%0 Journal Article
%T The mean first-passage time for a cancer development system driven by colored cross-correlated noises
色交叉关联噪声作用下癌细胞增长系统的平均首通时间
%A Yang Jian-Hua
%A Liu Xian-Bin
%A
杨建华
%A 刘先斌
%J 物理学报
%D 2010
%I
%X In this paper, the mean first-passage times for a cancer development system driven by colored cross-correlated noises are investigated. Based on the Novikov theorem and the Fox approach, the approximate Fokker-Planck equation and the explicit expressions of the mean first-passage time are derived. Numerical results show that: if the coupling strength between the two noises is negative, the mean first-passage time is a decreasing function of the two noise intensities, but an increasing function of the correlation time; if the coupling strength between the two noises is positive, then the value of the monotonic mean first-passage time versus the additive noise intensity depends on the transition direction. And in addition, the mean first-passage time is a non-monotonic function of the multiplicative noise intensity, but a decreasing function of the correlation time.
%K colored cross-correlated noises
%K cancer development system
%K mean first-passage time
色交叉关联噪声
%K 癌细胞增长系统
%K 平均首通时间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=9A9727E4CEF87F080006F1AA5B8BC20A&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=B31275AF3241DB2D&sid=4231CFBD7C99A971&eid=A45611A33EDC4FCE&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=16