Multiple Choice
Which hormone from the plot below shows the highest binding affinity for the receptor?
12. Biosignaling
Introduction to Biosignaling
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A sample of cells has a total receptor concentration of 10 mM and a free ligand concentration of 15 mM. If 25% of the receptors are occupied with ligand under these conditions, calculate the receptor-ligand dissociation constant (Kd).
A
7 mM.
B
38 mM.
C
12 mM.
D
45 mM.
Verified step by step guidance1
Understand the relationship between receptor occupancy, ligand concentration, and the dissociation constant (Kd). The equation used is the Hill-Langmuir equation: Θ = [L] / (Kd + [L]), where Θ is the fraction of occupied receptors, [L] is the ligand concentration, and Kd is the dissociation constant.
Given that 25% of the receptors are occupied, Θ = 0.25. The total receptor concentration is 10 mM, and the free ligand concentration is 15 mM.
Substitute the known values into the Hill-Langmuir equation: 0.25 = 15 / (Kd + 15).
Rearrange the equation to solve for Kd: Kd = (15 / 0.25) - 15.
Calculate the value of Kd using the rearranged equation to find the dissociation constant.
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