Sapling Learning Menten equation models the hyperbolic relationship between [S]

Question

Sapling Learning Menten equation models the hyperbolic relationship between [S] and the initial reaction rate (Vo) The Michaelis- for an enzyme catalyzed, understood when comparing three conditions: [SlkcKm. IS Match each statement with the condition that it describes. Km, and [Sp>km Note: 'Rate refers to initial velocity (Vo) where steady state conditions are assumed: [Evotadl refers to the total enzyme concentration, and [Etree] refers to the concentration of free enzyme. Not true for any of these conditions lo [S] condition rarely occurs rate is half of the maximum rate increasing [Esotal will lower Km [ESI is much higher than (Ener1 for most in vivo enzymes

Explanation / Answer

Michaelis–Menten equation is used typically in enzymatic reactions.

V = Vmax*[S] / (Km + [S])

Where

Vmax = max rate velocity

[S] = substrate concentration

Km = Michaelis–Menten constant

V = reaction rate

Michaelis–Menten equation is used typically in enzymatic reactions.

V = Vmax*[S] / (Km + [S])

Where

Vmax = max rate velocity

[S] = substrate concentration

Km = Michaelis–Menten constant

V = reaction rate

then...

a)

S << Km

V = Vmax*[S] / (Km + [S])

V = Vmax*[S] / (Km) can be assumed

meaning that:

[ES] is much lower than [Efree]

and

[Efree] is about equato to Etotal

B)

if [S] = Km

then

V = Vmax*[S] / (Km + [S])

V = Vmax*[S] / ([S]+ [S]) = Vmax *1/2 = of 50%

this implies

half of the active sites filled with S

c)

[S] >> Km

V = Vmax*[S] / (Km + [S])

V = Vmax*[S] / ([S])

V = Vmax

this is independen of [S]

almost all activ esites will be filled.

d)

Not true for any condition is:

increasine [Etotal] will lower Km

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