Lectures 9 & 10: Kinetics Catalysis and Cooperativity (Hb) Flashcards
What is the purpose of a reaction coordinate diagram?
Depicts the relative free energy values of reactants/products
What is ∆G‡ ?
The activation energy = the energy barrier between the reactants and products which prevents many spontaneous processes from occurring at measurable rates.
What is the equation relating ∆G‡ and the reaction rate k? What does this mean?
k = (kB.T/h).e^(-∆G‡/RT) h = 6.53 x 10^-34 J.s The higher activation energy, the lower the rate of the rxn
How does ∆G‡ explain the stability of complex high energy molecules like sucrose?
Without it, the molecules would break down into their low-energy constituents (CO2 and H2O) and we would have no sugar in our pantry!
How long is the lifespan of transition states?
10^-13 seconds
Difference between transition states and intermediates?
States: bumps on diagram vs intermediates: wells
What does a catalyst do?
They increase the rates of reactions by lowering the activation energy to reach equilibrium (Keq) faster
Is the catalyst changed by the reaction it speeds up?
NOPE
What is the magnitude of the reduction of the activation energy provided by the catalyst proportional to?
The degree of rate enhancement
How do you write the magnitude of the reduction of the activation energy provided by the catalyst
∆∆G‡
Draw a reaction coordinate diagram
What does the velocity of the rxn depend on?
Rxn path and reactant concentration
What is the equation for the velocity of the rxn?
v = k. [A]a.[B]b
What is the equation for the velocity of a 1st order rxn?
v = k.[A]
What is a first order rxn?
A –> P
What is the definition of velocity?
The change in product concentration over time
Why are rxns including more than 2 reactants very rare?
Because the probability of 3 or more reactants colliding simultaneously is very low
What are examples of first order rxns?
Radioactive decay, isomerization, elimination, and many hydrolysis rxns b/c H2O is in excess
What is a second order rxn?
2 A –> P
OR
A + B –> P
What is the velocity equation for a second order rxn?
v = k. [A]2
OR
v = k.[A].[B]
What is t1/2 dependent on for second order rxns?
[A]
OR
[A] AND [B]
What are zero order rxns?
Enzyme-catalyzed reactions, where the reactants are present in great excess over the enzyme so that once the enzyme is saturated with substrate, further increases in substrate concentration will not noticeably increase the rate of the reaction.
What is the equation of a reaction of a substrate with an enzyme (with reaction rates)?
What is the general expression for the velocity of the rxn of a substrate with an enzyme?
v = d[P]/dt = k2[ES]
What is the equation of the rate of production of the ES?
d[ES]/dt = k1[E][S] - k-1[ES] - k2[ES]
What is the steady state assumption?
After a rapid transient phase of the reaction, [ES] remains essentially unchanged (formation of ES = break down of ES, which does not necessarily mean that E is saturated) until nearly all of the reactants are consumed:
d[ES]/dt = k1[E][S] - k-1[ES] - k2[ES] = 0
What is the definition of the initial velocity? Equation?
Velocity that is achieved after the steady state has been reached but when less than 10% of the substrates have been consumed
v0 = k2 . [ES]
What is the maximal velocity? Equation?
The velocity achieved when the enzyme is completely saturated with substrate ([E]T = [ES])
Vmax = k2 . [E]T
What is KM? What is the theoretical definition of KM? Experimental definition? Equation?
The Michaelis constant
Combination of the positiive and negative rate constants influcing the formation of ES
v0 = Vmax/2 when KM = [S]
KM = k-1 + k2 / k1
What is the Michaelis-Menten equation?
v0 = Vmax . [S] / KM + [S]
What is KM often equal to?
The dissociation constant kd = k-1/ k1
What is the catalytic constant or turnover number of the enzyme? Equation? What is it sometimes equal to?
It’s a measure of catalytic efficiency of the enzyme
kcat = Vmax / [E]T
Sometimes equal to k2 for simple rxns
What does a higher kcat mean for the enzyme?
More efficient enzyme
What does a higher kcat /KM mean for the enzyme?
Higher catalytic efficiency
What does it mean for an enzyme’s efficiency to approach the diffusion control limit? How do we think this catalytic efficiency is achieved by the enzyme? Examples?
It means everytime they bump into the substrate they convert it to product because the ultimate limit ito its efficiency s how frequently it bumps into the substrate, which is dependent on diffusion
Maybe they have a channeling mechanism to bring substrates right to their active site
eg: catalase and superoxide dismutase
How do some enzymes’ efficiency approach the diffusion control limit? What is important to note about this?
