enzymology lec 10
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In the context of enzyme kinetics, what does the proportionality (P [ES]) imply about the reaction?

  • The reverse reaction from E + P to ES is favored.
  • The enzyme is saturated with the substrate.
  • The formation of the ES complex is the rate-limiting step.
  • The breakdown of ES to E + P is the rate-limiting step. (correct)

According to the competitive inhibition model presented, (k_{-2}) is assumed to be zero, meaning the reaction (E + P EP ES) proceeds significantly in the reverse direction.

False (B)

In a scenario where (P [ES]), the breakdown of ES to E + P is the __________ __________ __________ (RLS) of the reaction.

rate limiting step

Match the following descriptions with the correct components or assumptions from the competitive inhibition model:

<p>(V_0 = k_2 [ES]) = Initial reaction rate is dependent on the concentration of the enzyme-substrate complex. (P [ES]) = Breakdown of ES to E + P is the rate-limiting step (RLS). ([S]_0) and ([I]_0) &gt;&gt; ([E]<em>0) = The inital concentrations of substrate and inhibitor are much larger than the enzyme concentration. (k</em>{-2} = 0) = The reverse reaction from E + P to ES is negligible.</p> Signup and view all the answers

Competitive inhibitors primarily affect enzymatic reactions by:

<p>Competing with the substrate for the active site. (A)</p> Signup and view all the answers

In competitive inhibition, the inhibitor permanently alters the enzyme's active site, preventing any future substrate binding.

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

In the context of enzyme kinetics, what is the primary consequence of a competitive inhibitor binding to an enzyme?

<p>Reduced enzyme activity</p> Signup and view all the answers

A competitive inhibitor is most effective when its structure closely ______ the substrate.

<p>resembles</p> Signup and view all the answers

Which of the following equations correctly represents the equilibrium constant (Ki) for the binding of an inhibitor (I) to an enzyme (E) to form an enzyme-inhibitor complex (EI)?

<p>$Ki = \frac{[E][I]}{[EI]}$ (A)</p> Signup and view all the answers

In enzyme assays involving inhibitors, what is directly observed at the initial velocity stage?

<p>The rate of product formation with known starting concentrations of enzyme, substrate, and inhibitor. (D)</p> Signup and view all the answers

According to the steady-state assumption, the rate of formation of the enzyme-substrate (E-S) complex is always greater than its rate of breakdown.

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

Match the terms related to enzyme inhibition with their descriptions:

<p>Competitive Inhibitor = Binds to the active site, preventing substrate binding. Equilibrium Constant (Ki) = Indicates the affinity of an inhibitor for an enzyme. Steady-State Assumption = Rate of E-S complex formation equals its breakdown rate.</p> Signup and view all the answers

In uncompetitive inhibition, to which form of the enzyme does the inhibitor bind?

<p>The enzyme-substrate complex (ES) (C)</p> Signup and view all the answers

Inhibitor I directly binds with the free form of the enzyme E in uncompetitive inhibition.

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

What is the ratio in which the enzyme (E) and the substrate (S) bind to each other?

<p>1:1 (D)</p> Signup and view all the answers

In kinetic studies, what is varied at several inhibitor concentrations ([I0])?

<p>Substrate concentration ([S0]) (B)</p> Signup and view all the answers

The binding of the inhibitor to the enzyme always prevents substrate binding.

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

In uncompetitive inhibition, what is the relationship between the inhibitor and the substrate?

<p>The inhibitor binds only to the enzyme-substrate complex. (B)</p> Signup and view all the answers

In uncompetitive inhibition, increasing the substrate concentration can overcome the inhibition.

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

In uncompetitive inhibition, both $K_M$, and _____ are altered.

<p>Vmax</p> Signup and view all the answers

What does the term 'dead-end complex' refer to in the context of uncompetitive inhibition?

<p>A complex that cannot proceed to form the product. (D)</p> Signup and view all the answers

The equilibrium constant, $K_i$, for uncompetitive inhibition represents the affinity of the inhibitor for the free enzyme.

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

Which of the following is true regarding the binding of the inhibitor in uncompetitive inhibition?

