.Pharmacolibrary.Examples.PKOneCompartmentModelPeriodic

Information

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.




Generated at 2025-07-15T18:20:48Z by OpenModelicaOpenModelica 1.25.1 using GenerateDoc.mos