Chapter 8: Kinetics Flashcards
What is kinetics the study of?
reaction rates
in a kinetic graph of time vs concentration, what does the slope tell you?
the rate (velocity) at which substrates are being consumed and/or rate (velocity) at which products are being formed
in a kinetic graph of time vs concentration, what does it mean when the graph plateaus/forms an asymptote?
equilibrium has been achieved
in a kinetic graph of VELOCITY vs concentration, what does it mean when the graph plateaus/forms an asymptote?
maximum velocity has been achieved
rxn can’t go any faster unless you add more enzyme
in a kinetic graph of VELOCITY vs concentration, what does the graph’s plateau/asymptote tell you about the reaction rate/velocity?
that it can’t go any faster
unless you add more enzyme
in a kinetic graph of VELOCITY vs concentration, what does the graph’s plateau/asymptote tell you about the substrate CONCENTRATION?
that it is saturated
Dr. Shimko called this ‘near infinite concentration of the substrate’
in enzyme kinetics for our class, why is the rxn rate called ‘initial velocity’ instead of just ‘velocity’?
‘initial velocity’ describes the rate of the reaction BEFORE equilibrium is achieved
in the context of Michaelis-Menten what does ‘steady state’ describe?
the point at which the [ES] is constant over time
rate of ES formation = rate of ES breakdown
or
rate of ES formation = rate of ES consumption
what units does the Km have?
units of concentration
when does Km = [substrate]?
when a reaction achieves half of its maximum velocity
what does the Michaelis-Menten eqn allow us to solve for?
you can use the terms to solve for the other terms (Km, Vmax, K2)
the allows you to examine the stability of the ES complex and the rate of product formation
how can you tell if a rxn rate graph is showing you one substrate at a single concentration or multiple substrates?
a graph of multiple substrates will have multiple lines rather than just a single line
what is the expression for Km?
Km = [E][S]/[ES] = k-1/k1
what does [E]_T represent?
total enzyme concentration
How is Km similar to Kd?
both communicate the degree of affinity between the bonding partners in question
both essentially show you rate or reverse rxn/rate of forward rxn
why do we exclude K2 from the numerator of the Km expression?
its associated with the rate limiting step but its actual value is negligible compared to the other term in the numerator (K-1) so we just ignore it under Michaelis-Menten conditions
How can K2 both be the rate limiting step but also be small enough to omit from the Km equation?
I will ask Milo
what are the main four conditions assumed to be present under Michalis-Menten conditions?
The rxn has a huge amount of substrate present (compared to the amount of enzyme)
Once the rxn gets going, the [ES] remains constant over time (aka the rxn is in a ‘steady state’)
Once the rxn achieves maximum velocity, all the enzymes are busy at work in their ES state; None of them are loafing around in their ‘free’ enzyme state.
As the rxn proceeds, the k2 (ES to E + P) step is the rate limiting step, and therefore, its rate law is used as the rate law for the entire rxn
what is the rate law expression for the k2 step ( ES to E + P] of a Michaelis-Menten rxn?
v_0 = k2[ES]
What is the significance of applying Michaelis-Menten approach to understanding rxns?
It allows us to describe reaction proceedings mathematically without having to account for every single variable impacting the rxn’s rate
why is the steady state approximation the basis for the entire Michaelis-Menten equation?
it gives the equation/mathematical relationship that the Michaelis-Menten equation is derived from.
Forms the basis for which the other math terms (like Vmax and Km) can be combined into a single, simple mathematical expression (the Michaelis-Menten eqn)
in a catalysis expression, where are the two places where ES is can be consumed?
- it can be consumed as it reverts to E + S from ES
2. it can be consumed as it converts from ES to E + P
in a catalysis expression, where is the one place where ES is can be produced?
it can be produced during the rxn’s ‘binding’ step that converts E + S to ES
what are the two basic rxn steps Michaelis-Menten used to summarize catalytic rxns?
- enzyme-substrate binding step
2. catalytic step
In the context of Michaelis-Menten summary of catalytic rxns, what happens in the step one?
reversible binding of E and S to create ES complex
In the context of Michaelis-Menten summary of catalytic rxns, what happens in the step two?
NOT reversible conversion of ES to E + P (where E releases the P)
what is the general expression for a catalyzed rxn as Michaelis-Menten described it?
E + S in equ. with ES goes to E + P
what is the expression for the Michaelis-Menten eqn?
V = (vmax * [S]) / (Km + [S])
what is the expression for the Vmax?
Vmax= k2 * [E]total
where K2 is the rate constant from the rxn’s slowest step and [E]total is the concentration of enzymes (being 100% in the ES state) at maximum velocity.
what two math maneuvers do you need to do to get from the Michaelis-Menten equation to the Lineweaver-Burk eqn?
- divide the Michaelis-Menten eqn by 1
2. do algebra to make the resulting eqn conform to the y-mx+b format
Does the plot for a Michaelis-Menten appear as a curve or a line?
a line then a curve