Developing the General Drug Disposition Equation in Linear Pharmacokinetics

This mathematical observation deals with for the first time regarding the application of Mahgoub transform [ { ()} () ] vt M F t v F t e dt ο ∞ − = ∫ to predict the general disposition correlation in pharmacokinetics. A general drug disposition formula is developed for the n linear mammillary compartment model along with elimination occurring from every compartment. It is obviously plausible to extract the equation for the central compartment with respect to any linear pharmacokinetics. The obtaining mathematical expression predicts the fate of the intravenous input drug in the mammillary body. To be sum up, by using this presented equation, most drug disposition kinetics can be solved easily. Thus, it is cleared that this mathematical method is obviously helpful to observe the providential information in the computational biology field with the starting point in pharmacokinetics.