Enzyme Kinetics: Understanding Enzyme II and the Michaelis-Menten Equation - Prof. Rachel , Study notes of Biochemistry

An in-depth exploration of enzyme kinetics, focusing on enzyme ii and the michaelis-menten equation. Topics include the importance of enzyme kinetics, steady-state kinetics, and inhibition of enzyme activity. Students are encouraged to read the assigned material, engage with web resources, and complete homework problem set #5.

Typology: Study notes

Pre 2010

Uploaded on 03/18/2009

koofers-user-7dm
koofers-user-7dm 🇺🇸

10 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
1
BIOC 440/ Lecture #13 1
“Enzymes II: Kinetics”
I. Enzyme kinetics: why & how?
II. Steady-state kinetics:
Michaelis-Menten eqn.
III. Inhibition of enzyme activity
ASSIGNED READING: Chap. 6 Section 6.3; Box 6-
2 optional
Web Resources: “living graphs” in Chapter 6 of
Lehninger Web site (see Bioc440 Schedule page for
link.)
self-test: see Bioc440 Schedule page for link.
HOMEWORK PROBLEM SET #5
2
Enzyme Kinetics
Why?
Measure Reaction RATE via ENZYME ASSAY.
How? S P
(E)
Study Enzyme & substrate(s) in purified form.
Measure how rate changes with change in [S], pH, etc.
Need to be able to monitor [S] or [P] as a function of
time.
3
General form of enzyme-catalyzed rxn: (single substrate rxn)
1. In vivo,
[S] >> [E]. i.e., E is “limiting.”
So, [S] is effectively constant (e sp., early in reaction.)
E + S E · S E + P
k1
k-1
k2
k-2
d[S]/dt=
(k, rate
constants)
4
2. Initial velocity of product formation, “v0
3. E·S is in “ steady-state.”
E, S, & E·S are in equilibrium.
k2 is SLOW compared to k1 and k-1.
Steady-state means [E·S] does not change w/ time, I.e.,
E + S E · S E + P
k1
k-1
k2
k-2
v0 = d[P]/dt=
pf3

Partial preview of the text

Download Enzyme Kinetics: Understanding Enzyme II and the Michaelis-Menten Equation - Prof. Rachel and more Study notes Biochemistry in PDF only on Docsity!

BIOC 440/ Lecture #13 1

“Enzymes II: Kinetics”

I. Enzyme kinetics: why & how?

II. Steady-state kinetics:

Michaelis-Menten eqn.

III. Inhibition of enzyme activity

  • ASSIGNED READING: Chap. 6 Section 6.3; Box 6- 2 optional
  • Web Resources: “living graphs” in Chapter 6 of Lehninger Web site (see Bioc440 Schedule page for link.)
  • self-test: see Bioc440 Schedule page for link.
  • HOMEWORK PROBLEM SET # 2

Enzyme Kinetics

Why?

  • Measure Reaction RATE via ENZYME ASSAY.

How? S P

(E)

  • Study Enzyme & substrate(s) in purified form.
  • Measure how rate changes with change in [S], pH, etc.
  • Need to be able to monitor [S] or [P] as a function of time. 3 General form of enzyme-catalyzed rxn: (single substrate rxn) 1. In vivo, [S] >> [E]. i.e., E is “limiting.” So, [S] is effectively constant (esp., early in reaction.)

E + S E · S E + P

k 1 k- k 2 k- d[S]/dt= (k, rate constants) 4

  1. Initial velocity of product formation, “v 0 ”
  2. E·S is in “steady-state.” E, S, & E·S are in equilibrium. k 2 is SLOW compared to k 1 and k-1. Steady-state means [E·S] does not change w/ time, I.e.,

E + S E · S E + P

k 1 k- k 2 k- v 0 = d[P]/dt=

5

  1. Write [E·S] in terms of measurables & constants. Total Enzyme, [E]T = [E] + [E·S] (AT ALL TIMES). (from #3): [E·S] = k 1 [E][S]/(k-1+k 2 ) define KM = (k-1+k 2 )/k 1
    1. Michaelis-Menten eqn. for (initial) velocity: d[P]/dt = v 0 = k 2 [E·S] = MAXIMUM rate will occur if [E]T = [E·S]. So, Vmax = k 2 [E·S]max = k 2 [E]T, which is Finally, v 0 = 6

Insights from Michaelis-Menten Equation

Figure 6-

  1. Km, the “Michaelis constant” (units = M) (Living graph for Eqn 6-9) v 0 = Vmax[S] (Km + [S]) 7
  2. kcat, “turnover number”, # rxns/active site/unit time
  3. Catalytic efficiency, freq. w/which E & S have productive encounters. Enzyme Substrate Km (M) kcat (s-1) kcat/ Km (M-1^ s-1) Catalase H 2 O 2 2 x 10-2^ 1 x 10^7 Fumerase fumerate 5 x 10-6^ 8 x 10^2 maleate 2 x 10-5^ 9 x 10^2 cat. eff. = kcat/KM Upper limit is rate of diffusion. If kcat/KM 108 -10^9 M-1s-1, “diffusion-controlled” enzyme. 8

Inhibition of Enzyme Activity.

  • Inhibitors resemble substrates. They bind to active site, but no product is produced.
  • There are many natural enzyme inhibitors.
  • Inhibitors may be “reversible” or “irreversible.” COO- CH 2 CH 2 COO- (succinate) (fumerate) (maleate) COO- CH CH COO- COO- CH 2 COO-