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) |
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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)