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Biochemical Reaction Rate: Enzyme Kinetics What affect do enzymes and enzyme inhibitors have on enzyme catalysis on a quantitative level? Lipitor inhibits HMG-CoA reductase, a critical step in cholesterol biosynthesis
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Triose Phosphate Isomerase Reaction Progression
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Determining the reaction velocity dependents on what? Product Formation Versus Time
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Reaction Velocity versus Substrate A → P V = -d[A]/dt = d[P]/dt V = k[A] A + B → P V = k[A][B] 2 A → P V = k[A] 2
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Michaelis-Menten Enzyme Kinetics V 0 = V max [S]/([S] + K M ) E + S ↔ ES → E + P Assumptions Single subunit & substrate Product low (V 0 ) ES constant (steady state) Definitions V max = k 2 [E] T ([E] T = [E] + [ES]) K M = (k -1 + k 2 )/k 1 (Michaelis constant) k 1 k 2 k -1 When does V 0 = ½V max ? What is K m ? What is V 0 when S is much smaller than K m ? What is V 0 when S is much larger than K m ?
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Lineweaver-Burk Double-Reciprocal Plot 1/ V 0 = K M / V max 1/S + 1/ V max To calculate K m and V max Y = m X + b
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Michaelis Constant Value: K m A higher K m value means what?
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Enzyme Turn-Over Number: K cat K cat is the substrate turnover to product when the enzyme is fully saturated V max = k 2 [E] T K cat = V max /[E] T k 1 k 2 k -1 E + S ↔ ES → E + P
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Substrate Preference with Chymotrypsin K cat /K M is a measure of Catalytic Efficiency
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Varying the Enzyme For a one-substrate, enzyme-catalyzed reaction, which of the family of curves would you expect to be obtained? Hint: What are the equations for V max and K M ?
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Not a Michaelis-Menten Enzyme-Kinetics Reaction Why not?
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Not a Michaelis-Menten Enzyme- Kinetics Reaction Why not?
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Not a Michaelis-Menten Enzyme- Kinetics Reaction An irreversible inhibitor is present
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Reversible Inhibitors: Competitive Inhibition Reaction Pathway
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Competitive Enzyme Inhibition Reaction Pathway Substrate can out compete inhibitor → V max unchanged since V max = k 2 [E] T Inhibitor binds in the active site → K M increases since K M = (k -1 + k 2 )/k 1 How is Lineweaver-Burk plot altered?
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Competitive Inhibition: Lineweaver- Burk Plot V max Unaltered K M Increased
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Noncompetitive Enzyme Inhibition Is V max affected? How is K M influenced? Reaction Pathway
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Noncompetitive Enzyme Inhibition Reaction Pathway Taking enzyme out of circulation → V max lowered since V max = k 2 [E] T Inhibitor binds both E and ES → K M unchanged since K M = (k -1 + k 2 )/k 1 How is Lineweaver-Burk plot altered?
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Noncompetitive Inhibition – Lineweaver-Burk Plot V max Lowered K M Unchanged
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Uncompetitive Enzyme Inhibition Is V max affected? How is K M influenced? Reaction Pathway
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Uncompetitive Enzyme Inhibition Reaction Pathway Taking enzyme out of circulation → V max lowered since V max = k 2 [E] T Inhibitor binds to E after the substrate binds → K M decreased since K M = (k -1 + k 2 )/k 1 How is Lineweaver-Burk plot altered?
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Uncompetitive Inhibition – Lineweaver-Burk Plot V max Lowered K M Lowered
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Virus Inhibition via Reverse Transcriptase Activity HIV that causes AIDS
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Propose how these molecules function at inhibitors of HIV. Early Developed HIV Drugs
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Reverse Transcriptase Inhibition by Non- Nucleoside Analog Noncompetitive inhibitor binds to a hydrophobic patch on surface of reverse transcriptase
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HIV Protease Cartoon Structure Substrate with side chains binding in hydrophobicpockets Catalytic Asp residues
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HIV Protease Inhibitors Rational drug design based on a detailed knowledge of the enzyme structure Why is it preferable to select a target inhibitor that is unique to the virus and not the host?
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Transition State Analogue Inhibitor Why is the transition state analogue an inhibitor?
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Transition State Analogue Inhibitor Why is the transition state analogue an inhibitor?
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Feedback Inhibition of Phosphofructokinase
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Allosteric Enzyme Regulation of Phosphofructokinase What is the difference on these two curves?
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Green structure w/o PEP; Red configuration w/ PEP Mechanism of Allosteric Inhibition for Phosphofructokinase
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Draw the curve for the appropriate connection between variables. Kinetic Relationships
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Lineweaver-Burk Plot Which reaction has the highest K M and V max value?
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Chapter 7 Problems: 5, 7, 18, 19, 21, 25, 27, 29 and 31
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