Hill's equation for allosteric enzymes

[pegasus10]

Hello, I am studying the allosteric modulation of enzymatic activity and, in the section that deals with cooperativity, my book mentions Hill's equation: I had already learnt about this equation when studying the cooperative binding of oxygen to haemoglobin, but now I'm finding some difficulties relating this equation to enzymes. So, my question is: what is the final form of Hill's equation for enzymes and what are the steps (at least the first ones) we have to follow to get the equation?

Thanks in advance

[BabcockHall]

IIRC the form of the equation is fundamentally similar to its form for hemoglobin.  Hill's equation was in some sense an exercise in curve fitting.  There was not enough information for a detailed model when he did his work.