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The purpose of this simulation is to visually model how enzymes work and the main factors that affect their activity. There are two main modes: Basic which introduces the two main models of enzyme action and Advanced mode which allows you to systematically investigate the effects of temperature, pH, substrate concentration, competitive inhibitors and non-competitive inhibitors. Note: The aim of this sim is not to produce perfect mathematical models of enzyme action, but to provide a visual physical model, from which largely realistic behaviours emerge, so that students can internalise the key principles involved.
The purpose of this simulation is to visually model how enzymes work and the main factors that affect their activity. There are two main modes: Basic which introduces the two main models of enzyme action and Advanced mode which allows you to systematically investigate the effects of temperature, pH, substrate concentration, competitive inhibitors and non-competitive inhibitors. Note: The aim of this sim is not to produce perfect mathematical models of enzyme action, but to provide a visual physical model, from which largely realistic behaviours emerge, so that students can internalise the key principles involved.
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The cells in our body work as a result of thousands of interacting chemical reactions. Under normal conditions, most of these chemical reactions would be too slow to support life, so our cells contain enzymes to speed them up. Enzymes are proteins that function as catalysts, which means they speed up chemical reactions without being used up. Because we have thousands of different reactions that need enzymes to speed them up, we need thousands of different enzymes to do this job.
Enzymes can generally catalyse two main types of reaction:
In this simulation, we will mostly focus on breakdown reactions, not because they are more important, but simply because they are easier to simulate.
The molecules that an enzyme works on are called its substrate; the substrates are the reactants of the reaction that each enzyme catalyses.
The proteins that enzymes are made from have a complicated and unique 3D structure. Enzyme molecules have an area whose 3D shape matches that of its substrate, such that the substrate is able to enter it like a key sliding into a lock; this area is known as the enzyme’s active site. When one shape is able to fit into another, we describe them as having complementary shapes, so the active site has a complementary shape to the substrate. Avoid saying they have the same shape, because they are actually more like opposites!
We can understand how enzymes work using the lock-and-key model which works as follows:
This is called the lock-and-key model because the enzyme’s active site is like a lock and the substrate like the key to that lock. Much like the way that only a key with the right shape can open a lock, only a substrate with a suitable shape can enter the active site, so we need thousands of different enzymes for the thousands of types of substrates. Also, a bit like how the master-key to your school building can open all of the different locks, some substrates can work with more than one enzyme, and some enzymes can work with more than one (similar) substrates. The scientific word to describe the relationship between enzyme and substrate is specificity: enzymes are specific to their substrates because they only work with specific substrates that are complementary to their active site.
Depending on the enzyme, this can take place anywhere between less than one to several hundred thousand times in a single second.
The lock and key model shows how important the shape of the active site is. Sometimes an enzyme’s active site can change shape so that it is no longer complementary to the substrate. Small changes to the shape of the active site can make it harder for the substrate to enter, and make the substrate react more slowly once it does, resulting in reduced activity (rate) of the enzyme. Sometimes there are large changes to the active site and the wider 3D structure of the enzyme, which mean the substrate no longer fits at all and the enzyme no longer functions as a catalyst; at this point we say the enzyme has become denatured, the process of denaturation is often irreversible, especially when it results from high temperatures.
Enzymes can be denatured by the effects of both pH and temperature.
When first learning about how enzymes work, students are generally taught the lock-and-key model as it is an easy first step towards understanding, but it is limited because it makes enzymes seem like they have a fixed, rigid shape, when in reality their shapes undergo constant, small changes.
In the induced-fit model of enzymes, there is still an active site, and there is still a substrate, the difference is in how the active site changes during the process. Before a substrate docks with the enzyme, the shape of the active site is broadly complementary to the substrate; however, as the substrate docks the active site changes shape to become a better fit. Step-by-step, the induced fit model works something like this:
At post-16 studies, it is generally more appropriate to learn the induced fit model as it is a more accurate representation of how enzymes work. This is not to say that the lock-and-key model is entirely wrong, just that it contains reasonable simplifications and that the induced fit model is more complete because it removes one of these simplifications.
The temperature at which an enzyme shows the greatest activity (works fastest) is called the optimum temperature. The relationship between enzyme activity and temperature is determined by the balance of two factors:
Enzymes work fastest at their optimum temperature because this is when the combination of high collision frequency and highly complementary active site shape allows enzyme-substrate complexes to be formed at their highest rate. The optimum temperature of the enzymes found in the human body is typically around 40 °C (although it varies significantly between enzymes), slightly above the human body temperature of 37 °C.
The graph of enzyme activity vs temperature for a given enzyme looks something like the below.
