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General relationship between transit compartments and lifespan models

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2012

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http://nbn-resolving.de/urn:nbn:de:bsz:352-227872
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https://doi.org/10.1007/s10928-012-9254-4
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Journal of Pharmacokinetics and Pharmacodynamics. 2012, 39(4), pp. 343-355. ISSN 1567-567X. eISSN 1573-8744. Available under: doi: 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.

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Fachgebiet (DDC)
510 Mathematik

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Transit compartments, lifespan models, delay differential equations

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ISO 690KOCH, Gilbert, Johannes SCHROPP, 2012. General relationship between transit compartments and lifespan models. In: Journal of Pharmacokinetics and Pharmacodynamics. 2012, 39(4), pp. 343-355. ISSN 1567-567X. eISSN 1573-8744. Available under: doi: 10.1007/s10928-012-9254-4
BibTex
@article{Koch2012-08Gener-22787,
  year={2012},
  doi={10.1007/s10928-012-9254-4},
  title={General relationship between transit compartments and lifespan models},
  number={4},
  volume={39},
  issn={1567-567X},
  journal={Journal of Pharmacokinetics and Pharmacodynamics},
  pages={343--355},
  author={Koch, Gilbert and Schropp, Johannes}
}
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