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Russian Journal of Numerical Analysis and Mathematical Modelling

Editor-in-Chief: Dymnikov, Valentin P. / Kuznetsov, Yuri

Managing Editor: Vassilevski, Yuri V.

Editorial Board: Agoshkov, Valeri I. / Amosov, Andrey A. / Kaporin, Igor E. / Kobelkov, Georgy M. / Mikhailov, Gennady A. / Repin, Sergey I. / Shaidurov, Vladimir V. / Shokin, Yuri I. / Tyrtyshnikov, Eugene E.

6 Issues per year

IMPACT FACTOR 2017: 0.662

CiteScore 2017: 0.71

SCImago Journal Rank (SJR) 2017: 0.302
Source Normalized Impact per Paper (SNIP) 2017: 0.929

Mathematical Citation Quotient (MCQ) 2017: 0.13

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Volume 30, Issue 1


On evolution of solution times for the chemical master equation of the enzymatic futile cycle

Sergey V. Dolgov
  • Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow 119333, Russia. Max Planck Institute for Dynamics of Complex Technical Systems,39106 Magdeburg, Germany.
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/ Eugene E. Tyrtyshnikov
Published Online: 2015-02-05 | DOI: https://doi.org/10.1515/rnam-2015-0004


We investigate three tensor product numerical data compression techniques in solution of the chemical master equation for the enzymatic futile cycle and compare them with the previously reported results, obtained by the stochastic simulation algorithm. On this particular example from systems biology, we show the history how the newly proposed tensor product methods reduced the computational complexity of the futile cycle modelling from days on a HPC cluster to hours and even minutes on a workstation.

Keywords: High-dimensional problems; alternating linear scheme; density matrix renormalization group; chemical master equation

About the article

Received: 2014-10-20

Accepted: 2014-10-28

Published Online: 2015-02-05

Published in Print: 2015-02-01

Citation Information: Russian Journal of Numerical Analysis and Mathematical Modelling, Volume 30, Issue 1, Pages 37–42, ISSN (Online) 1569-3988, ISSN (Print) 0927-6467, DOI: https://doi.org/10.1515/rnam-2015-0004.

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