How do I find the hill coefficient "n"??

[starseed07]

Hi,
I have a question about Hill Functions...

This is the equation (in case anyone forgot!) --> f(x) = [A(x^n)]/[(t^n)+(x^n)]

Now, I'm given a hill graph and required to find the equation of the function. I have found A and t (theta), but I'm not sure how to find "n".
Do I just have to plug in any x and y value into the equation I have and solve for n?
:?
thanks in advance!

 

[Deleted member 4993]

Hi,
I have a question about Hill Functions...

This is the equation (in case anyone forgot!) --> f(x) = [A(x^n)]/[(t^n)+(x^n)]

Now, I'm given a hill graph and required to find the equation of the function. I have found A and t (theta), but I'm not sure how to find "n".
Do I just have to plug in any x and y value into the equation I have and solve for n?
:?
thanks in advance!

Assuming A to be constant:

A/y - 1 = (t/x)^n

ln (A/y - 1) = n * ln(t/x)

Now you can plot a regression line between the two "new variables" [ln (A/y - 1) & ln(t/x) ] - the slope of the line is your "n".

 

[starseed07]

Thank you!!!

Thats exactly it!!!