
the corresponding normalized motor rigidity. This work elucidates the
relationship between energy dissipation, effective interactions, and pattern
formation in active biopolymer networks, providing a control principle of
cytoskeletal structure and dynamics.
