Enzyme Kinetics Pt. 2 Flashcards
Michaelis Menten Kinetics Model
- simplest and most well known approach to enzyme kinetics
- equation relating reaction velocity to substrate concentration for a system where the substrate binds reversibly to the enzyme which reacts irreversibly to generate product
Rapid Equilibrium Assumption
- assume ES formation is rapid and achieves equilibrium
- assumes that if Ks is small, the forward reaction is favored, ie. there is strong binding
Steady State Assumption
Assume the concentration of ES complex doesn’t change until all substrate is consumed
The method is based on the assumption that one intermediate in the reaction mechanism is consumed as quickly as it is generated. Its concentration remains the same in a duration of the reaction.
Vmax
The rate of reaction when the enzyme is saturated with substrate is the maximum rate of reaction
Michaelis Menten Graph
- hyperbolic curve
- asymptote gives Vmax
- 1/2 of Vmax gives Km value
- unreliable because of estimation made when finding Vmax values
Km
Km is the concentration of substrate which permits the enzyme to achieve half Vmax
- high Km = low affinity, so more substrate needed to reach Vmax
- low Km = enzyme achieves maximal catalytic efficiency at low substrate concentrations
- k2/k1
Alcohol Consumption
- Alcohol is broken down by acetyl dehydrogenase
- 2 forms of the enzyme: mitochondrial with a low Km and cytosolic with a high Km
- some individuals have a mutated mitochondrial form so only use the cytosolic form
- higher Km = lower affinity for the substrate so less is converted leaving more in the blood - increased alcohol effects
Catalytic Efficiency
Kcat = k2 Vmax = Kcat [Et] Kcat = turnover number, ie. number of reactant processes each active site catalyses per unit time
Kcat/Km
- measure of catalytic efficiency
- gives enzyme substrate preference
- higher number means the enzyme uses the substrate well
Catalytic Perfection
- ratio of Kcat/Km maximal when k2 is much greater than k1 so the product formation is fast compared to its reverse reaction
- therefore, Kcat/Km = k1 and k1 is the rate of ES formation and cannot be faster than the rate of reactant collision
- Kcat/Km only depends on the diffusion controlled limit (10^8-10^9 1/Ms)
- enzyme catalyse a reaction nearly every time a substrate is encountered
LineWeaver Burke Plot
- linearised form of the Michaelis Menten graph
- graph 1/[S] against 1/Vo
- y intercept: 1/Vmax
- x intercept: 1/-Km
- slope: Km/Vmax
LW B Plot Limitations
- most [S] measurements are high values so their reciprocals are crowded on the left hand side of the plot so drawing a straight line is difficult/requires extrapolation
- small [S] values and small errors in Vo gives large 1/Vo errors and hence large errors in kinetic parameter calculations
- 1/V approaches infinity as [S] decreases
- gives more weight to inaccurate measurements made at low concentrations
- gives insufficient weight to more accurate measurements made at high concentrations
Hofstede Eadie Plot
- graph Vo against Vo/[S]
- slope: -Km
- y intercept: Vmax
- x intercept: Vmax/Km
HE Plot Limitations
Can be subject to large error since both coordinates contain dependent variable V but there is less bias on points with low [S]
Hanes Woolf Plot
- graph [S]/Vo against [S]
- slope: 1/Vmax
- y intercept: Km/Vmax
Better fit because of a more even weighting of the data/minimise errors within the data
Reversible Reactions
- MM model assumes the reverse reaction may be neglected
- many reactions are reversible so the product can be converted back to the reactants at a significant rate
Haldens Relationship
- Establish if a reaction will go forwards or backwards
- Keq = [P]eq/[S]eq
Effects of pH
- ph sensitivity of substrate binding
- reduced catalytic efficiency of enzyme
- ionization of substrate
- protein structural changes