Concept explainers
Interpretation:
The fraction of the receptor bonded with the hormone needs to be calculated.
Concept Introduction :
While considering the simple equilibrium binding of receptor to hormone the below equilibrium could be used:
Within this equilibrium, [HR] is representative of the hormone’s concentration receptor complex. [H] signifies the free hormone’s concentration while [R] signifies the noncomplexed receptor’s concentration. The equilibrium dissociation constant for this specific reaction could be found to be as:
Answer to Problem 9P
Explanation of Solution
The equilibrium equation can also be written as follows:
After substituting,
The quadratic equation to solve for the variables:
Substituting in the initial hormone and receptor concentration gives:
Since [HR] must be 0 when
To determine the fraction receptor bound divide [HR] by
These calculations can be repeated for when the concentration of receptor is decreased to 0.33 nM.
Taking the negative root again:
Finding the fraction receptor bound gives:
The fraction of the receptor bonded with the hormone is 0.496.
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