Biochem 5.1  Michaelis-Menten Equation Overview

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Questions and Answers

What does the Michaelis-Menten equation primarily relate?

  • Reaction velocity to substrate concentration (correct)
  • Enzyme efficiency to substrate concentration
  • Maximum reaction velocity to enzyme concentration
  • Substrate binding to product production

Which step in the reaction scheme typically acts as the rate-determining step?

  • Substrate-product conversion (correct)
  • Substrate binding
  • Product unbinding
  • Enzyme activation

Which of the following factors does NOT influence the rate of an enzyme-catalyzed reaction?

  • Temperature fluctuations
  • Substrate availability
  • Product concentration (correct)
  • Enzyme identity

Which component is NOT part of the simplified reaction scheme for an enzyme-catalyzed reaction?

<p>EI (enzyme-inhibitor complex) (A)</p> Signup and view all the answers

What denotes the Michaelis constant in the Michaelis-Menten equation?

<p>The concentration at which reaction velocity is half of $V_{max}$ (C)</p> Signup and view all the answers

Which of the following statements about isozymes is TRUE?

<p>Different isozymes can have different kinetic parameters. (B)</p> Signup and view all the answers

In an enzyme-catalyzed reaction, which step is usually assumed to occur much faster compared to the others?

<p>Substrate binding (D)</p> Signup and view all the answers

What is $V_o$ in the context of the Michaelis-Menten equation?

<p>The overall reaction rate (D)</p> Signup and view all the answers

Which forward rate constant corresponds to substrate binding in the enzyme-catalyzed reaction scheme?

<p>k_1 (B)</p> Signup and view all the answers

What is the assumption regarding the enzymatic reaction in Michaelis-Menten kinetics?

<p>The reaction is considered irreversible. (B)</p> Signup and view all the answers

Which of the following is a key assumption of the steady state approximation?

<p>Concentration of the enzyme-substrate complex remains constant. (D)</p> Signup and view all the answers

Which statement is true regarding enzyme kinetics under physiological conditions?

<p>The assumptions do not hold for physiological kinetics. (B)</p> Signup and view all the answers

What is the consequence of appreciable substrate depletion during an experiment?

<p>It causes the concentration of the enzyme-substrate complex to change. (D)</p> Signup and view all the answers

What does the term 'irreversibility' imply in the context of Michaelis-Menten kinetics?

<p>Product formation is a one-way process. (C)</p> Signup and view all the answers

What can happen if the enzyme-substrate complex $[ES]$ levels are measured before reaching steady state?

<p>It produces unreliable data due to dynamic changes in $[ES]$. (C)</p> Signup and view all the answers

What is the significance of the forward rate constant $k_{cat}$?

<p>It signifies the rate at which product is formed. (C)</p> Signup and view all the answers

In Michaelis-Menten kinetics, what happens to product after it is formed?

<p>It is released from the enzyme irrevocably. (D)</p> Signup and view all the answers

Which of the following enzymes would not follow Michaelis-Menten kinetics?

<p>Enzymes that exhibit cooperativity. (B)</p> Signup and view all the answers

What must occur for the steady state approximation to hold during an experiment?

<p>Initial substrate concentration must be large and stable. (B)</p> Signup and view all the answers

Flashcards

Enzyme kinetics

The study of how quickly enzymes catalyze reactions, focusing on the rate of substrate consumption or product production as a function of substrate and enzyme amounts.

Enzyme activity

A measure of the amount of substrate consumed or product produced per unit time.

Reaction velocity

The rate of substrate consumption or product production as a function of substrate and enzyme amounts.

Vmax

The maximum possible reaction velocity of an enzyme-catalyzed reaction.

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Km

A constant that represents the substrate concentration at which the reaction velocity is half of Vmax.

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Michaelis-Menten equation

The equation that describes the relationship between reaction velocity, Vmax, Km, and substrate concentration.

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Isozymes

Different enzymes that catalyze the same reaction but may have different kinetic parameters.

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Substrate binding

The first step in an enzyme-catalyzed reaction, where the enzyme binds to the substrate.

