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Limit-Cycle Oscillations and Chaos in Reaction Networks Subject to Conservation of Mass
Enrico Di Cera, Paul E. Phillipson and Jeffries Wyman
Proceedings of the National Academy of Sciences of the United States of America
Vol. 86, No. 1 (Jan. 1, 1989), pp. 142-146
Published by: National Academy of Sciences
Stable URL: http://www.jstor.org/stable/33074
Page Count: 5
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A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors. Limit-cycle oscillations are possible over a wide range of parameter values. Additionally, a cascade of period-doubling bifurcations leading to chaos can coexist with a multiplicity of stable steady states. These results draw attention to the role of unbuffering as a feedback in biochemical systems.
Proceedings of the National Academy of Sciences of the United States of America © 1989 National Academy of Sciences