---
res:
  bibo_abstract:
  - "Background\r\n\r\nThe chemical master equation (CME) is a system of ordinary
    differential equations that describes the evolution of a network of chemical reactions
    as a stochastic process. Its solution yields the probability density vector of
    the system at each point in time. Solving the CME numerically is in many cases
    computationally expensive or even infeasible as the number of reachable states
    can be very large or infinite. We introduce the sliding window method, which computes
    an approximate solution of the CME by performing a sequence of local analysis
    steps. In each step, only a manageable subset of states is considered, representing
    a "window" into the state space. In subsequent steps, the window follows
    the direction in which the probability mass moves, until the time period of interest
    has elapsed. We construct the window based on a deterministic approximation of
    the future behavior of the system by estimating upper and lower bounds on the
    populations of the chemical species.\r\nResults\r\n\r\nIn order to show the effectiveness
    of our approach, we apply it to several examples previously described in the literature.
    The experimental results show that the proposed method speeds up the analysis
    considerably, compared to a global analysis, while still providing high accuracy.\r\n\r\n\r\nConclusions\r\n\r\nThe
    sliding window method is a novel approach to address the performance problems
    of numerical algorithms for the solution of the chemical master equation. The
    method efficiently approximates the probability distributions at the time points
    of interest for a variety of chemically reacting systems, including systems for
    which no upper bound on the population sizes of the chemical species is known
    a priori.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Verena
      foaf_name: Wolf, Verena
      foaf_surname: Wolf
  - foaf_Person:
      foaf_givenName: Rushil
      foaf_name: Goel, Rushil
      foaf_surname: Goel
  - foaf_Person:
      foaf_givenName: Maria
      foaf_name: Mateescu, Maria
      foaf_surname: Mateescu
      foaf_workInfoHomepage: http://www.librecat.org/personId=3B43276C-F248-11E8-B48F-1D18A9856A87
  - foaf_Person:
      foaf_givenName: Thomas A
      foaf_name: Henzinger, Thomas A
      foaf_surname: Henzinger
      foaf_workInfoHomepage: http://www.librecat.org/personId=40876CD8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000−0002−2985−7724
  bibo_doi: 10.1186/1752-0509-4-42
  bibo_issue: '42'
  bibo_volume: 4
  dct_date: 2010^xs_gYear
  dct_identifier:
  - UT:000277612700001
  dct_language: eng
  dct_publisher: BioMed Central@
  dct_title: Solving the chemical master equation using sliding windows@
...