Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation
As with several engineering systems, bio-molecular systems display impedance-like effects at interconnections, called retroactivity. In this paper, we propose a mechanism that exploits the natural timescale separation present in bio-molecular systems to attenuate retroactivity. Retroactivity enters...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2013
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| Online Access: | http://hdl.handle.net/1721.1/78620 https://orcid.org/0000-0001-6472-8576 |
| _version_ | 1811088989248028672 |
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| author | Jayanthi, Shridhar Del Vecchio, Domitilla |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Jayanthi, Shridhar Del Vecchio, Domitilla |
| author_sort | Jayanthi, Shridhar |
| collection | MIT |
| description | As with several engineering systems, bio-molecular systems display impedance-like effects at interconnections, called retroactivity. In this paper, we propose a mechanism that exploits the natural timescale separation present in bio-molecular systems to attenuate retroactivity. Retroactivity enters the dynamics of a bio-molecular system as a state dependent disturbance multiplied by gains that can be very large. By virtue of the system structure, retroactivity can be arbitrarily attenuated by internal system gains even when these are much smaller than the gains multiplying retroactivity terms. This result is obtained by employing a suitable change of coordinates and a nested application of the singular perturbation theorem on the finite time interval. As an application example, we show that two modules extracted from natural signal transduction pathways have a remarkable capability of attenuating retroactivity, which is certainly desirable in any (engineered or natural) signal transmission system. |
| first_indexed | 2024-09-23T14:11:36Z |
| format | Article |
| id | mit-1721.1/78620 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:11:36Z |
| publishDate | 2013 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/786202022-09-28T19:07:40Z Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation Jayanthi, Shridhar Del Vecchio, Domitilla Massachusetts Institute of Technology. Department of Mechanical Engineering Del Vecchio, Domitilla As with several engineering systems, bio-molecular systems display impedance-like effects at interconnections, called retroactivity. In this paper, we propose a mechanism that exploits the natural timescale separation present in bio-molecular systems to attenuate retroactivity. Retroactivity enters the dynamics of a bio-molecular system as a state dependent disturbance multiplied by gains that can be very large. By virtue of the system structure, retroactivity can be arbitrarily attenuated by internal system gains even when these are much smaller than the gains multiplying retroactivity terms. This result is obtained by employing a suitable change of coordinates and a nested application of the singular perturbation theorem on the finite time interval. As an application example, we show that two modules extracted from natural signal transduction pathways have a remarkable capability of attenuating retroactivity, which is certainly desirable in any (engineered or natural) signal transmission system. United States. Air Force Office of Scientific Research (AFOSR Award FA9550-09-1-0211) 2013-04-26T15:54:52Z 2013-04-26T15:54:52Z 2011-04 2010-02 Article http://purl.org/eprint/type/JournalArticle 0018-9286 INSPEC Accession Number: 11910129 http://hdl.handle.net/1721.1/78620 Jayanthi, Shridhar, and Domitilla Del Vecchio. "Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation." IEEE Transactions on Automatic Control 56(4): 748–761. © Copyright 2011 IEEE. https://orcid.org/0000-0001-6472-8576 en_US http://dx.doi.org/10.1109/TAC.2010.2069631 IEEE Transactions on Automatic Control Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers MIT web domain |
| spellingShingle | Jayanthi, Shridhar Del Vecchio, Domitilla Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title | Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title_full | Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title_fullStr | Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title_full_unstemmed | Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title_short | Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation |
| title_sort | retroactivity attenuation in bio molecular systems based on timescale separation |
| url | http://hdl.handle.net/1721.1/78620 https://orcid.org/0000-0001-6472-8576 |
| work_keys_str_mv | AT jayanthishridhar retroactivityattenuationinbiomolecularsystemsbasedontimescaleseparation AT delvecchiodomitilla retroactivityattenuationinbiomolecularsystemsbasedontimescaleseparation |