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PubMed · 5791545

Oscillations in controlled biochemical systems.

C Walter
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Abstract

Stability analysis of equations describing certain biochemical control mechanisms involving negative feedback suggests that limit cycle behavior might be possible if the control system involves a sufficient number of intermediate chemical steps. For the example considered in this paper, digital simulation of the non-linear control system illustrates that limit cycle behavior actually arises for a sixth-order system. On the other hand, the corresponding fourth- and fifth-order systems are asymptotically stable.

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C Walter. 1969. Oscillations in controlled biochemical systems.. https://doi.org/10.1016/s0006-3495(69)86423-4

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