Biochemical fluctuations, optimisation and the linear noise approximation
نویسندگان
چکیده
منابع مشابه
Fast evaluation of fluctuations in biochemical networks with the linear noise approximation.
Biochemical networks in single cells can display large fluctuations in molecule numbers, making mesoscopic approaches necessary for correct system descriptions. We present a general method that allows rapid characterization of the stochastic properties of intracellular networks. The starting point is a macroscopic description that identifies the system's elementary reactions in terms of rate la...
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چکیده ندارد.
15 صفحه اولReduced Linear Noise Approximation for Biochemical Reaction Networks with Time-scale Separation : The stochastic tQSSA
Biochemical reaction networks often involve reactions that take place on different time-scales, giving rise to ‘slow’ and ‘fast’ system variables. This property is widely used in the analysis of systems to obtain dynamical models with reduced dimensions. In this paper, we consider stochastic dynamics of biochemical reaction networks modeled using the Linear Noise Approximation (LNA). Under time...
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We investigate the propagation of random fluctuations through biochemical networks in which the number of molecules of each species is large enough so that the concentrations are well modeled by differential equations. We study the effect of network topology on the emergent properties of the reaction system by characterizing the behavior of variance as fluctuations propagate down chains and stu...
متن کاملA simplified derivation of the Linear Noise Approximation
Given a discrete stochastic process, for example a chemical reaction system or a birth and death process, we often want to find a continuous stochastic approximation so that the techniques of stochastic differential equations may be brought to bear. One powerful and useful way to do this is the system size expansion of van Kampen to express a trajectory as a small stochastic perturbation to a d...
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ژورنال
عنوان ژورنال: BMC Systems Biology
سال: 2012
ISSN: 1752-0509
DOI: 10.1186/1752-0509-6-86