2011/12/31 by Bernhard Altaner, Jürgen Vollmer · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #cond-mat.stat-mech #physics.bio-ph #q-bio.QM
paper · pdf · doi:10.1103/physrevlett.108.228101
published as Phys. Rev. Lett. 108, 228101 (2012) · PACS: 87.10.Mn, 05.40.-a, 05.70.Ln, 87.18.Tt (4 pages, 4 figures)
arxiv created 2012/06/04 · arxiv updated 2012/06/05
Finite stochastic Markov models play a major role for modelling biochemical pathways. Such models are a coarse-grained description of the underlying microscopic dynamics and can be considered mesoscopic. The level of coarse-graining is to a certain extend arbitrary since it depends on the resolution of accomodating measurements. Here, we present a way to simplify such stochastic descriptions, which preserves both the meso-micro and the meso-macro connection. The former is achieved by demanding locality, the latter by considering cycles on the network of states. Using single- and multicycle examples we demonstrate how our new method preserves fluctuations of observables much better than naïve approaches.