Help with Kinetics-double reciprocal plot

In summary, the author is asking if they need to convert the units on their axes so they are uniform. They then plot points on a deltagraph and find a straight line which is the double reciprocal plot in the form of y=mx+b. The author then asks if KM is the same as Ks. The answer is that as both cases give an equation of exactly the same form v = Vmaxs/(Km + s) the experiment gives you no information about this - you cannot tell the difference.
  • #1
skyblu280
13
0
Hi,

I have an assignment where we basically have to make a Velocity vs. Substrate plot and find the Km and Vmax values.

We then have to do a double reciprocal plot and find the Km and Vmax from that.

My first question is if I have to convert the units of my axes so they are uniform.
The substrate is in micromolar while the Velocity is in micromolar/min. I asked my TA and he said no...but I just wanted to double check.

On the double reciprocal plot, I plotted the points on deltagraph and they gave me a straight line for the double reciprocal plot in the form of y=mx+b

Is KM the same as Ks in this case? I was thinking that I could get the value of Km but having the slope equal to Ks/Vmax. I can read Vmax off the graph and solve for Ks which I would determine it to be equal to KM. Is that a correct assumption?
 
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  • #2
You use a lot of words which you do not define so it is difficult to answer.

For the question about 'uniformization' I guessed what you mean. If you have a table in two columns of 1/s, 1/v it should be obvious a reasonable way to plot them and you seem to have done that.

Slightly worrying loosenesses of expression. It is scarcely more difficult to say 'I can read 1/Vmax from the intercept on the 1/v axis' in which case we would know you know what you are doing than it is to say vaguely 'I can read Vmax off the graph' in which case you may do but we are not sure.

You don't have to solve any equations to get your K, -1/K is the intercept on the 1/s axis, this must be in your textbook or lab manual. However what you say about the slope is also true, helps tie things up together.

I understand your question about Km or Ks to mean 'is my measured constant practically an equilibrium constant, call it kback/kforward or is it a steady-state ('Briggs-Haldane') constant (kback + kcat)/kforward, i.e. do I have a steady state removed from equilibrium?'

The answer is that as both cases give an equation of exactly the same form v = Vmaxs/(Km + s) the experiment gives you no information about this - you cannot tell the difference.

When you hand in your assignment do not forget to put units on your axis and any answers otherwise you will lose marks and more important, not help yourself in future understanding.
 
Last edited:

1. What is a double reciprocal plot?

A double reciprocal plot, also known as a Lineweaver-Burk plot, is a graphical representation of enzyme kinetics data. It plots the inverse of reaction rate (1/V) against the inverse of substrate concentration (1/[S]).

2. How is a double reciprocal plot helpful in enzyme kinetics analysis?

A double reciprocal plot can help determine the maximum velocity (Vmax) and Michaelis-Menten constant (Km) of an enzyme-catalyzed reaction. It also allows for easier identification of competitive and non-competitive inhibitors.

3. How is a double reciprocal plot constructed?

To construct a double reciprocal plot, you need to perform a series of experiments with varying substrate concentrations and record the reaction rates. Then, plot the inverse of reaction rate against the inverse of substrate concentration, and the resulting line can be used to calculate Vmax and Km.

4. What is the significance of the x-intercept and y-intercept in a double reciprocal plot?

The x-intercept represents -1/Km and the y-intercept represents 1/Vmax. These values can be used to calculate the Michaelis-Menten equation, which describes the relationship between reaction rate and substrate concentration.

5. Are there any limitations to using a double reciprocal plot?

Yes, there are some limitations to using a double reciprocal plot. It assumes that the enzyme follows Michaelis-Menten kinetics and that the inhibitor is reversible. It also requires precise and accurate measurement of reaction rates and substrate concentrations.

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