The Michaelis-Menten model describes the kinetics of enzyme mediated reactions:where S = s...

The Michaelis-Menten model describes the kinetics of enzyme mediated reactions:

where S = substrate concentration (moles/L), υm = maximum uptake rate (moles/L/d), and ks = the half-saturation constant, which is the substrate level at which uptake is half of the maximum [moles/L]. If the initial substrate level at t = 0 is S0, this differential equation can be solved for

S = S0 - Vmt + ks ln(S0/S)

Develop an M-file to generate a plot of S versus t for the case where S0 = 8 moles/L, υm = 0.7 moles/L/d, and ks = 2.5 moles/L.