General relationship between transit compartments and lifespan models
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| Type of Publication: | Journal article |
| Author: | Koch, Gilbert; Schropp, Johannes |
| Year of publication: | 2012 |
| Published in: | Journal of Pharmacokinetics and Pharmacodynamics ; 39 (2012), 4. - pp. 343-355. - ISSN 1567-567X. - eISSN 1573-8744 |
| Pubmed ID: | 22729453 |
| DOI (citable link): | https://dx.doi.org/10.1007/s10928-012-9254-4 |
| Summary: |
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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| Subject (DDC): | 510 Mathematics |
| Keywords: | Transit compartments, lifespan models, delay differential equations |
| Bibliography of Konstanz: | Yes |
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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
@article{Koch2012-08Gener-22787, title={General relationship between transit compartments and lifespan models}, year={2012}, doi={10.1007/s10928-012-9254-4}, 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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