<p>The inhibitor's binding site is created only after the substrate binds to the enzyme. (A)</p> Signup and view all the answers

Match the terms with their descriptions related to uncompetitive inhibition:

<p>Uncompetitive Inhibitor = Binds only to the enzyme-substrate complex ESI Complex = The enzyme-substrate-inhibitor complex formed $K_M$ = Michaelis constant, altered in uncompetitive inhibition $V_{max}$ = Maximum reaction rate, reduced in uncompetitive inhibition</p> Signup and view all the answers

In the context of enzyme kinetics, what does the slope of the double reciprocal plot represent when an inhibitor is present?

<p>$\frac{K_M'}{V_{max}}$ (C)</p> Signup and view all the answers

The double reciprocal plot (Lineweaver-Burk plot) directly yields $V_{max}$ as the y-intercept.

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

Write the formula of the slope of a double reciprocal plot in the presence of an inhibitor, where $K_M'$ is the modified Michaelis constant, and $V_{max}$ the maximum rate.

<p>$K_M'/V_{max}$</p> Signup and view all the answers

In the equation for the double reciprocal plot in the presence of an inhibitor, the term that includes the inhibitor concentration [I] is $1 + \frac{[I]}{K_i}$, which modifies the ______.

<p>$K_M$</p> Signup and view all the answers

Match the terms in enzyme kinetics with their representation in the double reciprocal plot:

<p>$\frac{1}{V_0}$ = y-axis $\frac{1}{[S_0]}$ = x-axis $\frac{1}{V_{max}}$ = y-intercept $\frac{-1}{K_M}$ = x-intercept</p> Signup and view all the answers

How does the presence of a competitive inhibitor affect the slope of the double-reciprocal plot?

<p>Increases the slope. (D)</p> Signup and view all the answers

According to the double reciprocal equation given, the x-intercept of the plot is influenced by the concentration of the inhibitor [I].

<p>True (A)</p> Signup and view all the answers

According to the competitive inhibition model, what is the impact on $V_{max}$ and $K_M$?

<p>$V_{max}$ remains unchanged, $K_M$ increases (C)</p> Signup and view all the answers

In the equation slope = $\frac{K_M'}{V_{max}} = \frac{K_M}{V_{max}}(1 + \frac{[I]}{K_i})$, as [I] (the inhibitor concentration) increases, the value of $K_M'$ ______.

<p>increases</p> Signup and view all the answers

In the derivation of enzyme kinetics with the assumption $k_{-2} = 0$, it is assumed that the product (P) does not readily convert back to the enzyme-substrate (ES) complex.

<p>True (A)</p> Signup and view all the answers

Which of the following statements correctly describes the impact of a competitive inhibitor on the double reciprocal plot?

<p>The x-intercept changes, but the y-intercept remains constant. (D)</p> Signup and view all the answers

In competitive inhibition, the apparent $K_M$, denoted as $K_M'$, is equal to $K_M (1 + [I]/ ____ )$ .

<p>Ki</p> Signup and view all the answers

In the equation $V_0 = \frac{V_{max} [S]}{[S] + K_M'}$, what does $K_M'$ represent in the context of competitive inhibition?

<p>The apparent Michaelis constant in the presence of an inhibitor. (B)</p> Signup and view all the answers

Which equation correctly describes the relationship between total enzyme concentration $[E]_0$, free enzyme concentration $[E]$, enzyme-inhibitor complex $[EI]$, and enzyme-substrate complex $[ES]$?

<p>$[E]_0 = [E] + [EI] + [ES]$ (B)</p> Signup and view all the answers

The term $k_{-1}$ represents the rate constant for the formation of the ES complex from E and S.

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

Which of the following scenarios would result in an increase in the concentration of the enzyme-substrate complex [ES]?

<p>An increase in the concentration of free enzyme [E] and substrate [S]. (D)</p> Signup and view all the answers

What is the effect of a competitive inhibitor on a Lineweaver-Burk plot?

<p>The slope of the line increases, and the y-intercept remains the same (B)</p> Signup and view all the answers

Flashcards

Competitive Inhibition

A type of reversible enzyme inhibition where the inhibitor binds to the same active site as the substrate, preventing substrate binding.

Structural Similarity

The inhibitor often has a similar structure to the substrate.

Dead-End Complex

The inhibitor binds to the enzyme, forming a complex that cannot proceed to form product. The substrate is blocked.

