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Published on: March 11, 2015
Symmetry and stochastic gene regulation
Alexandre F Ramos1, José E M Hornos
1Instituto de Fisica de S. Carlos, Universidade de S. Paulo, Caixa Postal 369, BR-13560-970, S. Carlos, S. P, Brazil. aramos@ifsc.usp.br
Abstract:
Lorentz-like noncompact Lie symmetry SO(2,1) is found in a spin-boson stochastic model for gene expression. The invariant of the algebra characterizes the switch decay to equilibrium. The azimuthal eigenvalue describes the affinity between the regulatory protein and the gene operator site. Raising and lowering operators are constructed and their actions increase or decrease the affinity parameter. The classification of the noise regime of the gene arises from the group theoretical numbers.
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