Hill equation and plot

This presentation covers basic review about Hill equation and plot for undergraduate students

1. HILL EQUATION AND PLOT ARYAN 1701029

2. All simple enzymes which follow michaelis menton equation , They will exhibit hyperbolic reaction velocity curve But we have many of enzymes such as regulatory enzymes, allosteric enzyme in our body They have got more than one subunit, basically they are reffered as oligomers (having two or more subunits) So they oligomers enzyme do not follow michelis menton equation Their reaction velocity is not hyperbolic it becomes sigmoidal

3. So in 1910, Archibald Hill   formulated HILL EQUATION to describe the  sigmoidal  O 2  binding curve of  haemoglobin , is used to describe the fraction of a macromolecule saturated by  ligand  as a function of the ligand  concentration . The equation is useful for determining the degree of  cooperativity   ( a phenomenon in which the shape of one subunit of an  enzyme consisting of several subunits is altered by the substrate or some other molecule so as to change the shape of a neighbouring subunit) of the ligand(s) binding to the enzyme or receptor. The  Hill coefficient  provides a way to quantify the degree of interaction between ligand binding sites.

4. Dissociation constant n > 1 - Positively cooperative binding n < 1 - Negatively cooperative binding n=1 - Noncooperative (completely independent) binding

5. Taking the reciprocal of both sides of the Hill equation, rearranging, and inverting again yields: Taking the logarithm of both sides of the equation leads to an alternative formulation of the Hill equation: This last form of the Hill equation is advantageous because a plot of log