# Lineweaver burk plot find km and vmax relationship

### Determination of Vmax and Km

To be analytically useful we need to write Equation \(\ref{}\) in terms of the . The Lineweaver–Burk plot was widely used to determine important terms in Km = slope × Vmax = molimM × mol = mM. In biochemistry, the Lineweaver–Burk plot (or double reciprocal plot) is a graphical representation of the Lineweaver–Burk equation of The Lineweaver– Burk plot was widely used to determine important terms in enzyme kinetics, such as Km and Vmax, before the wide availability of powerful computers and non- linear. Begin by plotting the Michaelis-Menten equation to get a hyperbole curve. Next , you will obtain the rate of enzyme activity as 1/Vo = Km/Vmax.

So let's take a step away from this idea for a moment, and talk about the three types of enzyme inhibitors. So our first type of inhibitor is called the competitive inhibitor, and it works by binding to free enzyme, or E, to form EI, or enzyme inhibitor complex. And that will block the enzyme and make it unable to react with substrate to form product. So in this case the inhibitor competes with substrate for space on the enzyme.

Our second type of inhibitor is called an uncompetitive inhibitor, and it works by binding to the enzyme-substrate complex to form ESI, which prevents the enzyme from turning substrate into product.

Our third type of inhibitor is called a non-competitive inhibitor, which some people call a mixed inhibitor, as it can act as both a competitive or uncompetitive inhibitor, so it can either bind to free enzyme to form EI, or it can bind to the enzyme-substrate complex to form ESI, neither of which can react to form product. So now what we're going to do is take what we just learned about inhibitors and apply it to the Lineweaver-Burke plots.

- Lineweaver–Burk plot
- 10.2: The Equations of Enzyme Kinetics

So I'll start with competitive inhibition, and I'll draw out these three lines on the plot, labeled one, two, and three, with line one corresponding to the enzyme acting without any inhibitor around. Line two will represent some inhibitor being present, and line three will represent even more inhibitor being present. So as you can see, as you increase the amount of inhibitor blocking the enzyme, the slope of these lines is increasing, while the Y-intercept isn't changing at all.

What this means is that as you increase the concentration of an inhibitor, you're going to see an apparent increase in Km.

Remember that Km is a constant, so it's only an apparent change, and that's due to the increase in the slope of the line. But since the Y-intercept isn't changing when you add a competitive inhibitor, you'll see that this competitive inhibitor has no effect on the enzyme's V max.

So what that means is that competitive inhibitors will increase Km, but leave V max unchanged, meaning that if you really, really increase the concentration of substrate, you'll overcome the effects of the inhibitor as you approach the enzyme's unchanged V max.

As a result, enzyme kinetics study the reaction rate of enzymes in various chemical settings. Many factors affect the speed of an enzyme.

The concentration of a substrate, temperature, inhibitors and pH influence the threshold of an enzyme in a chemical reaction.

With the help of linear relationships such as the Lineweaver-Burk plot, you can find the maximum rate of an enzyme. Then, use the reciprocal of the Michaelis-Menten equation to obtain a slope-intercept form of the enzyme activity.

### Appendix: Vmax and KM Can Be Determined by Double-Reciprocal Plots - Biochemistry - NCBI Bookshelf

Before specific computer software, you would use graph paper to draw the line. Now, you use typical database software to plot the equation.

Use of either method depends on prior knowledge of the mechanism for the reaction and, at least approximately, the optimum conditions for the reaction. If the mechanism is known and complex then the data must be reconciled to the appropriate model hypothesisusually by use of a computer-aided analysis involving a weighted least-squares fit.

Many such computer programs are currently available and, if not, the programming skill involved is usually fairly low. If the mechanism is not known, initial attempts are usually made to fit the data to the Michaelis-Menten kinetic model.

## Enzymatic inhibition and Lineweaver Burk plots

Its use also ensures that there is no effect of reaction reversibility or product inhibition which may affect the integral method based on equation 1. Alternatively the direct linear plot may be used Figure 1. This is a powerful non-parametric statistical method which depends upon the assumption that any errors in the experimentally derived data are as likely to be positive i. It is common practice to show the data obtained by the above statistical methods on one of three linearised plots, derived from equation 1.

Of these, the double reciprocal plot is preferred to test for the qualitative correctness of a proposed mechanism, and the Eadie-Hofstee plot is preferred for discovering deviations from linearity. The direct linear plot.

**Lineweaver-Burk Plot and Reversible Inhibition**