Open AccessColored noise induced switch in the gene transcriptional regulatory system
Author(s) -
Can-Jun Wang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.010503
Subject(s) - position (finance) , multiplicative function , noise (video) , physics , multiplicative noise , first hitting time model , colors of noise , statistical physics , mathematics , mathematical analysis , computer science , noise reduction , telecommunications , finance , signal transfer function , transmission (telecommunications) , artificial intelligence , acoustics , analog signal , economics , image (mathematics)
The colored noise induced switch in the gene transcriptional regulatory system is investigated. The approximate Fokker-Planck equation is obtained based on the Novikov theorem and the Fox approach. The explicit expressions of the steady state probability distribution, the mean value, and the mean first passage time are derived. After the numerical computations, these results show that the TF-A monomer concentration switches from the off position to the on position with the self-correlation time of the multiplicative noise increasing. The TF-A monomer concentration switches from the on position to the off position with the self-correlation time of the additive noise increasing. With the two kinds of the self-correlation time increasing, the mean first passage time becomes large, namely, the TF-A monomer concentration switch becomes difficult. The theoretical predictions are found to be in basic agreement with numerical results.