title: Modeling temperature entrainment of circadian clocks using the Arrhenius equation and a reconstructed model from Chlamydomonas reinhardtii.
abstract: Endogenous circadian rhythms allow living organisms to anticipate daily variations in their natural environment. Temperature regulation and entrainment mechanisms of circadian clocks are still poorly understood. To better understand the molecular basis of these processes, we built a mathematical model based on experimental data examining temperature regulation of the circadian RNA-binding protein CHLAMY1 from the unicellular green alga Chlamydomonas reinhardtii, simulating the effect of temperature on the rates by applying the Arrhenius equation. Using numerical simulations, we demonstrate that our model is temperature-compensated and can be entrained to temperature cycles of various length and amplitude. The range of periods that allow entrainment of the model depends on the shape of the temperature cycles and is larger for sinusoidal compared to rectangular temperature curves. We show that the response to temperature of protein (de)phosphorylation rates play a key role in facilitating temperature entrainment of the oscillator in Chlamydomonas reinhardtii. We systematically investigated the response of our model to single temperature pulses to explain experimentally observed phase response curves.
authors.affiliation: Department of Bioinformatics, School of Biology and Pharmacy, Friedrich-Schiller University Jena, E.-Abbe-Platz 2, 07743 Jena, Germany.
authors.forename: Ines
authors.initials: I
authors.lastname: Heiland
authors.forename: Christian
authors.initials: C
authors.lastname: Bodenstein
authors.forename: Thomas
authors.initials: T
authors.lastname: Hinze
authors.forename: Olga
authors.initials: O
authors.lastname: Weisheit
authors.forename: Oliver
authors.initials: O
authors.lastname: Ebenhoeh
authors.forename: Maria
authors.initials: M
authors.lastname: Mittag
authors.forename: Stefan
authors.initials: S
authors.lastname: Schuster
keywords: Chlamydomonas reinhardtii; Circadian oscillator; Phase response curves; Temperature compensation; Temperature entrainment