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Quantitative Performance Bounds in Biomolecular Circuits due to Temperature Uncertainty

Sen, Shaunak and Murray, Richard M. (2015) Quantitative Performance Bounds in Biomolecular Circuits due to Temperature Uncertainty. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200205-074505122

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Abstract

Performance of biomolecular circuits is affected by changes in temperature, due to its influence on underlying reaction rate parameters. While these performance variations have been estimated using Monte Carlo simulations, how to analytically bound them is generally unclear. To address this, we apply control-theoretic representations of uncertainty to examples of different biomolecular circuits, developing a framework to represent uncertainty due to temperature. We estimate bounds on the steady-state performance of these circuits due to temperature uncertainty. Through an analysis of the linearised dynamics, we represent this uncertainty as a feedback uncertainty and bound the variation in the magnitude of the input-output transfer function, providing a estimate of the variation in frequency-domain properties. Finally, we bound the variation in the time trajectories, providing an estimate of variation in time-domain properties. These results should enable a framework for analytical characterisation of uncertainty in biomolecular circuit performance due to temperature variation and may help in estimating relative performance of different controllers.


Item Type:Report or Paper (Discussion Paper)
ORCID:
AuthorORCID
Sen, Shaunak0000-0002-1412-8633
Murray, Richard M.0000-0002-5785-7481
Additional Information:Research supported in part by the Gordon and Betty Moore Foundation, the NSF Molecular Programming Project, and the Department of Science and Technology, Government of India.
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
NSFUNSPECIFIED
Department of Science and Technology (India)UNSPECIFIED
Record Number:CaltechAUTHORS:20200205-074505122
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200205-074505122
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101127
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Feb 2020 15:51
Last Modified:05 Feb 2020 15:51

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