Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 370-379 |
| Number of pages | 10 |
| Journal | Journal of Theoretical Biology |
| Volume | 25 |
| Issue number | 3 |
| State | Published - Dec 1969 |
| Externally published | Yes |
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)
Fingerprint Dive into the research topics of 'Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation'. Together they form a unique fingerprint.
Cite this
Savageau, M. A. (1969). Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation. Journal of Theoretical Biology, 25(3), 370-379.