Approximating intrinsic noise in continuous multispecies models

作者：Scott Matthew^*; Poulin Francis J; Tang Herbert

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2011, 467(2127): 718-737.

DOI：10.1098/rspa.2010.0275

• multispecies linear noise approximation
• intrinsic noise
• pattern formation
• Turing instability
• method of compounding moments

In small-scale chemical reaction networks, the local density of molecules is changed by discrete jumps owing to reactive collisions, and through transport. A systematic perturbation scheme is developed to analytically characterize these non-equilibrium intrinsic fluctuations in a multispecies spatially varying system. The method is illustrated on a variety of model systems. In all cases, the continuous approximation method is corroborated with extensive stochastic simulation. As an example of our technique applied to a spatially varying steady state, we demonstrate that a model for embryonic patterning mediated by regulatory mRNA is surprisingly robust to intrinsic fluctuations.

• 出版日期2011-3-8