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 a mathematical framework for the Repressilator and the Toggle gene circuits.
@article{arxiv.1510.00080,
title = {Mathematics of the Genome},
author = {Indika Rajapakse and Steve Smale},
journal= {arXiv preprint arXiv:1510.00080},
year = {2016}
}