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arxiv: 1510.00080 · v5 · pith:7Z73GTQAnew · submitted 2015-10-01 · 🧮 math.DS · q-bio.MN

Mathematics of the Genome

classification 🧮 math.DS q-bio.MN
keywords genomedynamicsequilibriummathematicalstableassociatedbifurcationbifurcations
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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.

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