Chapter 12 : Enzyme Kinetics, Inhibition, and Control Flashcards
What is enzyme kinetics? What have effects on enzymes? How is the activity of enzymes controlled? How are inhibitors practically used?
-The study of enzymatic reaction rates
-Inhibitors
-Allosteric effects and covalent modification which involves Protein Phosphorylation
-As drugs
*
* Derive the Michaelis–Menten equation.
- What do the values of K M and k cat /K M reveal about an enzyme?
- Why can’t an enzyme have a k cat /K M value greater than 10 9 M −1 ∙ s−1 ?
- Write the Lineweaver–Burk (doublereciprocal) equation and describe the features of a Lineweaver–Burk plot.
- Why can’t enzyme kinetics prove that a particular enzyme mechanism is correct?
- Use Cleland notation to describe Ordered and Random sequential reactions and a Ping Pong reaction.
Purpose of reaction orders? What are the 2 types of elementary (simple molecular processes) reaction orders? How do velocity and reaction concentration relate in the two and what are the units of velocity and k in each?
Reaction Orders Indicates the Number of Molecules Participating in an Elementary Reaction.
- First order reaction/Unimolecular = A → P,
Velocity is proportional to reactant concentration (A)
Velocity has units of molar per second (M · s−1)
K has units of s-1 - Second order reaction/Bimolecular = 2A → P & A + B → P
Velocity is proportional to the square of the concentration of A
Velocity has units of molar per second (M · s−1)
K has units of M −1· s−1
-1 just means your on the denominator of a reaction
What is velocity? What are the equations to determine velocity in both reaction orders?
-the instantaneous rate of appearance of product or disappearance of reactant (v) / how much P appears as a function of time
First order: v = d[P]/dt =- d[A]/dt = k[A]
Second order: v = -d[A]/dt = k[A]2
v = -d[A]/dt = -d[B]/dt = k[A] [B]
k =?
The proportionality constant is known as a rate constant
k =?
The proportionality constant is known as a rate constant
At constant temperature, the rate of an elementary reaction is proportional to ? Meaning?
the frequency with which the reacting molecules come together.
-the more our 2 molecules come together the faster the reaction
btw and rate constant, K, tells us the speed of the reaction
Purpose of Rate Equations?
Rate Equation Indicates the Progress of a Reaction as a Function of Time.
Purpose of Rate Equations?
Rate Equation Indicates the Progress of a Reaction as a Function of Time. They are derived from equations that describe instantaneous reaction velocity.
instantaneous reaction velocity
the rate of a reaction at any particular point in time
What is Half life? What are the equations? When is it constant?
-the time for half of the reactant to initially decompose/how long till Ao becomes half of its starting concentration
First order: t1/2= ln 2/k = 0.693/k
Second order: 1/[A]=1/[A]0 +kt
Constant for first order not second order
what is a pseudo-first-order reaction?
finding the rate constant of a second order reaction by increasing the concentration of one reactant, so the reaction rate only depends on lesser reactant. this makes the reaction appear to be in first order with respect to the reactant with the lower concentration.
This is due to the second order not being constant and depending on the intitial reactant concentration.
Enzyme Kinetics Often Follows the Michaelis–Menten Equation. Describe the general enzyme reaction.
What is the velocity of making product equation and change in ES over time equation?
-vo = V max [S]/K M + [S]
-Enzyme plus Substrate will form an Enzyme and Substrate complex with a rate constant of k1.
This can break down to reform the Enzyme plus Substrate with a reaction order/rate constant of k-1.
The ES can make product plus enzyme which has a rate constant of k2
Equations on page 365
To make an equation for enzyme kinetics, we need some assumptions, what are they? What is Ks?
- The second reaction is irreversible. Once we make product we cannot go back
- The amount of ES is not going to change, Its at a steady state. So change in ES over Time =0. At equilibrium?
- Reverse reaction of ES breaking down to E+S is much bigger than the k2 reaction that makes Product. Much more likely to break apart into E+S than to make product
k1>k2
Ks is reverse rate constant/dissociation rate constant of the first step
equation on page 365
Reactions need to have measurable quantities, what are those in terms of ES and E
The quantities [ES] and [E] are not, in general, directly measurable, but the total enzyme concentration is usually readily determined.
Michaelis constant symbol and equation? Symbol and Equation for initial velocity, max velocity equation, and ES?
KM
KM= k−1+k2/k1
Initital velocity = v0
eq on pg 366 and 367
What are the differences between instantaneous velocity, initial velocity, and maximal velocity for an enzymatic reaction?
Instantaneous velocity is a velocity at a given time,
initial velocity is velocity at t=0
maximal velocity is when the enzyme is fully saturated with substrate.occurs at high substrate concentrations when the enzyme is saturated, that is, when it is entirely in the ES form. all enzyme has substrate
What is the Michaelis-Menten equation?
vo = V max [S]
————
K M + [S]
the basic equation of enzyme kinetics.
when substrate =KM what happens to speed
1/2 max speed
what is KM?
substrate concentration at which the velocity is half-maximal.
Km gives an idea of how good of binding the enzyme is.
When is Km catalytically efficient?
at low substrate concentrations
-The smaller the km the faster or easier it is it get to v max,
-smallest Km means highest affinity, can bind substrate better at lower concentrations
What is Kcat? What is kcat/KM?
Catalytic constant. the turnover number of an enzyme because it is the number of reaction processes (turnovers) that each active site catalyzes per unit time/how many reactions per active site per time
the rate at which an enzyme converts its substrate
a Measure of Catalytic Efficiency
is a measure of how efficiently an enzyme converts substrates into products.
The bigger the number the more efficient enzyme is.
eq on pg 368
The name for the most efficient enzymes?
-Diffusion-controlled limited Kcat/kM of 10^8 to 10^9 M −1∙ s−1.
These enzymes catalyze a reaction almost every time they encounter a substrate molecule.
Meaning the slowest step of reaction is the substrate diffusing to the enzyme
How are values for Vmax and KM determined? What is the slope, x, and y intercept?
Kinetic Data Via Lineweaver -Burk (double reciprocal) plot
change substrate con, hold enzymes constant and measure initial velocity
slope = km/vmax
x=-1/kM
y=1/vmax
…Any enzyme u can find Km and vmax, once u find vmax u find kcat, once you know km and kcat, you can find catalytic efficiency
What is a flaw of steady state kinetics?
Unfortunately, steady state kinetic measurements are incapable of revealing the Reaction Mechanism such as number of intermediates or nature of ES in an enzyme-catalyzed reaction
unable to tell how reaction runs, can only see product not mechanism.
know what goes in and out but not in between
input pressure and output flow can be measured
steady state kinetic measurements can provide a phenomenological description of enzymatic behavior, but the nature of the intermediates remains indeterminate.The existence of intermediates must be verified independently, for example, by identifying them through the use of spectroscopic techniques.