They have evolved that way to be as efficient as they should be to carry out their physiological role. This is dependent on the concentration of the substrate in the body, how they’re regulated, etc.
This does not mean that they are better enzymes, some diseases arise from mutations increasing the catalytic efficiency of enzymes (eg: kinases –> oncogenes)
Draw a Lineweaver-Burk plot.
How to calculate the slope?
Slope = ∆y/∆x
What is another name for a Lineweaver-Burk plot?
Double reciprocal plot
Describe competititve inhibition
Inhibitor binds at active site:
Apparent KM increases
Apparent Vmax stays the same
Lines intersect on the y-axis
Overcome by: increasing [S]
Describe uncompetitive inhibition
Inhibitor binds ES complex ONLY at a site created only upon E-S binding (conformational change or binds to both)
Apparent KM decreases: [ESI] formation depletes [ES], therefore to maintain [ES] to [E] equilibrium, more [S] binds to [E]
Apparent Vmax decreases (as a result of removing activated complex)
Lines do not intersect, they are parallel
Overcome by adding more enzyme
Describe mixed inhibition
Inhibitor binds at allosteric site to either E or ES complex (maybe at sites that are both the substate binding and the active site)
Apparent KM decreases or increases
Apparent Vmax decreases
Lines intersect close to the x-axis (on it if noncompetitive)
Overcome by: increasing [E]
What is inactivation of an enzyme?
Special situation wherein the inhibitory molecule irreversibly reacts with the enzyme
What does the inactivator do to the enzyme?
It decreases the effective [E]T at all concentrations of substrates
What are 2 types of inactivators?
- Reagents that modify AAs that are required for catalysis
- Suicide substrates: competitive inhibitors that bind irreversibly to the substrate binding pocket (usually by covalent modification)
What is the difference between an enzyme’s binding site and active site?
Active site is where the chemistry of catalysis occurs
These sometimes overlap up to 100%
What is an example of drugs that are enzyme inhibitors?
Lipitor and Zocor are inhibitors of HMG-CoA reductase, and Vioxx and Celebrex are inhibitors of prostaglandin H2 synthase also known as cyclooxygenase 2 or COX-2
What do competitive inhibitors often resemble?
The substrate or the reaction’s transition state
What is special about enzyme inhibitors that are transition state analogs?
They often bind the enzyme with Ki lower than KM (more tightly) so are very effective
What can inhibitors that are transition state analogs be used for? 2 purposes
Example?
- Very effective so can be used as lead molecules in drug discovery
- Used to help discern the mechanism of the reaction since the transition state is usually not easily isolated (can confirm a theory about what we think the transition state looks like)
eg: statins are competitive inhibitors of HMG-CoA reductase (enzyme to produce cholesterol)
What does the alpha of the inhibitor represent? What is it equal to?
Effectiveness of the inhibitor
alpha = 1 + [I] / Ki
What is alpha’?
Alpha for uncompetitive inhibition
By what function are Vmax and KM decreased in uncompetitive inhibition?
alpha’
Equal decrease!
Is one type of inhibitor better when it comes to designing drugs? Which one?
Yes! Uncompetitive inhibitors:
In a metabolic pathway, the product of one reaction is the substrate for the next. If an enzyme in the middle of such a pathway is inhibited competitively, the build-up of product from the previous reaction can easily overcome the effect of the inhibitor. Thus uncompetitive inhibition would be more effective.
What is noncompetitive inhibition?
When a mixed inhibitor is used and ki = ki’
Draw the table that summarizes the different types of reversible inhibitors and their effect on Vmax and KM
Describe the structure of myoglobin
Very compact with virtually no internal space available for water molecules
What is the main difference between venous and arterial blood?
Venous has less O2
What is an advantge of using protein enzymes over ribonucleic acid enzymes?
They can be regulated through many mechanisms
How much faster are enzyme-catalyzed rxns?
106-1012 times faster
Under what conditions do enzyme-catalyzed rxns occur?
Conditions that we typically think of as being compatible with life, i.e. temperatures below 100°C, atmospheric pressure, aqueous environments, and nearly neutral pH.
What are the 5 rate enhancement mechanisms employed by enzymes?
- Proximity and orientation
- Transition state binding
- Acid-base catalysis
- Covalent catalysis
- Metal ion catalysis