.Pharmacolibrary.Examples.PKOneCompartmentModel

The single-compartment pharmacokinetic (PK) model with additional dose setting is a theoretical model where whole organism is represented as a single, well-mixed compartment, the drug mass M is absorbed according to its bioavailability, distributed uniformly throughout the apparent volume of distribution, and eliminated at a constant rate. Such a PK model can be described by the following integral equation of concentration c over time t where initial concentration is c0 and

clearance rate of elimination is Cl:

c = c₀*e^-Cl*t  

or in the derivative form:

dc

-- = -Cl * c

dt

Connecting Compartment component with Elimination component leads to equivalent equation, already defined in components:

dM

-- = qm

dt 

and

qm = - Cl * c

and dosage

     adminMass

qm = ---------       during administration, otherwise 0

      duration