Abstract
This work gives a mathematical foundation for bifurcation from a stable equilibrium in the genome. We construct idealized dynamics associated with the genome. For this dynamics, we investigate the two main bifurcations from a stable equilibrium. Finally, we give mathematical proofs of existence and points of bifurcation for the repressilator and the toggle gene circuits.
| Original language | English |
|---|---|
| Pages (from-to) | 1195-1217 |
| Journal | Foundations of Computational Mathematics |
| Volume | 17 |
| Issue number | 5 |
| Online published | 25 Apr 2016 |
| DOIs | |
| Publication status | Published - Oct 2017 |
Bibliographical note
Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).Research Keywords
- Genome dynamics
- Gene networks
- Pitchfork bifurcation
- Hopf bifurcation
- PERIODIC-ORBITS
- CONTROL-SYSTEMS
- OSCILLATIONS
- EXISTENCE
- NETWORKS
- DYNAMICS
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