The Internal Model Principle for Biomolecular Control Theory
The well-known Internal Model Principle (IMP) is a cornerstone of modern control theory. It stipulates the necessary conditions for asymptotic robustness of disturbance-prone dynamical systems by asserting that such a system must embed a subsystem in a feedback loop, and this subsystem must be able...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Open Journal of Control Systems |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10041993/ |
| _version_ | 1797384347852996608 |
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| author | Ankit Gupta Mustafa Khammash |
| author_facet | Ankit Gupta Mustafa Khammash |
| author_sort | Ankit Gupta |
| collection | DOAJ |
| description | The well-known Internal Model Principle (IMP) is a cornerstone of modern control theory. It stipulates the necessary conditions for asymptotic robustness of disturbance-prone dynamical systems by asserting that such a system must embed a subsystem in a feedback loop, and this subsystem must be able to reduplicate the dynamic disturbance using only the regulated variable as the input. The insights provided by IMP can help in both designing suitable controllers and also in analysing the regulatory mechanisms in complex systems. So far the application of IMP in biology has been case-specific and ad hoc, primarily due to the lack of generic versions of the IMP for biomolecular reaction networks that model biological processes. In this short article we highlight the need for an IMP in biology and discuss a recently developed version of it for biomolecular networks that exhibit maximal Robust Perfect Adaptation (maxRPA) by being robust to the maximum number of disturbance sources. |
| first_indexed | 2024-03-08T21:35:13Z |
| format | Article |
| id | doaj.art-6cd31428b9424649bc971e0e833d812e |
| institution | Directory Open Access Journal |
| issn | 2694-085X |
| language | English |
| last_indexed | 2024-03-08T21:35:13Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Control Systems |
| spelling | doaj.art-6cd31428b9424649bc971e0e833d812e2023-12-21T00:02:16ZengIEEEIEEE Open Journal of Control Systems2694-085X2023-01-012636910.1109/OJCSYS.2023.324408910041993The Internal Model Principle for Biomolecular Control TheoryAnkit Gupta0https://orcid.org/0000-0002-1054-6133Mustafa Khammash1https://orcid.org/0000-0002-4855-9220Department of Biosystems Science and Engineering, ETH-Zürich, Basel, SwitzerlandDepartment of Biosystems Science and Engineering, ETH-Zürich, Basel, SwitzerlandThe well-known Internal Model Principle (IMP) is a cornerstone of modern control theory. It stipulates the necessary conditions for asymptotic robustness of disturbance-prone dynamical systems by asserting that such a system must embed a subsystem in a feedback loop, and this subsystem must be able to reduplicate the dynamic disturbance using only the regulated variable as the input. The insights provided by IMP can help in both designing suitable controllers and also in analysing the regulatory mechanisms in complex systems. So far the application of IMP in biology has been case-specific and ad hoc, primarily due to the lack of generic versions of the IMP for biomolecular reaction networks that model biological processes. In this short article we highlight the need for an IMP in biology and discuss a recently developed version of it for biomolecular networks that exhibit maximal Robust Perfect Adaptation (maxRPA) by being robust to the maximum number of disturbance sources.https://ieeexplore.ieee.org/document/10041993/Biomolecular reaction networksinternal model principlesynthetic biologysystems biology |
| spellingShingle | Ankit Gupta Mustafa Khammash The Internal Model Principle for Biomolecular Control Theory IEEE Open Journal of Control Systems Biomolecular reaction networks internal model principle synthetic biology systems biology |
| title | The Internal Model Principle for Biomolecular Control Theory |
| title_full | The Internal Model Principle for Biomolecular Control Theory |
| title_fullStr | The Internal Model Principle for Biomolecular Control Theory |
| title_full_unstemmed | The Internal Model Principle for Biomolecular Control Theory |
| title_short | The Internal Model Principle for Biomolecular Control Theory |
| title_sort | internal model principle for biomolecular control theory |
| topic | Biomolecular reaction networks internal model principle synthetic biology systems biology |
| url | https://ieeexplore.ieee.org/document/10041993/ |
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