Mathematics of the Genome
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- Rajapakse, I. & Smale, S. Found Comput Math (2016). doi:10.1007/s10208-016-9316-x
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.