Rate constants rather than biochemical mechanism determine behaviour of genetic clocks

Author:

Conrad Emery1,Mayo Avraham E23,Ninfa Alexander J4,Forger Daniel B15

Affiliation:

1. Mathematical Biology Research Group, Department of Mathematics, University of MichiganAnn Arbor, MI 48109, USA

2. Department of Molecular Cell Biology, The Weizmann Institute of ScienceRehovot 76100, Israel

3. Department of Physics of Complex Systems, The Weizmann Institute of ScienceRehovot 76100, Israel

4. Department of Biological Chemistry, University of Michigan School of MedicineAnn Arbor, MI 48109, USA

5. Center for Computational Medicine and Biology, University of MichiganAnn Arbor, MI 48109, USA

Abstract

Many biological systems contain both positive and negative feedbacks. These are often classified as resonators or integrators. Resonators respond preferentially to oscillating signals of a particular frequency. Integrators, on the other hand, accumulate a response to signals. Computational neuroscientists often refer to neurons showing integrator properties as type I neurons and those showing resonator properties as type II neurons. Guantes & Poyatos have shown that type I or type II behaviour can be seen in genetic clocks. They argue that when negative feedback occurs through transcription regulation and post-translationally, genetic clocks act as integrators and resonators, respectively. Here we show that either behaviour can be seen with either design and in a wide range of genetic clocks. This highlights the importance of parameters rather than biochemical mechanism in determining the system behaviour.

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

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