Inverse Interpolation: The Rate of Enzymatic Reaction based Finite differences, Formulas for obtaining intermediate values of Temperature, Substrate Concentration, Enzyme Concentration and their Estimation of Errors

Inverse interpolation is the process of finding the values of the argument corresponding to a given value of the function when the latter is intermediate between two tabulated values. The finite differences are differences between the values of the function or the difference between the past differences. Finite differences are forward difference, backward difference and divide difference. Temperature, concentration of substrate, concentration of enzyme and other factors are affected the rate of enzymatic reaction. The concentration of substrate is the limiting factor, as the substrate concentration increases, the Enzyme reaction rate increases. Assuming a sufficient concentration of substrate is available, increasing Enzyme concentration will increase the rate of enzymatic reaction. Temperature, concentration of substrate and concentration of enzyme are increased the rate of enzymatic reaction at a limit which is called optimum limit. On the basis of this concept mathematical functions are defined. These mathematical functions are worked in andquot;nandquot; limit. Take the rate of enzymatic reaction is independent variable for finite differences, formulas and their estimation of errors. These formulas are used to obtaining intermediate values of Temperature, substrate concentration and enzyme concentration. If the point lies in the upper half then used forward difference interpolation. If the point lies in the lower half then used backward difference interpolation. When the interval is not equally spaced then used divide difference interpolation.