Browse wiki

From MurrayWiki
Jump to: navigation, search
The effects of time-varying temperature on delays in genetic networks
Abstract Delays in gene networks result from the se …
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.
ing insensitivity to the mean temperature.  +
Authors Marcella M. Gomez, Richard M. Murray and Matthew R. Bennett  +
ID 2015g  +
Source Submitted, SIAM J. Applied Dynamical Systems (SIADS)  +
Tag gmb15-siads  +
Title The effects of time-varying temperature on delays in genetic networks +
Type Journal submission  +
Categories Papers
Modification date
This property is a special property in this wiki.
15 May 2016 05:39:15  +
URL
This property is a special property in this wiki.
http://www.cds.caltech.edu/~murray/preprints/gmb15-siads_s.pdf  +
hide properties that link here 
The effects of time-varying temperature on delays in genetic networks + Title
 

 

Enter the name of the page to start browsing from.