= An Fab fragment binds to lysozyme with a dissociation constant of Ka 10-11 M. A 1 nM (10-9 M) solution of lysozyme is treated with increasing concentrations of the Fab fragment. At what concentration of added Fab will half of the lysozyme be bound to the Fab?

Biochemistry
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Chapter1: Biochemistry: An Evolving Science
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You have not correctly calculated the concentration of added Fab at which half of
the lysozyme will be bound to the Fab.
The dissociation constant (K) is the equilibrium constant for the dissociation of a
receptor and ligand: RL = R + L. In this case, lysozyme is the receptor and the
Fab fragment is the receptor.
Ka is given by the equation:
[R][L]
[RL]
Kd =
=
Under these conditions, half of the ligand is bound and half is unbound, so
[L] = [RL]. Making this substitution for [L] in the equation for Ka gives you:
Ka
=
[R][RL]
[RL]
= = [R]
However, you must determine the total receptor concentration (Rtotal), which is the
sum of free receptor and receptor bound to ligand.
Rtotal = [R] + [RL]
Because half of the ligand is bound and half is unbound in this case, [RL] is equal
to one-half of Ltotal. In this case, Ltotal the concentration of lysozyme in
the solution.
X
Transcribed Image Text:Feedback You have not correctly calculated the concentration of added Fab at which half of the lysozyme will be bound to the Fab. The dissociation constant (K) is the equilibrium constant for the dissociation of a receptor and ligand: RL = R + L. In this case, lysozyme is the receptor and the Fab fragment is the receptor. Ka is given by the equation: [R][L] [RL] Kd = = Under these conditions, half of the ligand is bound and half is unbound, so [L] = [RL]. Making this substitution for [L] in the equation for Ka gives you: Ka = [R][RL] [RL] = = [R] However, you must determine the total receptor concentration (Rtotal), which is the sum of free receptor and receptor bound to ligand. Rtotal = [R] + [RL] Because half of the ligand is bound and half is unbound in this case, [RL] is equal to one-half of Ltotal. In this case, Ltotal the concentration of lysozyme in the solution. X
An Fab fragment binds to lysozyme with a dissociation constant of Ka =
10-11 M. A 1 nM (10-9 M) solution of lysozyme is
treated with increasing concentrations of the Fab fragment. At what concentration of added Fab will half of the lysozyme be
bound to the Fab?
[Fab]
9.9
Incorrect
nM
Transcribed Image Text:An Fab fragment binds to lysozyme with a dissociation constant of Ka = 10-11 M. A 1 nM (10-9 M) solution of lysozyme is treated with increasing concentrations of the Fab fragment. At what concentration of added Fab will half of the lysozyme be bound to the Fab? [Fab] 9.9 Incorrect nM
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