A multiscale modelling approach for the regulation of the cell cycle by the circadian clock

Raouf El Cheikh (1) , Samuel Bernard (2, 3, 4) , Nader El Khatib (5)

1 SMARTc unit - Simulation & Modelling : Adaptive Response for Therapeutics in Cancer
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
3 ICJ - Institut Camille Jordan
4 MMCS - Modélisation mathématique, calcul scientifique
5 CSM/SAS/LAU - Department of Computer Science and Mathematics [Lebanese American University]

We present a multiscale mathematical model for the regulation of the cell cycle by the circadian clock. Biologically, the model describes the proliferation of a population of heterogeneous cells connected to each other. The model consists of a high dimensional transport equation structured by molecular contents of the cell cycle-circadian clock coupled oscillator. We propose a computational method for resolution adapted from the concept of particle methods. We study the impact of molecular dynamics on cell proliferation and show an example where discordance of division rhythms between population and single cell levels is observed. This highlights the importance of multiscale modeling where such results cannot be inferred from considering solely one biological level.

Domaines: Systèmes dynamiques [math.DS]; Biologie cellulaire

Raouf El Cheikh, Samuel Bernard, Nader El Khatib. A multiscale modelling approach for the regulation of the cell cycle by the circadian clock. Journal of Theoretical Biology, 2017, 426, pp.117-125. ⟨10.1016/j.jtbi.2017.05.021⟩. ⟨hal-01561617⟩