6 - Energy Flashcards
What does energy refer to in biological processes?
The biochemical reactions that underlie life
What does RT represent?
Thermal energy
How does RT arise?
From translation, vibrations, and rotations
What is Kd or Keq related to?
Free energy (delta G)
What are the equations for delta G?
delta G = delta H - T delta S = -RTln(Kd)
What is the common equation for an enzyme catalysis reaction?
E + S –> ES –> EP –> E + P
What is Ea (delta G dagger) in an enzyme catalysis reaction?
The energy to go from ES to EP
What does the energy of ES and EP determine?
Kd (delta G = -RTln(Kd))
How do enzymes catalyze reactions?
By lowering the activation energy (stabilize transition state)
What determines the rate of the forward reaction?
The energy barrier between ES and the transition state
What determines the rate of the reverse reaction?
The energy barrier between EP and the transition state
What determines the equilibrium between ES and EP?
Their energy levels (not the energy barrier between them)
What can be used to describe the populations of states?
The boltzmann distribution
What is the boltzmann distribution?
nES/nEP ~ exp(-(E[ES]-E[EP])/kT)
What is kT?
Thermal energy per molecule
What do the distributions of states (nES and nEP) depend on?
The temperature and energy state (how close they are)
If the energy difference between two molecules is kT, what is the ratio of concentrations?
exp(-1)
What is Ka?
An acid dissociation constant
What is the equation for Ka?
Ka = [H+][A-]/[HA]
What is Kd?
A dissociation constant
What is the equation for Kd?
Kd = [A][B]/[AB]
Why is a binding constant usually not used?
It can be ambiguous whether it is an association or a dissociation
If a reaction is favorable, what is true?
delta G < 0
What factors does delta H cover?
H-bonding, VDW, electrostatics, etc.
What happens to the reaction rate if the ES complex is stabilized?
The forward reaction decreases, because there is a higher energy barrier to overcome
What happens to the reaction rate if the ES complex is destabilized?
The forward reaction increases, because there is a lower energy barrier to overcome
How can an ES complex be stabilized?
Increase of entropy, stable electrostatics, H-bonding, VDW
How can an ES complex be destabilized?
Decrease of entropy, unstable electrostatics
If the energy of EP is the same, but the energy of ES decreases, what happens to the equilibrium constant?
It decreases (more ES)
What is the equation for delta delta G?
delta delta G = -RTln(Kd[A]/Kd[B])
What does a delta G tell you?
A large number of interactions between the ligand and enzyme
What does a delta delta G tell you?
The contribution to free energy based on one functional group
What is the range of energetics?
0-15 kcal/mol
What is the consequence of energetics occurring over a small range?
One cannot determine beforehand which interactions are the most important, since they are all comparable in energy
If a delta delta G is positive, what does that tell you?
Unfavorable energy (rise in free energy, less stable)
If a delta delta G is negative, what does that tell you?
Favorable energy (fall in free energy, more stable)
How can a water molecule influence Kd?
It can H-bond with side chains, shifting the Kd
For each 10 fold change in Kd, what is the change in free energy?
1.4 kcal/mol
What is a typical value for RT?
0.6 kcal/mol
What forces are at play for the hydrophobic effect?
- Restriction in substrate degree of freedom (unfavorable)
- Restriction in side chain motion (unfavorable)
- Release of surface bound water (favorable)
What is the second law of thermodynamics?
Isolated systems spontaneously evolve towards maximum entropy
What is the statistical definition of entropy?
S = kln(W)
What is the thermodynamic definition of entropy?
delta S = qrev/T
What is the importance of the statistical definition of entropy?
It is the common sense definition
What is the importance of the thermodynamic definition of entropy?
It relates to free energy (delta G)
For a compressed gas moving a piston, what is the work done?
-qrev = -T delta S
How does energy transfer as heat work in biological systems?
Vibrational, rotational, and translational degrees of freedom
How does energy transfer as work work in biological systems?
Changes the ordering of a protein (folding, etc.)
What is an isothermal expansion?
Heat is exchanged for constant temperature
What is an adiabatic expansion?
Heat is not exchanged, so temperature changes