Mathematics of the Genome
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal
Related Research Unit(s)
|Journal / Publication||Foundations of Computational Mathematics|
|Online published||25 Apr 2016|
|Publication status||Published - Oct 2017|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-84964523207&origin=recordpage|
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.
- Genome dynamics, Gene networks, Pitchfork bifurcation, Hopf bifurcation, PERIODIC-ORBITS, CONTROL-SYSTEMS, OSCILLATIONS, EXISTENCE, NETWORKS, DYNAMICS
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