2. Using molecular simulations it is possible to compute the free energy change AG for the nonphysical reaction CH3-CH2-CH3 CH3-CH3 (Propane Ethane) in any desired solvent. Simulation data give the following results AG°(vacuum)=0.5 kcal/mol AG (octanol)=2.0 kcal/mol AG (water) 1.0 kcal/mol (a) The experimentally measured free energy of transfer AGx(propane) of propane from octanol to water is 4 kcal/mol and from vacuum (gas phase) to water is -0.2 kcal/mol. Calculate the corresponding values of AGOx(ethane) from octanol to water and from vacuum to water. b) Assume that the free energy of transfer of a methylene group from water to octanol is a measure of the strength of the hydrophobic driving force for burial of such a group during protein folding. Calculate the expected approximate decrease in stability (as a result of reduced hydrophobicity) for a Leu Ala substitution at a buried site in a monomeric globular protein. The measured decrease in stability is twice the theoretical amount. Suggest possible explanation. c) The wildtype protein has a free energy of unfolding AG of 7 kcal/mol at 300 K. Calculate the fraction unfolded protein fu for the mutant protein at 300 K.
2. Using molecular simulations it is possible to compute the free energy change AG for the nonphysical reaction CH3-CH2-CH3 CH3-CH3 (Propane Ethane) in any desired solvent. Simulation data give the following results AG°(vacuum)=0.5 kcal/mol AG (octanol)=2.0 kcal/mol AG (water) 1.0 kcal/mol (a) The experimentally measured free energy of transfer AGx(propane) of propane from octanol to water is 4 kcal/mol and from vacuum (gas phase) to water is -0.2 kcal/mol. Calculate the corresponding values of AGOx(ethane) from octanol to water and from vacuum to water. b) Assume that the free energy of transfer of a methylene group from water to octanol is a measure of the strength of the hydrophobic driving force for burial of such a group during protein folding. Calculate the expected approximate decrease in stability (as a result of reduced hydrophobicity) for a Leu Ala substitution at a buried site in a monomeric globular protein. The measured decrease in stability is twice the theoretical amount. Suggest possible explanation. c) The wildtype protein has a free energy of unfolding AG of 7 kcal/mol at 300 K. Calculate the fraction unfolded protein fu for the mutant protein at 300 K.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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
Transcribed Image Text:2. Using molecular simulations it is possible to compute the free energy
change AG for the nonphysical reaction CH3-CH2-CH3 CH3-CH3
(Propane Ethane) in any desired solvent. Simulation data give the following
results
AG°(vacuum)=0.5 kcal/mol
AG (octanol)=2.0 kcal/mol
AG (water) 1.0 kcal/mol
(a) The experimentally measured free energy of transfer AGx(propane) of
propane from octanol to water is 4 kcal/mol and from vacuum (gas phase) to
water is -0.2 kcal/mol. Calculate the corresponding values of AGOx(ethane)
from octanol to water and from vacuum to water.
b) Assume that the free energy of transfer of a methylene group from water to
octanol is a measure of the strength of the hydrophobic driving force for burial
of such a group during protein folding. Calculate the expected approximate
decrease in stability (as a result of reduced hydrophobicity) for a Leu Ala
substitution at a buried site in a monomeric globular protein. The measured
decrease in stability is twice the theoretical amount. Suggest possible
explanation.
c) The wildtype protein has a free energy of unfolding AG of 7 kcal/mol at 300
K. Calculate the fraction unfolded protein fu for the mutant protein at 300 K.
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