科研之友
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摘要
In this paper, the protein switch in a single-gene network with time delays is investigated, where the gene expression is assumed to be disturbed by multiplicative and additive noises. The impacts of time delays tau(d) and tau(s) in degradation and synthesis processes, time delay tau(g) in global process and cross-correlation between two noises (lambda(i), and i = d, s, g) on the probability distribution and switch time (ST) from low protein level (OFF state) to high one (ON state) are discussed, respectively. Our results show that (1) the increase of the cross-correlation between two noises (lambda(i)) can induce protein switches from ON state to OFF one; (2) for lambda(i) >= 0, the increase of tau(d) can induce protein switches from OFF state to ON one, while tau(s) (or tau(g)) can induce protein switches from the ON state to the OFF one, but for lambda(i) < 0, the tau(d) (or tau(s)) can induce protein switches from the OFF state to the ON one, while tau(g) can induce protein switches from the ON state to the OFF one; (3) the ST as functions of the noise intensities exhibits a maximum, which is the signature of the noise enhanced stability (NES) of the OFF state, while the increase of tau(d) can cause the NES phenomenon to disappear; and (4) tau(d) and tau(s) play opposing roles in the ST, i.e., the impacts of the time delays tau(d) and tau(s) on ST can be canceled each other out.
