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3.2 Factors Affecting Enzyme Action

Syllabus
9700–2028–2029
Topic
3.2
Level
AS

Explain enzyme-rate factors through their limiting mechanism

Compare enzyme factors through the bottleneck they change: successful enzyme–substrate collisions, the number of usable active sites, or the shape and function of those sites. Enzyme rate means the initial change in product or substrate signal per unit time, not simply the final amount.

  • Temperature: Below the enzyme’s optimum, warmer conditions usually increase molecular movement and successful collisions, so the initial rate rises. Above the optimum, bonds maintaining the tertiary structure can be disrupted; the active site changes shape and the rate falls sharply through denaturation.
  • pH: Each enzyme has an optimum pH. Moving away from it changes interactions and charges that maintain the active site, so productive substrate binding becomes less likely; extreme pH can denature the enzyme.
  • Enzyme concentration: More enzyme supplies more active sites, so initial rate can increase while sufficient substrate remains. Once substrate becomes limiting, adding enzyme no longer gives the same increase.
  • Substrate concentration: More substrate increases the chance of enzyme–substrate complex formation while active sites are available. The rate then approaches a plateau when the fixed active sites are saturated.
  • Inhibitor concentration: Increasing inhibitor concentration reduces the fraction of enzyme able to catalyse productively, so the initial rate falls. Whether extra substrate can offset the effect depends on the inhibitor’s binding mechanism.

For a fair factor comparison, vary one factor while controlling the others, including temperature, pH, enzyme and substrate concentrations, volumes, mixing and measurement time. Plot the chosen progress signal against time and compare initial gradients; do not infer a rate from unequal endpoint amounts or from a plateau alone.

Avoid absolute statements such as “higher temperature” or “more enzyme” always increases rate. The direction and curve shape depend on the optimum, denaturation, substrate availability, active-site saturation and inhibitor type. Exact optimum values are enzyme-specific and are not assumed here.

Read Vmax and Km from a substrate-saturation curve

On a graph of initial reaction rate, v, against substrate concentration, [S], Vmax is the capacity ceiling approached when the enzyme’s active sites are saturated. Km is the substrate concentration at which the initial rate is half of Vmax.

v=Vmax2when[S]=Kmv=\frac{V_{\max}}{2}\quad\text{when}\quad [S]=K_m

  1. Find Vmax: Inspect the high-[S] plateau or limiting value approached by the curve; this is the estimated Vmax.
  2. Find half Vmax: Mark the y-value halfway between zero and Vmax.
  3. Read Km: Move horizontally from half Vmax to the curve, then vertically to the [S] axis. That x-value is Km.
  4. Explain the shape: At low [S], adding substrate raises productive complex formation. At high [S], most active sites are occupied, so the curve flattens toward Vmax.

Worked read-off: if a curve approaches a clear plateau, label that plateau Vmax, mark its midpoint on the rate axis, and project from the midpoint through the curve to the substrate axis. The substrate-axis reading at that intercept is Km; do not read Km at the plateau itself.

Km is not the substrate concentration at Vmax. A lower Km can indicate higher apparent affinity only when the same model and comparable conditions apply; Vmax also depends on the amount of active enzyme. Read initial-rate data and do not invent precision beyond the graph.

Measure an initial enzyme rate with a fair test

Initial rate comes from the earliest linear part of a product–time or substrate–time record, before substrate depletion, product accumulation or drifting conditions begin to change the rate.

initial rate=Δproduct formedΔtorΔsubstrateΔt\text{initial rate}=\frac{\Delta \text{product formed}}{\Delta t}\quad\text{or}\quad-\frac{\Delta \text{substrate}}{\Delta t}

  1. Prepare a sensible range of one chosen factor; equilibrate temperature or pH before mixing.
  2. Start every reaction in the same way and record the signal at short, equal intervals.
  3. Calculate the gradient of the earliest linear section.
  4. Repeat each condition, investigate anomalies and plot mean initial rate against the independent variable.

Keep the comparison fair:

  • hold enzyme and substrate source, concentrations and volumes constant unless one is the independent variable;
  • use buffer to control pH and a water bath to control temperature;
  • use the same timing and measurement method for every treatment;
  • include a blank when the method has background colour or signal.

If product concentration rises by 12 µmol dm⁻³ during the first 30 s linear interval, the initial rate is 12 ÷ 30 = 0.40 µmol dm⁻³ s⁻¹. Apply the same interval rule to every treatment.

