Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections

Yutaka Hori, Tae Hyoung Kim, Shinji Hara

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

4 Citations (Scopus)

Abstract

This paper studies analytic robust stability criteria for large-scale cyclic gene-protein regulatory network systems with unstructured or parametric uncertainties. We first consider a class of gene expressions, which is described as uncertain Linear Transcription-Translation Models (LTTMs) with not only feedback loops from translation products to transcription but also degradation properties of proteins and mRNAs. We then show that such uncertain models belong to a class of large-scale dynamical linear network systems with a generalized frequency variable, and then propose considerably simple analytic robust stability analysis methods. The developed schemes require less computational burden, and hence can be readily applied to large-scale genetic regulatory networks.

Original languageEnglish
Title of host publicationProceedings of 2009 7th Asian Control Conference, ASCC 2009
Pages1334-1339
Number of pages6
Publication statusPublished - 2009
Externally publishedYes
Event2009 7th Asian Control Conference, ASCC 2009 - Hong Kong, China
Duration: 2009 Aug 272009 Aug 29

Other

Other2009 7th Asian Control Conference, ASCC 2009
CountryChina
CityHong Kong
Period09/8/2709/8/29

Fingerprint

Transcription
Genes
Chemical activation
Proteins
Linear networks
Stability criteria
Gene expression
Feedback
Degradation
Robust stability
Uncertainty
Messenger RNA

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Vision and Pattern Recognition
  • Control and Systems Engineering

Cite this

Hori, Y., Kim, T. H., & Hara, S. (2009). Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections. In Proceedings of 2009 7th Asian Control Conference, ASCC 2009 (pp. 1334-1339). [5276127]

Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections. / Hori, Yutaka; Kim, Tae Hyoung; Hara, Shinji.

Proceedings of 2009 7th Asian Control Conference, ASCC 2009. 2009. p. 1334-1339 5276127.

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

Hori, Y, Kim, TH & Hara, S 2009, Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections. in Proceedings of 2009 7th Asian Control Conference, ASCC 2009., 5276127, pp. 1334-1339, 2009 7th Asian Control Conference, ASCC 2009, Hong Kong, China, 09/8/27.
Hori Y, Kim TH, Hara S. Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections. In Proceedings of 2009 7th Asian Control Conference, ASCC 2009. 2009. p. 1334-1339. 5276127
Hori, Yutaka ; Kim, Tae Hyoung ; Hara, Shinji. / Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections. Proceedings of 2009 7th Asian Control Conference, ASCC 2009. 2009. pp. 1334-1339
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