a receptor equential nple, ligai L" must be present before ligand "M" can bind. In dissociation reactions, it would look like this. R•L•M R•L + M with equilibrium constant Kas with equilibrium constant Kdt R•L OR +L . Derive an equation that relates the fraction [R•L•M]/[R]tot to the concentrations of free L and fre М. . In terms of the dissociation constant, Kam, what concentration of ligand "M" will lead to 50% the receptor existing in the R•L•M state when [L] = 10 x Ka?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter16: Solubility And Precipitation Equilibria
Section: Chapter Questions
Problem 70AP
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Consider a receptor (R) that binds two ligands (L & M ) in a sequential fashion. For example, ligand
"L" must be present before ligand "M" can bind. In dissociation reactions, it would look like this.
R•L•M R•L + M with equilibrium constant Kam
R•L OR+L
with equilibrium constant Ka
a. Derive an equation that relates the fraction [R•L•M]/[R]tot to the concentrations of free L and free
M.
b. In terms of the dissociation constant, Kam, what concentration of ligand "M" will lead to 50% of
the receptor existing in the R•L•M state when [L] = 10 x Ka?
Transcribed Image Text:Consider a receptor (R) that binds two ligands (L & M ) in a sequential fashion. For example, ligand "L" must be present before ligand "M" can bind. In dissociation reactions, it would look like this. R•L•M R•L + M with equilibrium constant Kam R•L OR+L with equilibrium constant Ka a. Derive an equation that relates the fraction [R•L•M]/[R]tot to the concentrations of free L and free M. b. In terms of the dissociation constant, Kam, what concentration of ligand "M" will lead to 50% of the receptor existing in the R•L•M state when [L] = 10 x Ka?
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