An endpoint amount is not an initial rate. A fixed endpoint can hide an early rate difference, while uncontrolled temperature or pH can imitate a concentration effect.

Compare competitive and non-competitive inhibition

Reversible inhibitors reduce enzyme activity by limiting productive enzyme–substrate complexes. The binding site determines whether adding more substrate can recover the maximum rate.

Feature Competitive inhibitor Non-competitive inhibitor
Binding site Similar enough to the substrate to compete for the active site Binds at an alternative site and changes the functional active-site shape
Vmax in the standard comparison Unchanged when enough substrate eventually outcompetes the inhibitor Decreased because some enzyme capacity remains functionally unavailable
Apparent Km in the standard comparison Increased: more substrate is needed to reach half of the unchanged Vmax Unchanged in the simple non-competitive model used here
Rate–substrate curve Shifted to the right but approaches the same plateau Lies below the uninhibited curve and approaches a lower plateau
Can more substrate recover the maximum? Yes, in principle, because substrate and inhibitor compete for the same site No, because extra substrate cannot restore the altered active site

Active-site competition lowers the chance that a substrate occupies the site at a given concentration, so increasing substrate can restore productive binding and the original maximum. Alternative-site binding changes the active site on affected enzyme molecules, so increasing substrate cannot recover the lost catalytic capacity. Read Vmax and Km from matched initial-rate saturation curves, not from one inhibitor point.

End-product inhibition is a reversible control example: as the final product accumulates, it binds at an alternative site on an earlier enzyme and slows the pathway. When product concentration falls, inhibition is relieved and the pathway can resume.

The table uses the standard simplified comparison: real data must be judged from the whole curve and matched conditions. Do not identify inhibitor type from one rate value, call alternative-site binding harmless, or introduce irreversible inhibition into this objective.

Immobilised enzymes trade access speed for control and reuse

A free enzyme is added to the reaction solution. An immobilised enzyme is bound to an inert, stationary, insoluble support such as alginate, while substrate is brought to the support and product is collected separately.

Feature Free enzyme Immobilised enzyme
Reaction system Enzyme is mixed into the solution with the substrate Enzyme is retained on an insoluble support; substrate must reach the support
Access and observed rate Direct mixing can make substrate access rapid Access through/around the support can limit the observed rate
Product separation Enzyme remains mixed with the product Product can be collected without carrying the enzyme into the product
Recovery and reuse Recovery from the reaction mixture is difficult Support can be retained and the enzyme reused for repeated processing
Stability and process control Conditions act directly on enzyme in solution Immobilisation can increase tolerance of pH and temperature changes and supports controlled processing
  • Compare equal reaction times and measure product formed per unit time, not just the final product amount.
  • Keep substrate concentration, pH, temperature, total volume and measurement method the same.
  • Match the starting catalytic amount as closely as possible and keep support amount/size consistent when comparing immobilised preparations.
  • Repeat both treatments and compare representative means; a lower observed rate may reflect access or support effects rather than an intrinsically different enzyme mechanism.

In a supported lactase process, milk is passed over alginate beads containing lactase. Lactose is hydrolysed to glucose and galactose while the enzyme remains associated with the support, allowing the product stream to be collected and the preparation reused.

Immobilisation does not make an enzyme permanently stable, guarantee a faster rate, or justify claims that enzyme can never leave the support. Judge the measured system using matched controls and the same time basis; do not invent column dimensions or other apparatus specifications.

Follow the limiting step across the topic

A rate change is evidence about the current bottleneck, not an explanation by itself. Ask whether the observation is best explained by collision frequency, substrate availability, usable active-site capacity, enzyme shape or diffusion.

  • A substrate plateau shows that enzyme capacity now limits rate; the plateau approaches Vmax.
  • Half of Vmax locates Km on the substrate-concentration axis.
  • If more substrate restores the original maximum, competition for active sites is supported.
  • If the maximum remains lower, functional enzyme capacity has been reduced.
  • If immobilised enzyme appears slower, diffusion may be limiting even though reuse and separation improve.

To make a valid conclusion, change one factor, control the others, compare initial rates and stay within the tested range. A single point cannot establish a curve shape or inhibitor type.

Objective notes

4 learning objectives
ConceptA-Level CAIE Biology AS