Symmetry and stochastic gene regulation.
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.
Ramos
Alexandre F
AF
Instituto de Fisica de S. Carlos, Universidade de S. Paulo, Caixa Postal 369, BR-13560-970, S. Carlos, S. P, Brazil. aramos@ifsc.usp.br
Hornos
José E M
JE
D000465:Algorithms; D001703:Biophysics / Q000379:methods; D004926:Escherichia coli / Q000378:metabolism; D015870:Gene Expression; D015964:Gene Expression Regulation, Bacterial; D005822:Genetic Vectors; D008390:Markov Chains; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D011336:Probability; D013269:Stochastic Processes; D049490:Systems Biology