How does this fit the equation of a hyperbola?

[sparkle123]

As far as I know, a hyperbola has the equation

So how does this (below) work?

Thanks!

 

[I like Serena]

Do you have the definitions of v₀, S and ?

 

[sparkle123]

is substrate concentration
vo is the initial rate of an enzyme-catalyzed reaction
Thanks!

 

[I like Serena]

is substrate concentration
vo is the initial rate of an enzyme-catalyzed reaction
Thanks!

Ah, so we're talking about a model where vo is predicted based on a substrate concentration .
I presume the model leads to the formula you presented?

I guess you should know that y = 1/x also describes a hyperbola with its asymptotes aligned with the coordinate axes.
If you would draw a plot of your formula, you'll see that it is a hyperbola.

You can see that for instance here: http://www.wolframalpha.com/input/?i=Plot[(2+x)/(3+++x),+{x,+-15,+15}

The parameters a and b seem to be arbitrary parameters that do not describe the geometric shape of the hyperbola.
I could find out what the actual geometric parameters are, but I suspect that's not really relevant in your case?

[EDIT]I guess that was is relevant in your case is the location of the asymptotes, which are at = -b and at v₀ = a [/EDIT].

 

[sparkle123]

Thank you! :)