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Substrate-product conversion

The second step in an enzyme-catalyzed reaction, where the substrate is converted to a product.

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Product unbinding

The final step in an enzyme-catalyzed reaction, where the product is released from the enzyme.

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Irreversibility in Michaelis-Menten kinetics

A key assumption in Michaelis-Menten kinetics stating that the enzymatic reaction proceeds only in one direction, from substrate to product. The formation of product is considered irreversible, meaning the product does not revert back to substrate, and the product does not bind back to the enzyme.

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Steady State Approximation

A critical assumption in Michaelis-Menten kinetics that posits the concentration of the enzyme-substrate complex (ES) remains constant throughout the experiment. This means the rate of ES formation equals the rate of ES breakdown.

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Free Ligand Approximation

This assumption is crucial for applying Michaelis-Menten kinetics to experimental measurements and states that during the early stages of the reaction, the concentration of free substrate (S) remains constant. This allows for the simplification of the kinetic equations.

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Initial reaction velocity (Vo)

The initial velocity of an enzymatic reaction, measured at the very beginning of the reaction when the substrate concentration is high and the product concentration is very low.

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Catalytic rate constant (kcat)

The rate constant for the conversion of the enzyme-substrate complex to product, reflecting the efficiency of the enzyme's catalytic activity.

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Cooperative Enzyme Kinetics

A type of enzyme kinetics that does not follow Michaelis-Menten kinetics, because these enzymes exhibit cooperative binding, meaning the binding of one substrate molecule influences subsequent substrate binding.

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In Vitro Enzyme Kinetics

Experiments examining the kinetics of enzymes in a controlled laboratory setting, usually using isolated enzymes and specific substrates.

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In Vivo Enzyme Kinetics

The study of enzyme kinetics as it occurs within a living organism, considering the complex environment and interactions within the cell or tissue.

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Le Chatelier's Principle

A principle that states that when a stress is applied to a system in equilibrium, the system will shift in a direction that relieves the stress.

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Simplified Model of Enzyme Kinetics

A model that describes enzyme kinetics by assuming a simple, one-step reaction where an enzyme binds to a substrate to form an enzyme-substrate complex, which then breaks down to produce product and release the enzyme.

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Study Notes

Michaelis-Menten Equation

  • Enzyme kinetics studies the speed of enzyme-catalyzed reactions.
  • Enzyme activity measures substrate/product production per time, while kinetics examines the rate as substrate & enzyme amount change.
  • The Michaelis-Menten equation links reaction velocity (V0) to maximum velocity (Vmax), Michaelis constant (Km), and substrate concentration ([S]).
    • V0 = (Vmax[S])/(Km + [S])
  • Reaction rates depend on substrate availability, enzyme concentration, and enzyme type. Different isozymes (same reaction, different enzymes) have different kinetic parameters.
  • Figure 5.1 shows that different enzyme variants (isozymes) affect the reaction rate curves.

Assumptions of Michaelis-Menten Equation

  • The model assumes an enzyme-catalyzed reaction proceeds in three steps:
    • Enzyme-substrate binding
    • Substrate-product conversion (usually rate-limiting)
    • Enzyme-product unbinding
  • Irreversibility: Product formation and unbinding are irreversible.
  • Steady-state approximation: [ES] (enzyme-substrate complex) concentration remains constant throughout the experiment. This assumes initial substrate concentration is high enough to not significantly change during measurement. Initial velocity (V0) is measured, which excludes pre-steady state data.
  • Free ligand approximation: Free substrate concentration ([S]) is roughly equal to initial substrate concentration. This is valid when total enzyme concentration is significantly smaller than substrate.

Additional Concepts

  • Experimentally, enzymes may follow more complex mechanisms than the simplified model.
  • Enzymes with cooperativity don't follow Michaelis-Menten kinetics.
  • The Michaelis-Menten equation applies to in vitro (lab) measurements, not in vivo (physiological) conditions.
  • Enzyme kinetics allows precise quantification of enzyme's kinetic parameters.

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