Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation

Michael A. Savageau

Research output: Contribution to journalArticle

354 Scopus citations


The linearization of the dynamic equations governing biochemical systems is an inadequate approximation procedure, since the dynamic range of the variables is known to produce highly non-linear operation. A power-law approximation technique based on the non-linear nature of these reactions is presented in this paper. The range of validity is considerably greater than in the linear case, while the effort necessary to obtain steady-state solutions is about the same. The approximation procedure is applied to a general n-pool system; the nature and number of the steady-state solutions are derived. An example is also given to illustrate the different types of solutions and their physical interpretation.

Original languageEnglish (US)
Pages (from-to)370-379
Number of pages10
JournalJournal of Theoretical Biology
Issue number3
StatePublished - Dec 1969
Externally publishedYes


ASJC Scopus subject areas

  • Medicine(all)
  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)

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