The graph slopes upwards with an increasing gradient towards the optimum temperature as the molecules move faster, which increases the frequency and energy of collisions, leading to a greater rate of enzyme-substrate complex formation. At the optimum temperature, collisions are happening at high frequency whilst the active site is still highly complementary. Beyond the optimum temperature, enzyme activity starts to fall because the increase in collisions is more than offset by changes in the shape of the active site, making it harder for substrates to bind to it. At significant temperatures above the optimum, the active site changes shape so much that the enzyme becomes denatured, and activity drops to zero.
The graph below shows the relationship between pH and enzyme activity. As you can see, there is an optimum pH at which the enzyme works at the maximum rate. It then decreases in activity with small changes in pH above or below the optimum, with larger changes in pH resulting in larger decreases in activity until it eventually drops to zero. Most enzymes in the body have an optimum pH of around 7, although this can be as low as pH 1.5–2 for the digestive enzyme pepsin in our stomachs, and as high as pH 10 for enzymes such as alkaline phosphatase.
The shape of the graph can be explained by the effects of two factors:
The graph below shows the relationship between the concentration of substrate molecules and the rate of an enzyme-controlled reaction.
As the concentration of the substrate increases, the rate of that reaction also increases because there is an increased frequency of collisions between substrate and enzyme molecules, so there is an increased rate of enzyme-substrate complex formation. At high substrate concentrations, further concentration increases lead to smaller and smaller increases in the rate until a maximum rate is achieved. This happens because there is a limit to the number of times each second that a substrate can bind to the active site, react and the products vacate the active site. As an analogy: if I gave you one chocolate to eat each hour, the rate you ate chocolates would be one per hour; if I gave you one each minute, the rate you ate them would be 60 per hour, but if I gave you one each second the rate you eat them would not be 3,600 per hour because it takes you longer than a second to eat each one.
Note: In this sim, it consistently seems that at the highest substrate concentrations, the activity actually decreases slightly. This is not realistic behaviour and is a result of trying to model highly complex 3D systems in a simplified 2D form. The key thing to take away here is that enzyme activity increases with substrate concentration, but stops increasing any further once the substrate concentration has reached a certain level.
Post-16: The maximum rate at which an enzyme works is known as Vmax. Vmax varies widely depending on the enzyme and is fixed for a given enzyme, for a given temperature and enzyme concentration. The substrate concentration at which half of Vmax is reached for a particular enzyme is known as its Michaelis constant, Km. This is considered an indicator of how effectively an enzyme binds to its substrate, with lower values indicating stronger binding because the enzyme is able to achieve higher activity at lower concentrations.
Some molecules can have a sufficiently similar shape to an enzyme’s substrate that they can also bind to the active site; this binding can be reversible or permanent. In situations like this, the substrate finds itself in competition for the active site and the molecule it is competing with is called a competitive inhibitor. By occupying the active sites for some of the time, competitive inhibitors reduce the rate of enzyme-substrate complex formation, and thus the overall level of enzyme activity.
In the image above, the left enzyme molecule has a purple substrate bound to its active site, showing the enzyme functioning normally; in the right one, an orange competitive inhibitor has bound to the active site, preventing a substrate molecule from binding and forming an enzyme-substrate complex.
As the concentration of competitive inhibitor molecules increases, the chance of substrates forming enzyme-substrate complexes decreases, so enzyme activity decreases, as can be seen in the graph below.
In the presence of a competitive inhibitor, enzyme activity is reduced below its maximum, Vmax. However, if you increase the substrate concentration sufficiently, it increases the likelihood that the molecule binding to the active site will be a substrate rather than an inhibitor, and enzyme activity will once again approach Vmax. Competitive inhibition does not change Vmax, but does change the effective Km because a higher substrate concentration is required to achieve half of Vmax.
Some molecules are able to bind to regions on the enzyme other than the active site in ways that do not prevent the formation of enzyme-substrate complexes but prevent the enzyme from catalysing the reaction, causing the activity of inhibitor-bound enzymes to drop to zero.
In the image above, the left enzyme is unaffected by a non-competitive inhibitor, so it will be able to catalyse a reaction as normal. In the right one, a non-competitive inhibitor molecule has bound to the enzyme, so even though a substrate has also bound to the active site, no reaction can take place as a result of the inhibitor.
As the concentration of non-competitive inhibitor molecules increases, the proportion of enzyme molecules with inhibitors bound to them increases, so enzyme activity decreases because there are fewer unaffected enzyme molecules able to catalyse reactions.
In the presence of a non-competitive inhibitor, enzyme activity is reduced, and increasing the substrate concentration will not return it towards Vmax, as the inhibitors are not competing with substrates for access to the active site and so will have the same inhibiting effect regardless of substrate concentration. As such, the presence of a non-competitive inhibitor reduces Vmax but does not affect Km. Removing the inhibitor will restore the enzyme to normal functioning. It is worth noting that the sim uses a pure non-competitive model but real inhibitor behaviour can be more complex than this.
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