Extending the quasi-steady state approximation by changing variables
- 334 Downloads
The parameter domain for which the quasi-steady state assumption is valid can be considerably extended merely by a simple change of variable. This is demonstrated for a variety of biologically significant examples taken from enzyme kinetics, immunology and ecology.
KeywordsParameter Domain Slow Time Scale Fast Time Scale Replication Model Total Substrate
Unable to display preview. Download preview PDF.
- Arditi, R. and L. R. Ginzberg. 1989. Coupling in predator-prey dynamics: ratio-dependence.J. Theor. Biol. 139, 311–326.Google Scholar
- Baker, G. A. and P. R. Graves-Morris. 1984. Padé approximants.Encyclopedia of Mathematics and its Applications. New York: Cambridge University Press.Google Scholar
- Beddington, J. R. 1975. Mutual interference between parasites or predators and its effects on searching efficiency.J. Anim. Ecol. 51, 597–624.Google Scholar
- Borghans, J. A. M. and R. J. De Boer. 1995. A minimal model for T-cell vaccination.Proc. R. Soc. London Ser. B 259, 173–178.Google Scholar
- Cha, S. 1970. Kinetic behavior at high enzyme concentrations.J. Biol. Chem. 245, 4814–4818.Google Scholar
- Cha, S. and C.-J. M. Cha. 1965. Kinetics of cyclic enzyme systems.Mol. Pharmacol. 1, 178–189.Google Scholar
- De Boer, R. J. and A. S. Perelson. 1995. Towards a general function for T cell proliferation.J. Theor. Biol. in press.Google Scholar
- Eigen, M. and P. Schuster. 1979.The Hypercycle: A Principle of Natural Self-Organization. Berlin: Springer.Google Scholar
- Reiner, J. M. 1969.The Behavior of Enzyme Systems. New York: Van Nostrand Reinhold.Google Scholar
- Segel, L. A. 1984.Modeling Dynamic Phenomena in Molecular and Cellular Biology. New York: Cambridge University Press.Google Scholar
- Sols, A. and R. Marco. 1970. Concentration of metabolites and binding sites. Implications in metabolic regulation. InCurrent Topics in Cellular Regulation, Vol. 2. New York: Academic Press.Google Scholar