Mathematics of the Genome
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 a mathematical framework for the Repressilator and the Toggle gene circuits.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2015
- DOI:
- 10.48550/arXiv.1510.00080
- arXiv:
- arXiv:1510.00080
- Bibcode:
- 2015arXiv151000080R
- Keywords:
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- Mathematics - Dynamical Systems;
- Quantitative Biology - Molecular Networks
- E-Print:
- 15 pages