"… To understand the biochemical mechanisms of this timekeeping, we have developed a detailed mathematical model of the mammalian circadian clock.
Our model can accurately predict diverse experimental data including the phenotypes of mutations or knockdown of clock genes as well as the time courses and relative expression of clock transcripts and proteins.
Using this model, we show how a universal motif of circadian timekeeping, where repressors tightly bind activators rather than directly binding to DNA, can generate oscillations when activators and repressors are in stoichiometric balance.
…"
This is a simple mathematical model of intracellularcircadian clock developed in the paper
Jae Kyoung Kim and Daniel B. Forger (2012) "A mechanism for robust circadian timekeeping via balanced stoichiometry", Molecular Systems Biology
SNF: Single negative feedback loop.
NNF: Negative feedback loop with additional negative feedback loop.
PNF: Negative feedback loop with additional positive feedback loop.
The model is available in the format of
- XPPAUT: *.ode
- Matlab: *.m
- Mathematica: *.nb
- SBML: *.xml