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. 2014 Mar 13;10(3):e1003486. doi: 10.1371/journal.pcbi.1003486

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© 2014 Gyorgy, Del Vecchio

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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Time response at a steady state fixed at . The red and blue plots denote the cases with and without negative autoregulation, respectively, whereas the green plot represents the case of negative autoregulation neglecting retroactivity ( in (8)). Simulation parameters are , , together with , , for A, B and C, respectively. To carry out a meaningful comparison between the unregulated and regulated systems, we compare the response time of systems with the same steady state. To do so, we pick the same value of in the case of the regulated systems (, , for A, B and C, respectively), but a different one for for the unregulated system (, , for A, B and C, respectively), such that the steady states match (see Methods for parameter ranges). Decreasing (lower production rate constant) while increasing (higher DNA copy number) results in slower response, as internal retroactivity increases.

Inline graphic — Time response at a steady state fixed at . The red and blue plots denote the cases with and without negative autoregulation, respectively, whereas the green plot represents the case of negative autoregulation neglecting retroactivity ( in (8)). Simulation parameters are , , together with , , for A, B and C, respectively. To carry out a meaningful comparison between the unregulated and regulated systems, we compare the response time of systems with the same steady state. To do so, we pick the same value of in the case of the regulated systems (, , for A, B and C, respectively), but a different one for for the unregulated system (, , for A, B and C, respectively), such that the steady states match (see Methods for parameter ranges). Decreasing (lower production rate constant) while increasing (higher DNA copy number) results in slower response, as internal retroactivity increases.