Advertisement

On some metric properties of the systems of compartments

  • Aldo Rescigno
  • Giorgio Segre
Article

Abstract

Rules for the enumeration of the strong components of a graph and for the calculation of its variable adjacency matrix are presented. A new method is given to calculate the transfer function of a graphy by analyzing the strong components of the graph, the elementary paths between two nodes, and the linear subgraphs.

Keywords

Transfer Function Biophysics VOLUMe Initial Node Strong Component Principal Minor 
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.

Literature

  1. Baltzer, Richard. 1870.Theorie und Anwendung der Determinanten, 3te Auflage. Leipzig: S. Hirzel, 29.zbMATHGoogle Scholar
  2. Baltzer, Richard. 1875.Theorie und Anwendung der Determinanten, 4te Auflage. Leipzig: S. Hirzel, 38.Google Scholar
  3. Cayley, A. 1849. “Sur les Determinants Gauches.”Journal für die reine und angewandte Mathematik,39, 93–96.CrossRefGoogle Scholar
  4. Cayley, A. 1860. “Note on the Value of Certain Determinants, the Terms of which are the Squared Distances of Points in a Plane or in Space.”Quart. Journ. of Math.,3, 275–277.Google Scholar
  5. Cayley, A. 1861. “Note on the Theory of Determinants.”Philos. Magazine (4)2, 180–185.Google Scholar
  6. Mikusinski, Jan. 1959.Operational Calculus. London: Pergamon.zbMATHGoogle Scholar
  7. Muir, Thomas. 1916. “Question 18033.”Mathematical Questions and Solutions from Educational Times (2)29, 100.Google Scholar
  8. Rescigno, Aldo. 1963. “Synthesis of a Multicompartmented Biological Model.”Biochim. et Biophysica Acta,37, 463–468.CrossRefGoogle Scholar
  9. Rescigno, Aldo. 1963. “Flow Diagrams of Multi-Compartment Systems.”Annals N.Y. Acad. Sci.,108, 204–216.CrossRefGoogle Scholar
  10. Rescigno, Aldo and Giorgio, Segre. 1964. “On Some Topological Properties of the Systems of Compartments.”Bull. Math. Biophysics,26, 31–38.zbMATHCrossRefGoogle Scholar
  11. Stockwell, John N. 1860. “On the Resolution of Symmetrical Equations with Indeterminate Coefficients.”The Astronomical Journal, Cambridge, Massachusetts,6, 145–149.CrossRefGoogle Scholar

Copyright information

© N. Rashevsky 1965

Authors and Affiliations

  • Aldo Rescigno
    • 1
  • Giorgio Segre
    • 2
  1. 1.Lawrence Radiation Laboratory and Division of Medical PhysicsUniversity of CaliforniaBerkeley
  2. 2.Division of Mathematical Biology, Department of MedicineHarvard Medical SchoolBoston

Personalised recommendations