Fluctuation-Preserving Coarse Graining for Biochemical Systems

Bernhard Altaner and Jürgen Vollmer
Phys. Rev. Lett. 108, 228101 – Published 29 May 2012

Abstract

Finite stochastic Markov models play a major role in modeling biological systems. 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 extent arbitrary since it depends on the resolution of accommodating measurements. Here we present a systematic way to simplify such stochastic descriptions which preserves both the meso-micro and the meso-macro connections. The former is achieved by demanding locality, the latter by considering cycles on the network of states. Our method preserves fluctuations of observables much better than naïve approaches.

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  • Received 1 February 2012

DOI:https://doi.org/10.1103/PhysRevLett.108.228101

© 2012 American Physical Society

Authors & Affiliations

Bernhard Altaner and Jürgen Vollmer

  • Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS), 37077 Göttingen, Germany
  • Fakultät für Physik, Universität Göttingen, 37077 Göttingen, Germany

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Issue

Vol. 108, Iss. 22 — 1 June 2012

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