The single-compartment pharmacokinetic (PK) model is a theoretical model where whole organism is represented as a single, well-mixed compartment. PK of some drugs can be described using this simple models as other influences of the drug absorption,distribution,metabolism and elimination are minor.
This model expects that the drug is already present in the begining of the simulation at concentration c0. Such a PK model can be described by the following integral equation of concentration c over time t with
clearance rate of elimination Cl:
c = c0*e-Cl*t
or in the derivative form:
dc
-- = -Cl * c
dt
Connecting Compartment component with Elimination component leads to equivalent equations defined in components, simplified as:
dM
-- = qm
dt
and
qm = - Cl * c
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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