The single-compartment pharmacokinetic (PK) model with additional periodic 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
References:
Fleishaker, J C and R B Smith (1987-12). “Compartmental model analysis in pharmacokinetics”. en. In: J. Clin. Pharmacol. 27.12, pp. 922–926. ISSN: 0091-2700,1552-4604. DOI: 10.1002/j.1552-4604.1987.tb05591.x. URL: http://dx.doi.org/10.1002/j.1552-4604.1987.tb05591.x.
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