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Distributed transit compartments for arbitrary lifespan distributions in aging populations

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2015

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https://doi.org/10.1016/j.jtbi.2015.06.018
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Journal of Theoretical Biology. 2015, 380, pp. 550-558. ISSN 0022-5193. eISSN 1095-8541. Available under: doi: 10.1016/j.jtbi.2015.06.018

Zusammenfassung

Transit compartment models (TCM) are often used to describe aging populations where every individual has its own lifespan. However, in the TCM approach these lifespans are gamma-distributed which is a serious limitation because often the Weibull or more complex distributions are realistic. Therefore, we extend the TCM concept to approximately describe any lifespan distribution and call this generalized concept distributed transit compartment models (DTCMs). The validity of DTCMs is obtained by convergence investigations. From the mechanistic perspective the transit rates are directly controlled by the lifespan distribution. Further, DTCMs could be used to approximate the convolution of a signal with a probability density function. As example a stimulatory effect of a drug in an aging population with a Weibull-distributed lifespan is presented where distribution and model parameters are estimated based on simulated data.

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Fachgebiet (DDC)
510 Mathematik

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Cell maturation, Convolution, Gompertz–Makeham, Survival function, Weibull

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ISO 690KOCH, Gilbert, Johannes SCHROPP, 2015. Distributed transit compartments for arbitrary lifespan distributions in aging populations. In: Journal of Theoretical Biology. 2015, 380, pp. 550-558. ISSN 0022-5193. eISSN 1095-8541. Available under: doi: 10.1016/j.jtbi.2015.06.018
BibTex
@article{Koch2015Distr-32591,
  year={2015},
  doi={10.1016/j.jtbi.2015.06.018},
  title={Distributed transit compartments for arbitrary lifespan distributions in aging populations},
  volume={380},
  issn={0022-5193},
  journal={Journal of Theoretical Biology},
  pages={550--558},
  author={Koch, Gilbert and Schropp, Johannes}
}
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