Inhibition Constant (Ki)

The equilibrium constant describing the binding of the inhibitor to the enzyme.

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Initial Concentrations

The initial concentrations of enzyme, substrate, and inhibitor in an enzyme assay.

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Steady-State Assumption

The rate of formation of the enzyme-substrate complex equals its rate of breakdown.

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Inhibitor Binding Target

In competitive inhibition, the inhibitor binds only to the free enzyme (E), not the enzyme-substrate complex (ES).

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Reversible Inhibition

Reversible inhibitors can bind to and dissociate from the enzyme, allowing for a dynamic equilibrium between bound and unbound states.

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P ∝ [ES] Meaning

The rate-limiting step (RLS) of the reaction is the breakdown of ES to E + P, which is proportional to the product formation.

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Why is k-2 = 0?

The reverse reaction (E + P ⇌ EP ⇌ ES) is negligible because the breakdown of ES to E + P is the rate-limiting step.

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V0 = k2 [ES] Meaning

The initial velocity (V0) of the reaction is directly proportional to the concentration of the enzyme-substrate complex (ES).

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[S]0 and [I]0 >> [E]0

The concentrations of substrate ([S]0) and inhibitor ([I]0) are much larger than the concentration of enzyme ([E]0).

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Constant [S] and [I]

Changes in substrate ([S]) and inhibitor ([I]) concentrations due to the formation of ES and EI complexes are negligible.

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ES Complex Formation

Enzyme (E) and Substrate (S) bind to form a complex.

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Product Generation

The enzyme acts upon the substrate to generate a product (P) and regenerate the enzyme.

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Inhibitor Binding in uncompetitive Inhibition

Inhibitor (I) binds to the ES complex, preventing the reaction from proceeding.

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Step 1: E + S

Step 1: Enzyme (E) and Substrate (S) bind

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Step 2: ES + I

Step 2: The ES complex binds to the inhibitor I to form ESI.

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Step 3: No Product

Step 3: Product formation is inhibited, altering reaction kinetics. No product is formed

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Effect on Kinetic Parameters

Uncompetitive inhibitors do not exhibit a change in Km, but decrease Vmax.

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ESI Complex

Forms when the inhibitor (I) binds to the enzyme-substrate (ES) complex, creating an ESI complex that cannot form product.

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Overcoming Inhibition

Increasing substrate concentration cannot overcome the inhibition because the inhibitor binds to the ES complex, not the free enzyme.

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KM and Vmax in Uncompetitive Inhibition

Both the Michaelis constant (KM) and the maximum velocity (Vmax) are altered by the presence of the uncompetitive inhibitor.

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Inhibition Constant (Ki) for Uncompetitive Inhibition

Describes the equilibrium between the enzyme-substrate complex (ES) and the inhibitor (I) to form the ESI complex.

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Binding Order in Uncompetitive Inhibition

The enzyme (E) first binds to the substrate (S) to form an ES complex, before the inhibitor (I) can bind.

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Dead-End Complex (ESI)

The complex formed (ESI) is unproductive; it cannot proceed to generate product (P).

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Conformational Change

A change in the enzyme's shape reveals an inhibitor binding site, or the inhibitor binds to the enzyme-bound substrate.

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k−2 = 0 Assumption

The enzyme concentration doesn't change during the short time of the reaction. Important for simplifying kinetic analysis.

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Michaelis Constant (KM)

A constant that relates the concentrations of enzyme, substrate, and enzyme-substrate complex. Reflects the affinity of the enzyme for its substrate.

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Enzyme Conservation

Total enzyme concentration is the sum of free enzyme, enzyme-inhibitor complex, and enzyme-substrate complex.

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Maximum Velocity (Vmax)

The maximum rate of an enzymatic reaction when the enzyme is saturated with substrate.

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Initial Velocity (V0)

Initial reaction rate, important for kinetic measurements.

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Michaelis-Menten equation (V0)

: Vmax[S]/(KM + [S]). Describes reaction rate relative to original constants.

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KM meaning

The substrate concentration at which the reaction rate is half of Vmax. High KM means low affinity.

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Vmax definition

The product of the catalytic rate constant and the total enzyme concentration, representing the maximum possible reaction rate.

