Retroactivity to the input in complex gene transcription networks

Andras Gyorgy, Domitilla Del Vecchio

    Research output: Contribution to journalConference article

    Abstract

    Synthetic biology is a bottom-up engineering discipline: biological modules are systematically designed with predefined behavior and then combined to build up larger circuits. Although the modules produce the desired behavior in isolation, they fail to operate properly when they are connected due to retroactivity, an effect which extends the notion of impedance to biomolecular systems. Despite playing a central role, retroactivity is not yet characterized in complex gene transcription networks. In this paper, we mathematically describe and quantify this effect. This result is obtained by applying singular perturbation on the finite time interval. We identify the biomolecular counterpart of impedance and introduce the effective retroactivity to the input of a gene. Furthermore, we provide a theorem describing how modules affect each other when connected. We restore modular composition of synthetic circuits by extending the characterization of modules with internal and input retroactivities. We illustrate the implications of the results by investigating crosstalk in a simple genetic system.

    Original languageEnglish (US)
    Article number6426160
    Pages (from-to)3595-3601
    Number of pages7
    JournalProceedings of the IEEE Conference on Decision and Control
    DOIs
    StatePublished - Dec 1 2012
    Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
    Duration: Dec 10 2012Dec 13 2012

    Fingerprint

    Transcription
    Genes
    Gene
    Module
    Networks (circuits)
    Crosstalk
    Impedance
    Synthetic Biology
    Singular Perturbation
    Bottom-up
    Chemical analysis
    Isolation
    Quantify
    Engineering
    Internal
    Interval
    Theorem
    Bioengineering

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Modeling and Simulation
    • Control and Optimization

    Cite this

    Retroactivity to the input in complex gene transcription networks. / Gyorgy, Andras; Del Vecchio, Domitilla.

    In: Proceedings of the IEEE Conference on Decision and Control, 01.12.2012, p. 3595-3601.

    Research output: Contribution to journalConference article

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