منابع مشابه
Fluctuations in gene regulatory networks as Gaussian colored noise.
The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. First, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two important lemmas concerning the variance of an Ito integral and the covariance of two Ito integrals are shown. Based on the lemmas, we give the general formulas f...
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Stochasticity is well recognized to be of crucial importance in the analysis of gene regulatory problems. This importance stems from the fact that extremely rare but important regulatory molecules often cause a great amount of intrinsic noise within a cell. Such systems are frequently modeled at the mesoscopic level as jump Markov processes, whose probability distributions evolve according to t...
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This paper addresses the harmonic retrieval problem in colored linear non-Gaussian noise of unknown covariance and unknown distribution. The assumptions made in the reported studies, that the non-Gaussian noise is asymmetrically distributed and no quadratic phase coupling occurs ,are released. Using the elaborately defined fourth-order cumulants of the complex noisy observations which are obtai...
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Proteins are the functional machinery in living cells. Proteins interact with each other and bind to DNA to form so-called gene regulatory networks and in this way regulate the level, location and timing of expression of other proteins. Cells implement feedback loops to create a memory of their gene expression states. In this way, every differentiated cell in a multicellular organism remembers ...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2010
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.3385468