  We describe the oligosaccharides-exchange dynamics performed by so-called
D-enzymes on polysaccharides. To mimic physiological conditions, we treat this
process as an open chemical network by assuming some of the polymer
concentrations fixed (chemostatting). We show that three different long-time
behaviors may ensue: equilibrium states, nonequilibrium steady states, and
continuous growth states. We dynamically and thermodynamically characterize
these states and emphasize the crucial role of conservation laws in identifying
the chemostatting conditions inducing them.
