Formation of actin networks depends on the relative concentration of
actin crosslinkers in a solution.  Experiments by Wachsstock et al.
show when the crosslinker alpha-actinin is added to a solution of
actin filaments, the filaments tend to align with one another and
the resulting network behaves more like a liquid than a solid.  I
will try to explain how an increase in crosslinker concentration
affects the "states" of the crosslinker based on the underlying
chemical reactions.  The chemical reactions lead to a system of
Ordinary Differential Equations (ODE's) that produce the equilibrium
conditions for the system.  The equilibria are then found through both
graphical and algebraic analyses.  The results suggest that saturation
of doubly bound crosslinkers influences the formation of actin networks.