Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions

Title:

Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions

Creator:

Vejchodský, Tomáš

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:25f79b77-4b71-4bda-a953-38529cb97f57
uuid:25f79b77-4b71-4bda-a953-38529cb97f57
doi:10.21136/MB.2014.144135

Subject:

biochemical networks, gene regulatory networks, oscillating systems, periodic solutions, model reduction, and accurate approximation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Quasi-steady state assumptions are often used to simplify complex systems of ordinary differential equations in the modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to have a small number of variables. This enables to use the stability and bifurcation analysis to reveal a deeper structure in the dynamics of the original system. This contribution shows that introducing delays to quasi-steady state assumptions yields a simplified system that accurately agrees with the original system not only qualitatively but also quantitatively. We derive the proper size of the delays for a particular model of circadian rhythms and present numerical results showing the accuracy of this approach.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

577-585

Source:

Mathematica bohemica | 2014 Volume:139 | Number:4

Harvested from:

CDK

Metadata only:

false