########################################################### # # Dimensionless Michaelis-Menten Model for substrate s # and complex c. On physical grounds # # k2 > k1 # # Here # # s = concentration of substrate # c = concentration of complex # # Enzyme concentration e = 1-c # # ########################################################### # # parameter values defining model # p k1=1,k2=4,eps=0.05 # # function definitions # f1(s,c)=k1*c-s*(1-c) f2(s,c)=(-k2*c+s*(1-c))/eps # # differential equations # s'=f1(s,c) c'=f2(s,c) # # initial conditions (optional) # s(0)=1 c(0)=0 # # # Numerical and graphical parameters go here: # # (note: dt is too large initially. Must be decreased!) # @ total=40,xlo=0,xhi=40,ylo=0,yhi=4,dt=0.05,maxstor=20000 # d