Glycogen synthase

Glycogen synthase (UDP-glucose-glycogen glucosyltransferase) converts glucose to glycogen. It takes short polymers of glucose and converts them into long polymers one by one into a polymeric chain for storage as glycogen.

Chemical equation

$UDPG + Glucose \rightarrow UDP + Glycogen$

Rate equation

MWC model (Monod-Wyman-Changeux model) is used to model the reaction mechanism of this enzyme.

$\frac{K_{cat,r}[GS]n\frac{[UDPG]}{K_{UDPG}} \left( 1 + \frac{[UDPG]}{K_{UDPG}} + \frac{[ATP]}{K'_{r,ATP}} \right)^{n-1}}{\left( 1 + \frac{[UDPG]}{K_{UDPG}} + \frac{[ATP]}{K'_{ATP}} \right)^n L_{0} \left( \frac{1 + \frac{[Glc6P]}{K_{t,Glc6P}} + \frac{[ATP]}{K_{t,ATP}} }{1 + \frac{[Glc6P]}{K_{r,Glc6P}} + \frac{[ATP]}{K_{r,ATP}} } \right)^n + \left( 1 + \frac{[UDPG]}{K_{UDPG}} + \frac{[ATP]}{K'_{r,ATP}} \right)^n }$