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On some topological properties of the systems of compartments

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Abstract

Compartment systems are often used as models for tracer and drug kinetics. The structure of a compartment system is here analyzed by means of theory of graphs methods. In particular the precursor-successor relationship between any two compartments is classified according to the structure of the graph of the system and to the values of the elements of the matrix associated with it.

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Literature

  • Harary, F. 1959. “A Graph Theoretic Method for the Complete Reduction of Matrix with a View toward Finding its Eigenvalues.”Jour. of Mathem. and Physics,38, 104–111.

    MATH  Google Scholar 

  • Marimont, R. B. 1959. “A New Method of Checking the Consistency of Precedence Matrices.”Jour. of the Assoc. for Computing Machinery,6, 164–171.

    MATH  MathSciNet  Google Scholar 

  • Rescigno, A. 1960. “Synthesis of a Multicompartmented Biological Model.”Biochim. et Biophys. Acta,37, 463–468.

    Article  Google Scholar 

  • Rescigno, A. and G. Segre. 1961. “The Precursor-Product Relationship.”Jour. Theoret. Biol.,1, 498–513.

    Google Scholar 

  • — 1964.Drug and Tracer Kinetics. New York: Blaidsdell.

    Google Scholar 

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Authors and Affiliations

  1. Lawrence Radiation Laboratory and Division of Medical Physics, University of California, Berkeley 4, California

    Aldo Rescigno

  2. Division of Mathematical Biology, Department of Medicine of the Harvard Medical School, Boston 15, Massachusetts

    Giorgio Segre

Authors
  1. Aldo Rescigno
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  2. Giorgio Segre
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Supported jointly by NASA and AEC.

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Rescigno, A., Segre, G. On some topological properties of the systems of compartments. Bulletin of Mathematical Biophysics 26, 31–38 (1964). https://doi.org/10.1007/BF02476618

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  • DOI: https://doi.org/10.1007/BF02476618

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