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Bulletin of Mathematical Biology

, Volume 65, Issue 2, pp 279–308 | Cite as

Mean residence times in linear compartmental systems. Symbolic formulae for their direct evaluation

  • M. J. García-Meseguer
  • J. A. Vidal de Labra
  • M. García-Moreno
  • F. García-Cánovas
  • B. H. Havsteen
  • R. Varón
Article
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Abstract

A complete analysis has been performed of the mean residence times in linear compartmental systems, closed or open, with or without traps and with zero input. This analysis allows the derivation of explicit and simple general symbolic formulae to obtain the mean residence time in any compartment of any linear compartmental system, closed or open, with or without traps, as well as formulae to evaluate the mean residence time in the entire system like the above situations. The formulae are given as functions of the fractional transfer coefficients between the compartments and, in the case of open systems, they also include the excretion coefficients to the environment from the different compartments. The relationship between the formulae derived and the particular connection properties of the compartments is discussed. Finally, some examples have been solved.

Keywords

Entire System Compartmental System Connectivity Property Connectivity Diagram Fractional Transfer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Society for Mathematical Biology 2003

Authors and Affiliations

  • M. J. García-Meseguer
    • 1
  • J. A. Vidal de Labra
    • 2
  • M. García-Moreno
    • 2
  • F. García-Cánovas
    • 3
  • B. H. Havsteen
    • 4
  • R. Varón
    • 5
  1. 1.Departamento de EnfermeríaUniversidad de Castilla-La ManchaAlbaceteSpain
  2. 2.Departamento de Química-FísicaUniversidad de Castilla-La ManchaAlbaceteSpain
  3. 3.Departamento de Bioquímica y Biología Molecular AUniversidad de MurciaMurciaSpain
  4. 4.Biochemisches InstitutChristian-Albrechts-Universität zu KielKielGermany
  5. 5.Departamento de Química-FísicaUniversidad de Castilla-La ManchaAlbaceteSpain

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