Rxivist logo

The effects of time-varying temperature on delays in genetic networks

By Marcella M Gomez, Richard M. Murray, Matthew R Bennett

Posted 22 May 2015
bioRxiv DOI: 10.1101/019687 (published DOI: 10.1137/15M1040979)

Delays in gene networks result from the sequential nature of protein assembly. However, it is unclear how models of gene networks that use delays should be modified when considering time-dependent changes in temperature. This is important, as delay is often used in models of genetic oscillators that can be entrained by periodic fluctuations in temperature. Here, we analytically derive the time dependence of delay distributions in response to time-varying temperature changes. We find that the resulting time-varying delay is nonlinearly dependent on parameters of the time-varying temperature such as amplitude and frequency, therefore, applying an Arrhenius scaling may result in erroneous conclusions. We use these results to examine a model of a synthetic gene oscillator with temperature compensation. We show that temperature entrainment follows from the same mechanism that results in temperature compensation. Under a common Arrhenius scaling alone, the frequency of the oscillator is sensitive to changes in the mean temperature but robust to changes in the frequency of a periodically time-varying temperature. When a mechanism for temperature compensation is included in the model, however, we show that the oscillator is entrained by periodically varying temperature even when maintaining insensitivity to the mean temperature.

Download data

  • Downloaded 508 times
  • Download rankings, all-time:
    • Site-wide: 48,325
    • In systems biology: 1,139
  • Year to date:
    • Site-wide: 72,375
  • Since beginning of last month:
    • Site-wide: 72,375

Altmetric data

Downloads over time

Distribution of downloads per paper, site-wide


Sign up for the Rxivist weekly newsletter! (Click here for more details.)