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Competitive Inhibition Effects

Competitive inhibition alters the apparent KM, increasing it, while Vmax remains unchanged.

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Double Reciprocal Plot

Can readily obtain the y = mx + b form, used for graphing enzyme kinetics data.

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Lineweaver-Burk Plot Usage

A graphical representation of the Lineweaver-Burk equation, plotting 1/V0 against 1/[S].

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Plot purpose.

Enables kinetic data analysis and determination of inhibition mechanisms.

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Slope of the Double Reciprocal Plot (Competitive Inhibition)

The slope is equal to KM'/Vmax * (1 + [I]/Ki).

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Vmax

Maximum reaction rate achieved when the enzyme is saturated with substrate.

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Apparent Michaelis Constant (KM')

Michaelis constant of the enzyme in the presence of an inhibitor, reflecting the apparent affinity of the enzyme for the substrate.

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[I]

The concentration of inhibitor.

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[S0]

The initial substrate concentration.

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Michaelis-Menten Equation

An equation describing the relationship between initial velocity, substrate concentration, and kinetic parameters (KM and Vmax) for an enzyme-catalyzed reaction.

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Study Notes

  • Lecture #11 is on Enzyme Inhibition - Part 2

Reversible Inhibition

  • Includes: competitive and uncompetitive inhibitions

Competitive Inhibition

  • Competitive inhibitors often resemble the substrates whose reactions they inhibit.
  • Structural similarity allows them to compete for the same binding site on the enzyme.
  • The enzyme-bound inhibitor either lacks the appropriate reactive group or is held in an unsuitable position in the enzyme.
  • This forms a dead-end complex.
  • The inhibitor must dissociate from the enzyme and be replaced by substrate.

Competitive Inhibition Model

  • Enzyme E and substrate S bind in a 1:1 ratio, forming a complex ES.
  • Enzyme E acts on the substrates to generate product P, regenerating the enzyme

Competitive Inhibition Assumptions

  • The E-S complex is in a steady-state, meaning the rate of complex formation from E and S is equal to the rate of its consumption.
  • The breakdown of ES to E + P is the rate-limiting step (RLS) of the reaction, thus the reverse reaction can be ignored.
  • The concentrations of [S] and [I] are much larger than [E]₀.
  • Changes in [S] and [I] due to formation of ES and EI complexes are negligible.

Competitive Inhibition Derivation

  • The conservation of mass dictates that [E]₀ = [E] + [EI] + [ES].
  • Solving for [E], use the equilibrium constant for EI formation and the steady-state assumption for ES.
  • No change in maximum velocity; apparent increase in Michaelis constant (KM)

Competitive Inhibition: Lineweaver-Burk Analysis

  • Kinetic studies with varying substrate concentrations, [S₀], at several inhibitor concentrations, [I₀], help determine inhibition type and Ki.
  • If inhibitor binding blocks the inhibitor-binding site through conformational change or other mechanisms, an identical expression and Lineweaver-Burk signature is obtained.
  • Competitive inhibition plays a role in metabolic processes.

Uncompetitive Inhibition

  • Uncompetitive inhibitors bind only to the ES complex, not the free enzyme.
  • Substrate binding induces a conformational change in the enzyme, revealing an inhibitor binding site, or the inhibitor directly binds the enzyme-bound substrate.
  • The inhibitor does not compete with the substrate for the same binding site.
  • Increasing substrate concentration cannot overcome the inhibition.
  • A dead-end complex ESI is formed.
  • Both KM and Vmax are altered.
  • The effect results in a distinctive kinetic pattern under steady-state conditions.

Uncompetitive Inhibition Model

  • Our enzyme E mixed with a substrate S, they proceed to bind to each other in 1:1 ratio and form a complex ES.
  • The enzyme E acts upon the substrates, generates product P and the enzyme is regenerated. ES complex may bind inhibitor I to yield the ESI complex.

Uncompetitive Inhibition Rare

  • Uncompetitive inhibition patterns are seen with two-substrate reactions and this may help in the elucidation of the reaction mechanism.
  • This is rare for single-substrate enzyme-catalysed reactions.
  • Examples include: 1) inhibition of aryl sulphatase by hydrazine, and 2) inhibition of intestinal alkaline phosphatase by phenylalanine.

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