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

Sergey V. Dolgov, Eugene E. Tyrtyshnikov

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)37-42
Number of pages6
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume30
Issue number1
DOIs
Publication statusPublished - 5 Feb 2015

Keywords

  • Alternating linear scheme
  • Chemical master equation
  • Density matrix renormalization group
  • High-dimensional problems

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation

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