Model order reduction for Linear Noise Approximation using time-scale separation
In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with ε as the singular perturbation parameter, we obtain...
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| Format: | Article |
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Institute of Electrical and Electronics Engineers (IEEE)
2018
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| Online Access: | http://hdl.handle.net/1721.1/119167 https://orcid.org/0000-0003-2194-3051 https://orcid.org/0000-0001-6472-8576 |
| _version_ | 1826194755422257152 |
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| author | Herath, Narmada K Del Vecchio, Domitilla |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Herath, Narmada K Del Vecchio, Domitilla |
| author_sort | Herath, Narmada K |
| collection | MIT |
| description | In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with ε as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable dynamics of the original system. In particular, we show that, on a finite time-interval, the first and second moments of the reduced system are within an O(ε)-neighborhood of the first and second moments of the slow variable dynamics of the original system. The approach is illustrated on an example of a biomolecular system that exhibits time-scale separation. |
| first_indexed | 2024-09-23T10:01:37Z |
| format | Article |
| id | mit-1721.1/119167 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:01:37Z |
| publishDate | 2018 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1191672022-09-30T18:22:51Z Model order reduction for Linear Noise Approximation using time-scale separation Herath, Narmada K Del Vecchio, Domitilla Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mechanical Engineering Herath, Narmada K Del Vecchio, Domitilla In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with ε as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable dynamics of the original system. In particular, we show that, on a finite time-interval, the first and second moments of the reduced system are within an O(ε)-neighborhood of the first and second moments of the slow variable dynamics of the original system. The approach is illustrated on an example of a biomolecular system that exhibits time-scale separation. United States. Air Force. Office of Scientific Research (grant # FA9550-14-1-0060) 2018-11-16T22:22:29Z 2018-11-16T22:22:29Z 2016-12 2018-11-09T16:58:36Z Article http://purl.org/eprint/type/ConferencePaper 978-1-5090-1837-6 978-1-5090-1838-3 978-1-5090-1844-4 http://hdl.handle.net/1721.1/119167 Herath, Narmada, and Domitilla Del Vecchio. “Model Order Reduction for Linear Noise Approximation Using Time-Scale Separation.” 2016 IEEE 55th Conference on Decision and Control (CDC) (December 2016), Las Vegas, NV, USA, Institute of Electrical and Electronics Engineers (IEEE), 2016. https://orcid.org/0000-0003-2194-3051 https://orcid.org/0000-0001-6472-8576 http://dx.doi.org/10.1109/CDC.2016.7799173 2016 IEEE 55th Conference on Decision and Control (CDC) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) MIT Web Domain |
| spellingShingle | Herath, Narmada K Del Vecchio, Domitilla Model order reduction for Linear Noise Approximation using time-scale separation |
| title | Model order reduction for Linear Noise Approximation using time-scale separation |
| title_full | Model order reduction for Linear Noise Approximation using time-scale separation |
| title_fullStr | Model order reduction for Linear Noise Approximation using time-scale separation |
| title_full_unstemmed | Model order reduction for Linear Noise Approximation using time-scale separation |
| title_short | Model order reduction for Linear Noise Approximation using time-scale separation |
| title_sort | model order reduction for linear noise approximation using time scale separation |
| url | http://hdl.handle.net/1721.1/119167 https://orcid.org/0000-0003-2194-3051 https://orcid.org/0000-0001-6472-8576 |
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