Week 5 enzyme kinetic 1

Week 5 - Enzyme Kinetics

I. Michaelis-Menten Model

  • Vmax: Maximum attainable rate of reaction with a fixed concentration of enzyme.

  • Km (Michaelis constant): Amount of substrate required for half-maximal reaction rate; indicates enzyme-substrate binding affinity.

  • Kcat: Turnover number; maximum amount of substrate converted per unit time.

  • Kcat/Km: Ratio known as 'catalytic efficiency' or 'specificity constant'.

II. Description of the Michaelis-Menten Model

  • The model describes the interaction of enzyme and substrate, forming an enzyme-substrate complex (E-S complex) in a reversible manner.

  • Governed by two rate constants that yield the formation rate of the E-S complex, favoring the formation due to excess substrate.

  • The equilibrium is quickly established between free enzyme and free substrate plus the E-S complex.

  • Catalysis occurs as the product binds to the active site, eventually leading to product release, described by the rate constant K2.

  • As product concentration increases, enzyme-product complexes may also form, affecting reaction rates in reversible processes.

III. Reaction Dynamics at Steady State

  • With fixed substrate concentration, reactions will produce product until equilibrium is reached, where the rates of forward and reverse reactions equalize.

  • Initial reaction rate values represent the product formed per unit time in the early phase of the reaction, where the reverse reaction is negligible.

  • Steady State Assumption: Concentration of free enzyme (E) and E-S complexes remain constant; substrate concentration typically remains in excess.

  • This assumption allows simplification of the Michaelis-Menten model.

IV. Rate of Reaction (RoR)

  • The rate depends on substrate binding and product release, and initially is first-order with respect to substrate concentration.

  • At low substrate concentrations, the reverse reaction is negligible.

  • The model allows derivation of kinetic constants providing insights into enzyme efficiency and specificity.

V. Effect of Substrate Concentration on Initial Rate

  • Typical Michaelis-Menten Plot: Conducted by incubating fixed enzyme quantity with varying substrate concentrations.

  • As substrate concentration increases, the rate of reaction (RoR) will initially rise almost proportionate to substrate concentration, showing first-order behavior.

  • At higher substrate concentrations, a plateau (approach to Vmax) is reached as enzymes become saturated.

VI. Vmax and Kcat Implications

  • At near Vmax, nearly all enzyme exists in the E-S complex, and the rate of reaction becomes zero-order as it no longer depends on substrate concentration.

  • Vmax serves as a measure of catalytic power, but it is essential to compare it with Kcat for understanding efficiency, as Vmax alone isn't a conclusive measure.

  • Kcat provides the turnover rate per enzyme molecule, facilitating comparisons across different enzyme systems.

VII. Km Value Interpretation

  • Low Km Value: Indicates a high binding affinity between enzyme and substrate; requires less substrate for half-saturation.

  • High Km Value: Indicates a lower binding affinity; more substrate is required for half-saturation.

  • Km is critical for understanding effective catalysis; however, its correlation with binding affinity is limited by factors like dissociation rates and catalytic efficiency.

VIII. Catalytic Efficiency and Reactions

  • Catalytic efficiency is defined by the ratio Kcat/Km, indicating the efficiency with which substrate is converted to product.

  • Effective enzyme catalysis is influenced by diffusion rates and can exhibit high efficiencies (10^8 - 10^9 s^-1 M^-1 considered kinetic perfection).

  • The Michaelis-Menten equation allows quantification of the rate of reaction based on substrate concentration.

IX. Lineweaver-Burk Plot

  • The Lineweaver-Burk (LB) plot transforms the hyperbolic MM curve into a linear form, allowing calculation of Vmax and Km values.

  • The LB plot is particularly effective at analyzing the effects of enzyme inhibitors.

  • Limitations exist due to data bias from the reciprocal scaling leading to inaccuracies in low substrate concentration measurements.

X. Inhibition Mechanisms

  • Competitive Inhibition:

    • Competes directly with substrate for binding to the active site.

    • Binding is reversible; increasing substrate concentration can outcompete the inhibitor.

    • Km increases (lower affinity), but Vmax remains unchanged.

  • Non-Competitive Inhibition:

    • Inhibitor binds to a different site than the active site, stabilizing an inactive enzyme conformation.

    • Substrate can still bind, but the inhibitor prevents catalysis from occurring; Vmax decreases while Km remains unchanged.

XI. Irreversible Inhibition

  • Involves tight binding to the enzyme, causing permanent inactivation with slow dissociation.

  • Commonly occurs with nerve agents; noted for interactions that form stable covalent bonds with active site residues.

XII. Protein Stability and Denaturation

  • Denaturating Factors: High temperature, extreme pH, denaturing reagents, and high salt concentrations can lead to protein unfolding, aggregation, and loss of function.

  • Renaturation is difficult post-denaturation, especially for large proteins.

XIII. Protein Folding Regulation

  • Correct folding is driven by weak interactions and mediated by chaperones, which assist in achieving the native conformation post-translationally.

  • Chaperones and isomerases are integral to correct protein folding, essential in biological systems.

XIV. Effect of Environmental Changes

  • Changes in pH and temperature affect enzyme activity and overall catalytic performance, adhering to an optimal range for function.

  • Optimal pH varies (cytoplasmic vs. lysosomal vs. digestive enzymes) and can influence enzyme-substrate interactions.