Michaelis-Menton Analysis - Physical Chemistry
Card 0 of 4
Which of the following is true regarding the Michaelis constant?
Which of the following is true regarding the Michaelis constant?
Michaelis constant, or 
, is defined as the concentration of substrate at which the reaction rate is half the maximum (
). It is a useful measure of how much substrate is needed for reaction to proceed rapidly. A reaction with a high Michaelis constant will need lots of substrate to reach high reaction rates whereas a reaction with low Michaelis constant will need small amounts of substrate to reach high reaction rates.
Michaelis constant, or
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Which of the following will have the greatest increase in reaction rate?
Which of the following will have the greatest increase in reaction rate?
Reaction rate, according to Michaelis-Menten model is as follows.
where 
is reaction rate, 
is maximum reaction rate, 
is substrate concentration, and 
is the Michaelis constant. If we analyze the given options, we will observe that the greatest increase in 
occurs when 
is doubled (increased by a factor of 2). Increasing substrate concentration by a factor of 2 will have nearly the same effect; however, since 
is also found in the denominator it will only slightly contribute to an increase in 
.
Note that the units for 
is molarity, 
is molarity, and 
is 
. Solving for 
will give us units of 
.
Reaction rate, according to Michaelis-Menten model is as follows.
where
Note that the units for
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Consider the following reaction parameters.
Substrate concentration = 
Michaelis constant = 
What can you conclude about the reaction rate?
Consider the following reaction parameters.
Substrate concentration =
Michaelis constant =
What can you conclude about the reaction rate?
To solve this problem we need to use the Michaelis-Menten equation.
where 
is reaction rate, 
is maximum reaction rate, 
is substrate concentration, and 
is the Michaelis constant. If we plug in the given values we get a reaction rate of
Note that the Michaelis-Menten equation implies that the 
will never exceed 
. Regardless of how high the substrate concentration is, the reaction rate will approach 
but will never equal or exceed it. You can try this by substituting very high values for substrate concentration. The 
will get very close to 0.2 (
) but will never equal or exceed it.
To solve this problem we need to use the Michaelis-Menten equation.
where
Note that the Michaelis-Menten equation implies that the
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The Michaelis-Menten model implies that __________ the Michaelis constant will __________ the reaction rate.
The Michaelis-Menten model implies that __________ the Michaelis constant will __________ the reaction rate.
The Michaelis-Menten equation is as follows.
Where 
is reaction rate, 
is maximum reaction rate, 
is substrate concentration, and 
is the Michaelis constant. Since the Michaelis constant, 
, is in the denominator, the reaction rate is inversely proportional to the Michaelis constant; therefore, increasing the Michaelis constant will decrease the reaction rate.
The Michaelis-Menten equation is as follows.
Where
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