= 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?
= 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
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85c5dbd4-804e-42e1-b4a2-adf26b9b73d6%2F2b5e84b5-a3e1-431c-9cac-4a0a2f93a0ca%2F0g5i1dj_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85c5dbd4-804e-42e1-b4a2-adf26b9b73d6%2F2b5e84b5-a3e1-431c-9cac-4a0a2f93a0ca%2Fzff7acf_processed.png&w=3840&q=75)
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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images

Recommended textbooks for you

Biochemistry
Biochemistry
ISBN:
9781319114671
Author:
Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:
W. H. Freeman

Lehninger Principles of Biochemistry
Biochemistry
ISBN:
9781464126116
Author:
David L. Nelson, Michael M. Cox
Publisher:
W. H. Freeman

Fundamentals of Biochemistry: Life at the Molecul…
Biochemistry
ISBN:
9781118918401
Author:
Donald Voet, Judith G. Voet, Charlotte W. Pratt
Publisher:
WILEY

Biochemistry
Biochemistry
ISBN:
9781319114671
Author:
Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:
W. H. Freeman

Lehninger Principles of Biochemistry
Biochemistry
ISBN:
9781464126116
Author:
David L. Nelson, Michael M. Cox
Publisher:
W. H. Freeman

Fundamentals of Biochemistry: Life at the Molecul…
Biochemistry
ISBN:
9781118918401
Author:
Donald Voet, Judith G. Voet, Charlotte W. Pratt
Publisher:
WILEY

Biochemistry
Biochemistry
ISBN:
9781305961135
Author:
Mary K. Campbell, Shawn O. Farrell, Owen M. McDougal
Publisher:
Cengage Learning

Biochemistry
Biochemistry
ISBN:
9781305577206
Author:
Reginald H. Garrett, Charles M. Grisham
Publisher:
Cengage Learning

Fundamentals of General, Organic, and Biological …
Biochemistry
ISBN:
9780134015187
Author:
John E. McMurry, David S. Ballantine, Carl A. Hoeger, Virginia E. Peterson
Publisher:
PEARSON