Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS

The complexity inherent in gene regulatory network models, as well as their nonlinear nature make them difficult to analyze or validate/invalidate using conventional tools. Combining ideas from robust control theory, real algebraic geometry, optimization and semidefinite programming, SOSTOOLS provid...

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Bibliografski detalji
Glavni autori: El-Samad, H, Prajna, S, Papachristodoulou, A, Khammash, M, Doyle, J, IEEE
Format: Conference item
Izdano: 2003
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author El-Samad, H
Prajna, S
Papachristodoulou, A
Khammash, M
Doyle, J
IEEE
IEEE
author_facet El-Samad, H
Prajna, S
Papachristodoulou, A
Khammash, M
Doyle, J
IEEE
IEEE
author_sort El-Samad, H
collection OXFORD
description The complexity inherent in gene regulatory network models, as well as their nonlinear nature make them difficult to analyze or validate/invalidate using conventional tools. Combining ideas from robust control theory, real algebraic geometry, optimization and semidefinite programming, SOSTOOLS provides a promising framework to answer these robustness and model validation questions algorithmically. We adopt these tools in the study of the heat shock response in bacteria. For this purpose, we use a reduced order model of the bacterial heat stress response. We study the robust stability properties of this system to parametric uncertainty, and address the model validation/invalidation problem by proving the necessity for the existence of certain feedback loops to reproduce the known time behavior of the system.
first_indexed 2024-03-07T01:25:19Z
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institution University of Oxford
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spelling oxford-uuid:91c4fc00-c3ab-4990-ab60-5152cf5bf0b42022-03-26T23:20:56ZModel validation and robust stability analysis of the bacterial heat shock response using SOSTOOLSConference itemhttp://purl.org/coar/resource_type/c_5794uuid:91c4fc00-c3ab-4990-ab60-5152cf5bf0b4Symplectic Elements at Oxford2003El-Samad, HPrajna, SPapachristodoulou, AKhammash, MDoyle, JIEEEIEEEThe complexity inherent in gene regulatory network models, as well as their nonlinear nature make them difficult to analyze or validate/invalidate using conventional tools. Combining ideas from robust control theory, real algebraic geometry, optimization and semidefinite programming, SOSTOOLS provides a promising framework to answer these robustness and model validation questions algorithmically. We adopt these tools in the study of the heat shock response in bacteria. For this purpose, we use a reduced order model of the bacterial heat stress response. We study the robust stability properties of this system to parametric uncertainty, and address the model validation/invalidation problem by proving the necessity for the existence of certain feedback loops to reproduce the known time behavior of the system.
spellingShingle El-Samad, H
Prajna, S
Papachristodoulou, A
Khammash, M
Doyle, J
IEEE
IEEE
Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title_full Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title_fullStr Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title_full_unstemmed Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title_short Model validation and robust stability analysis of the bacterial heat shock response using SOSTOOLS
title_sort model validation and robust stability analysis of the bacterial heat shock response using sostools
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