Reaction1

A + R > C

Reaction10

MA > A + MA

Reaction11

A + DR > DRp

Reaction12

DRp > A + DR

Reaction13

DR > DR + MR

Reaction14

DRp > DRp + MR

Reaction15

MR > EmptySet

Reaction16

MR > MR + R

Reaction2

A > EmptySet

Reaction3

C > R

Reaction4

R > EmptySet

Reaction5

A + DA > DAp

Reaction6

DAp > A + DA

Reaction7

DA > DA + MA

Reaction8

DAp > DAp + MA

Reaction9

MA > EmptySet

Global parameters
Reaction1
Reaction10
Reaction11
Reaction12
Reaction13
Reaction14
Reaction15
Reaction16
Reaction2
Reaction3
Reaction4
Reaction5
Reaction6
Reaction7
Reaction8
Reaction9

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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Reactions:


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Mechanisms of noise-resistance in genetic oscillators.

  • José M G Vilar
  • Hao Yuan Kueh
  • Naama Barkai
  • Stanislas Leibler
Proc. Natl. Acad. Sci. U.S.A. 2002; 99 (9): 5988-5992
Abstract
A wide range of organisms use circadian clocks to keep internal sense of daily time and regulate their behavior accordingly. Most of these clocks use intracellular genetic networks based on positive and negative regulatory elements. The integration of these "circuits" at the cellular level imposes strong constraints on their functioning and design. Here, we study a recently proposed model [Barkai, N. & Leibler, S. (2000) Nature (London), 403, 267-268] that incorporates just the essential elements found experimentally. We show that this type of oscillator is driven mainly by two elements: the concentration of a repressor protein and the dynamics of an activator protein forming an inactive complex with the repressor. Thus, the clock does not need to rely on mRNA dynamics to oscillate, which makes it especially resistant to fluctuations. Oscillations can be present even when the time average of the number of mRNA molecules goes below one. Under some conditions, this oscillator is not only resistant to but, paradoxically, also enhanced by the intrinsic biochemical noise.
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000035). Biomodels notes: "Figure 2AB reproduced with Copasi 4.5 (build 30)." JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.