General relationship between transit compartments and lifespan models

Publikationstyp: Zeitschriftenartikel
Autor/innen: Koch, Gilbert; Schropp, Johannes
Erscheinungsjahr: 2012
Erschienen in: Journal of Pharmacokinetics and Pharmacodynamics ; 39 (2012), 4. - S. 343-355. - ISSN 1567-567X. - eISSN 1573-8744
Pubmed ID: 22729453
DOI (zitierfähiger Link): https://dx.doi.org/10.1007/s10928-012-9254-4
Zusammenfassung:
Transit compartment models (TCM) are important tools in pharmacokinetic/pharmacodynamic (PKPD) modeling. In this work we investigate the relationship between TCMs with arbitrary initial values and lifespan models (LSM) with non-constant past and constant lifespan. We show that the total population in all transit compartments converges to a LSM, if the number of compartments n tends to infinity. The key to obtain this result is to establish a relationship between the initial values of the TCM and the non-constant past of the LSM. We apply the result to two already published PKPD models.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Transit compartments, lifespan models, delay differential equations
Universitätsbibliographie: Ja

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KOCH, Gilbert, Johannes SCHROPP, 2012. General relationship between transit compartments and lifespan models. In: Journal of Pharmacokinetics and Pharmacodynamics. 39(4), pp. 343-355. ISSN 1567-567X. eISSN 1573-8744. Available under: doi: 10.1007/s10928-012-9254-4

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