Abstract
A minimal kinetic scheme for a system displaying sustained chemical oscillations is presented. The system is isothermal, and all steps in the scheme are kinetically reversible. The oscillations are analyzed and the crucial points elucidated. Both positive and negative feedback, if properly introduced, support oscillations, provided the state responsible for feedback is optimally buffered. It is shown that the requisite nonlinearity is introduced at the kinetic level because of feedback regulation and not, as is usually assumed, by large affinities that introduce nonlinearity at the thermodynamic level. Hence, sustained oscillations may occur near equilibrium.
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Selected References
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- Chay T. R. Oscillations in vesicular compartments. Biophys Chem. 1981 Aug;13(4):325–328. doi: 10.1016/0301-4622(81)85006-5. [DOI] [PubMed] [Google Scholar]
- Somogyi R., Stucki J. W. Hormone-induced calcium oscillations in liver cells can be explained by a simple one pool model. J Biol Chem. 1991 Jun 15;266(17):11068–11077. [PubMed] [Google Scholar]
- Stucki J. W., Somogyi R. A dialogue on Ca2+ oscillations: an attempt to understand the essentials of mechanisms leading to hormone-induced intracellular Ca2+ oscillations in various kinds of cell on a theoretical level. Biochim Biophys Acta. 1994 Jan 4;1183(3):453–472. doi: 10.1016/0005-2728(94)90073-6. [DOI] [PubMed] [Google Scholar]
- Stucki J. W. Stability analysis of biochemical systems--a practical guide. Prog Biophys Mol Biol. 1978;33(2):99–187. doi: 10.1016/0079-6107(79)90027-0. [DOI] [PubMed] [Google Scholar]
- Walz D. Biothermokinetics of processes and energy conversion. Biochim Biophys Acta. 1990 Sep 19;1019(3):171–224. doi: 10.1016/0005-2728(90)90196-b. [DOI] [PubMed] [Google Scholar]
- Walz D., Caplan S. R. Energy coupling and thermokinetic balancing in enzyme kinetics. Microscopic reversibility and detailed balance revisited. Cell Biophys. 1988 Jan-Jun;12:13–28. doi: 10.1007/BF02918348. [DOI] [PubMed] [Google Scholar]