Protein-Ligand Binding Polynomial

[apricimo]

Hello,

 

 

I was wondering if anyone could expand on how taking the derivative dlnY/dlnx of a partition function that describes the different species ligating species, Y=1+kx, in this case a ligand, x, binding to protein with a single site creates the function for average ligation(k is the association constant). That is, after taking this derivative you get Y'=kx/(1+kx).

 

My question is why does this work and where does this derivative come from? Is it somehow derived to get to this point or is it simply an observation?

Edited February 3, 2011 by apricimo

[mississippichem]

Hello,

 

 

I was wondering if anyone could expand on how taking the derivative dlnY/dlnx of a partition function that describes the different species ligating species, Y=1+kx, in this case a ligand, x, binding to protein with a single site creates the function for average ligation(k is the association constant). That is, after taking this derivative you get Y'=kx/(1+kx).

 

My question is why does this work and where does this derivative come from? Is it somehow derived to get to this point or is it simply an observation?

 

Are you talking about Michaelis-Menten kinetics? -K- being the Michaelis constant "K", or rate constant "k"?

Edited February 4, 2011 by mississippichem

[apricimo]

Are you talking about Michaelis-Menten kinetics? -K- being the Michaelis constant "K", or rate constant "k"?

 

 

No not michaelis menten.

 

This is a general partition function.