 It also allows a precise characterization of the parameter space region of complex balance solutions we refer to as the Horn set. Future directions may involve detection or design of networks having multiple equilibria, or the use of complex balance condition to provide stabilization via feed-back control of open reaction systems .
<coherence>  It also allows a precise characterization of the parameter space region of complex balance solutions we refer to as the Horn set. Future directions may involve detection or design of networks having multiple equilibria, or the use of complex balance condition to provide stabilization via feed-back control of open reaction systems .
 The developed notions and results are illustrated through examples .