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Michaelis-Menten enzyme kinetic model
a mathematical model that describes enzyme-catalyzed reaction rates
Substrate binds to enzyme forming intermediate enzyme substrate complex that facilitates conversion of substrate to product
What happens in the Michaelis-Menten enzyme kinetic model? (E + S <> ES > E + P)
Enzyme substrate complex formation
stabilizes the transition state and facilitates conversion of the substrate (S) to the product (P)
Most reactions are reversible
What fact does the reaction in the Michaelis-Menten enzyme kinetic model ignore?
Initial velocity
the reaction rate at the very beginning of a reaction, before a significant amount of substrate has been converted to product; means reverse reaction has not yet occurred
Steady state assumption
idea that ES formation rate is equal to ES degradation rate; that ES concentration remains constant over time
Simplifies binding and catalytic processes into one
What is the significance of the steady state assumption?
Clean rate vs substrate concentration relationship
What is achieved by simplifying the binding and catalytic processes into a single one?
Km
a constant that is characteristic of the enzyme and the substrate under specific conditions; reflects affinity of enzy,e for substrate and catalytic turnover of substrate to product
Michaelis constant
What does Km represent?
Michaelis-Menten Equation
describes the relationship between reaction rate and substrate concentration
Vmax
the maximum velocity the reaction can reach; reached when all enzymes are saturated with substrate
When all enzymes are saturated with substrate
When is Vmax reached?
1/2Vmax
What does Km, a substrate concentration, correspond to?
Enzyme concentration
What is Vmax directly proportional to?
Becomes zero order
What happens to the reaction when Vmax is reached?
Metabolism by liver enzymes
What do Michaelis-Menten kinetics describe in relation to drugs?
Km and Vmax
two important parameters that determine drug clearance by liver enzymes
Each drug-enzyme pair
What are Km and Vmax specific to?
Drug clearance
used to determine the appropriate dose to achieve a desired plasma drug concentration
Linear pharmacokinetics
What do lower doses exhibit?
Double plasma concentration
What does doubling a dose do?
Plasma concentration is disproportionately increased to the dose
What happens at higher doses where the drug metabolism has changed from first order to zero order?
In linear range
Where are most drugs dosed in pharmacokinetics?
Much larger increase in concentration
At a higher steady state concentration, the same change in dose can produce what?
1/Vmax
In a Lineweaver-Burk plot, what is the y-intercept?
Y intercept
In a Lineweaver-Burk plot, what is the 1/Vmax?
-1/Km
In a Lineweaver-Burk plot, what is the x-intercept?
X intercept
In a Lineweaver-Burk plot, what is the -1/Km?