A convex approach to steady state moment analysis for stochastic chemical reactions

Yuta Sakurai, Yutaka Hori

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Model-based prediction of stochastic noise in biomolecular reactions often resorts to approximation with unknown precision. As a result, unexpected stochastic fluctuation causes a headache for the designers of biomolecular circuits. This paper proposes a convex optimization approach to quantifying the steady state moments of molecular copy counts with theoretical rigor. We show that the stochastic moments lie in a convex semi-algebraic set specified by linear matrix inequalities. Thus, the upper and the lower bounds of some moments can be computed by a semidefinite program. Using a protein dimerization process as an example, we demonstrate that the proposed method can precisely predict the mean and the variance of the copy number of the monomer protein.

Original languageEnglish
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1206-1211
Number of pages6
Volume2018-January
ISBN (Electronic)9781509028733
DOIs
Publication statusPublished - 2018 Jan 18
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: 2017 Dec 122017 Dec 15

Other

Other56th IEEE Annual Conference on Decision and Control, CDC 2017
CountryAustralia
CityMelbourne
Period17/12/1217/12/15

Fingerprint

Chemical Reaction
Chemical reactions
Moment
Proteins
Dimerization
Convex optimization
Linear matrix inequalities
Protein
Semi-algebraic Sets
Semidefinite Program
Monomers
Convex Optimization
Convex Sets
Matrix Inequality
Networks (circuits)
Linear Inequalities
Count
Fluctuations
Model-based
Lower bound

ASJC Scopus subject areas

  • Decision Sciences (miscellaneous)
  • Industrial and Manufacturing Engineering
  • Control and Optimization

Cite this

Sakurai, Y., & Hori, Y. (2018). A convex approach to steady state moment analysis for stochastic chemical reactions. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 (Vol. 2018-January, pp. 1206-1211). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2017.8263820

A convex approach to steady state moment analysis for stochastic chemical reactions. / Sakurai, Yuta; Hori, Yutaka.

2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. p. 1206-1211.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sakurai, Y & Hori, Y 2018, A convex approach to steady state moment analysis for stochastic chemical reactions. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 1206-1211, 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, 17/12/12. https://doi.org/10.1109/CDC.2017.8263820
Sakurai Y, Hori Y. A convex approach to steady state moment analysis for stochastic chemical reactions. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Vol. 2018-January. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1206-1211 https://doi.org/10.1109/CDC.2017.8263820
Sakurai, Yuta ; Hori, Yutaka. / A convex approach to steady state moment analysis for stochastic chemical reactions. 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Vol. 2018-January Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1206-1211
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