Retroactivity Attenuation in Bio-Molecular Systems Based on Timescale Separation
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Del Vecchio_Retroactivity attenuation.pdf
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Author(s)
Jayanthi, Shridhar
Del Vecchio, Domitilla
Date Issued
April 2011
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers
Citation
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.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/TAC.2010.2069631
