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Protein Function and Enzyme Kinetics: Structured Study Notes

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Protein Function: Enzymes and Catalysis

Introduction to Enzymes

Enzymes are biological catalysts, typically globular proteins, that accelerate the rate of chemical reactions without being consumed in the process. They are essential for maintaining life by facilitating reactions under mild cellular conditions.

  • Enzyme Definition: Globular proteins that speed up reactions by lowering the activation energy.

  • Ribozyme: RNA molecules with catalytic activity.

  • Substrate: The reactant that binds to the enzyme's active site.

  • Active Site: The region of the enzyme where substrate binding and catalysis occur.

  • Example: Hexokinase uses ATP to convert glucose into glucose-6-phosphate during glycolysis.

Enzyme-substrate binding and product release

Enzymes and Reaction Equilibrium

Enzymes do not alter the equilibrium constant (Keq) or the thermodynamic favorability (ΔG) of a reaction. Instead, they accelerate the rate at which equilibrium is reached.

  • Key Point: Enzymes only help reactions reach equilibrium faster; they do not convert 100% of substrate to product.

  • Equilibrium Constant (Keq): Indicates the ratio of product to substrate at equilibrium.

Substrate and product concentrations reaching equilibriumThree reaction equilibrium scenarios

Enzyme Mechanism and Catalysis

Lowering Activation Energy

Enzymes speed up reactions by lowering the activation energy (EA or ΔG‡), which is the energy barrier between substrates and the transition state.

  • Activation Energy (EA): The energy required to initiate a reaction.

  • Transition State (‡): An unstable, high-energy intermediate.

  • Enzyme Effect: Enzymes stabilize the transition state, lowering EA and increasing reaction rate.

  • Enzymes do NOT affect: ΔG (thermodynamic favorability) or Keq (equilibrium constant).

Enzyme lowers activation energy compared to uncatalyzed reaction

Enzyme-Substrate Complex and Binding Energy

The enzyme-substrate (ES) complex is a transient intermediate formed when an enzyme binds its substrate. Binding energy (ΔGB) is the energy released from noncovalent interactions in the ES complex, which helps stabilize the transition state.

  • ES Complex: Intermediate formed during catalysis.

  • Binding Energy (ΔGB): Energy difference between uncatalyzed and catalyzed transition states.

  • Driving Force: Weak noncovalent forces provide the driving force for catalysis.

Reaction coordinate diagram showing ES complex and transition states

Models of Enzyme-Substrate Specificity

Lock & Key vs. Induced Fit Models

Enzyme-substrate specificity is explained by two main models:

  • Lock & Key Model: The active site is rigid and complementary to the substrate shape, like a puzzle piece.

  • Induced Fit Model: The active site is flexible and adjusts to better fit and stabilize the transition state.

  • Modern View: Induced fit is more likely for catalysis, as it prioritizes transition state stabilization and lowers EA.

Lock & Key model of enzyme-substrate bindingInduced Fit model of enzyme-substrate binding

Optimal Enzyme Conditions

Optimal pH and Temperature

Enzymes require specific conditions for optimal activity, including pH and temperature. Each enzyme has its own optimal pH and temperature, which affects its catalytic efficiency.

  • Optimal pH: Most enzymes have a pH at which they are most active. Changes in pH can alter ionizable amino acids and denature the enzyme.

  • Optimal Temperature: Enzymes also have a temperature at which they are most active. Too high or too low temperatures can reduce activity or denature the enzyme.

Optimal pH for pepsin and chymotrypsinOptimal temperature for human and thermophilic enzymes

Enzyme Kinetics

Reaction Rate and Initial Velocity

Reaction rate (v) is the speed at which a reaction proceeds, typically measured as the change in product concentration over time. Initial velocity (V0) is measured at the beginning of a reaction when substrate concentration is highest and reverse reaction is negligible.

  • Reaction Rate (v): Expressed in units of concentration per time (e.g., M/s).

  • Initial Velocity (V0): The best chance for a reaction to approach its maximum velocity (Vmax).

Michaelis-Menten Kinetics

The Michaelis-Menten equation describes the relationship between initial velocity (V0), substrate concentration ([S]), maximum velocity (Vmax), and the Michaelis constant (Km):

  • Michaelis-Menten Equation:

  • Km: Substrate concentration at which V0 = ½ Vmax; measures enzyme affinity for substrate.

  • Vmax: Maximum reaction velocity at saturating substrate concentration.

Lineweaver-Burk Plot

The Lineweaver-Burk plot is a double reciprocal plot used to determine Vmax and Km graphically:

  • Lineweaver-Burk Equation:

  • Y-intercept: 1/Vmax

  • X-intercept: -1/Km

Enzyme Inhibition

Types of Enzyme Inhibitors

Enzyme inhibitors are compounds that decrease enzyme activity. They are classified as irreversible or reversible, with reversible inhibitors further divided into competitive, uncompetitive, mixed, and noncompetitive types.

  • Irreversible Inhibitors: Bind tightly and permanently to the enzyme, inactivating it.

  • Reversible Inhibitors: Bind loosely and temporarily, allowing enzyme activity to be restored.

  • Competitive Inhibitors: Compete with substrate for the active site; increase Km but do not affect Vmax.

  • Uncompetitive Inhibitors: Bind only to the ES complex; decrease both Km and Vmax.

  • Mixed Inhibitors: Bind to either free enzyme or ES complex; affect both Km and Vmax variably.

  • Noncompetitive Inhibitors: Bind to allosteric sites on both free enzyme and ES complex; decrease Vmax but do not affect Km.

Allosteric Regulation

Allosteric Enzymes and Effectors

Allosteric enzymes are regulated by molecules called allosteric effectors, which bind to sites other than the active site and modulate enzyme activity. These enzymes often display sigmoidal (S-shaped) kinetics and are critical in metabolic pathways.

  • Allosteric Effectors: Can be activators (+) or inhibitors (-), and are classified as homotropic (substrate itself) or heterotropic (different molecule).

  • Cooperativity: Binding of one substrate molecule affects the binding of others, leading to positive or negative cooperativity.

Post-Translational Modifications

Regulation of Enzyme Activity

Enzyme activity can be regulated by post-translational modifications such as phosphorylation, methylation, acetylation, ubiquitination, and proteolytic cleavage. These modifications alter enzyme function, stability, or localization.

  • Phosphorylation: Addition of phosphate groups, often mediated by kinases and reversed by phosphatases.

  • Ubiquitination: Attachment of ubiquitin to target proteins, marking them for degradation by proteasomes.

  • Proteolytic Cleavage: Activation of zymogens (inactive enzyme precursors) by cleavage of peptide bonds.

Summary Table: Types of Enzyme Inhibition

Type

Binding Site

Km Change

Vmax Change

Michaelis-Menten Plot

Lineweaver-Burk Plot

Competitive

Active site (free enzyme)

Increase

No change

Curve shifts right

Slope increases, x-intercept changes

Uncompetitive

ES complex

Decrease

Decrease

Curve shifts down

Parallel lines

Mixed

Free enzyme or ES complex

Increase or decrease

Decrease

Curve shifts variably

Slope and intercepts change

Noncompetitive

Allosteric site (E and ES)

No change

Decrease

Curve shifts down

Slope increases, x-intercept unchanged

*Additional info: Academic context and explanations have been expanded for clarity and completeness. Only directly relevant images have been included to reinforce key concepts.*

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