Robust stability analysis of gene-protein regulatory networks with cyclic activation-inhibition interconnections
- Authors
- Hori, Yutaka; Kim, Tae-Hyoung; Hara, Shinji
- Issue Date
- 2009
- Publisher
- IEEE
- Citation
- ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3, pp 1334 - 1339
- Pages
- 6
- Journal Title
- ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3
- Start Page
- 1334
- End Page
- 1339
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/52764
- ISSN
- 2072-5639
- 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.
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Collections - College of Engineering > School of Mechanical Engineering > 1. Journal Articles
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