Journal of Pharmacokinetics and Pharmacodynamics

, Volume 40, Issue 6, pp 639–650 | Cite as

Solution and implementation of distributed lifespan models

  • Gilbert Koch
  • Johannes Schropp
Original Paper


We consider a population where every individual has a unique lifespan. After expiring of its lifespan the individual has to leave the population. A realistic approach to describe these lifespans is by a continuous distribution. Such distributed lifespan models (DLSMs) were introduced earlier in the indirect response context and consist of the mathematical convolution operator to describe the rate of change. Therefore, DLSMs could not directly be implemented in standard PKPD software. In this work we present the solution representation of DLSMs with and without a precursor population and an implementation strategy for DLSMs in ADAPT , NONMEM and MATLAB . We fit hemoglobin measurements from literature and investigate computational properties.


Lifespan Distribution Convolution Population 



The present project is supported by the National Research Fund, Luxembourg, and cofunded under the Marie Curie Actions of the European Commission (FP7-COFUND).

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Pharmaceutical SciencesState University of New York at BuffaloBuffaloUSA
  2. 2.Department of Mathematics and StatisticsUniversität KonstanzKonstanzGermany

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