Some inconsistencies in the passive pharmacokinetics has been observed many years ago. It is possible these inconsistencies result from the lack of proper evolution equations. In this communication, this possibility is illustrated on the example of an evolution equation for an one compartment model. .
A mathematical model of a drug transport after rapid injection is given. It takes into account three processes:-drug plasma protein binding in central compartment-transport processes between the central compartment and the peripheral compartment-elimination of a drug from the central compartment.
The theoretical case is considered where the total amount of plasma protein is conserved, but the drug is eliminated after its single application. After a single drug application at time t = 0, the total drug concentration is measured at times t i ,…,t k and the total drug concentration at time t i is denoted by φ i. Our discussion is limited to one protein… (More)
There has been certain criticism raised by A. Rescigno [2,8,9,12-15] against the standard formulation of pharmacokinetics. In 2011 it has been suggested that inconsistencies in pharmacokinetics should be eliminated after deriving " pharmacokinetic parameters " from conservation laws . In the following text a simple system of conservation laws for… (More)
A lot of criticism against the standard formulation of pharmacokinetics has been raised by several authors. It seems that the natural reaction for that criticism is to comment it from the point of view of the theory of conservation laws. Simple example of balance equations for the intravenous administration of drug has been given in 2011 and the… (More)