Question

Describe the influence of the three parameters, A, k, and n, on the shape of the graph of the Hill function y=(AX^n)/(x^n+k^n)

Answer 1

Is x the only variable?

Answer 2

yes

Answer 3

For example y=(3x)/(1.2+x) , y=(3x^2)/(1.2^2+x^2), y=(3x^5)/(1.2^5+x^5)

Answer 4

So, at heart, it is 1/x^n, right?

Answer 5

I guess so

Answer 6

I wrote the question excatly as the textbook asks for

Answer 7

Yes, I am sure u did, I am just trying to get a handle on it...

All the other pieces are constants of sone sort or another doing something to 1/x^n.

eg the net effect of all the constants could be that it just scales by k to k/x^n

Answer 8

?

Answer 9

can you be more specific

Answer 10

Sorry, I misled you there, should have used some other letter, p, say....

Answer 11

Let's take the A. all that is doing is scaling the output by a multiple of A

Answer 12

What does this function represent, does it go rapidly to 0?

Answer 13

I am not quite sure what u r asking for but the function is something like this