＜正＞Based on an modified system of synthetic genetic oscillators coupled by quorum sensing,chaotic dynamical be...
CHEN Aimin~(1,2) 1.Institute of Applied Mathematics,Henan University,Kaifeng 475004,Henan,P.R.China 2.School of Mathematics and Information Science,Henan University,Kaifeng 475004,Henan,P.R.China
In circadian rhythm generation, intercellular signaling factors are shown to play a crucial role in both sustaining intrinsic cellular rhythmicity and acquiring collective behaviours across a population of circadian neurons. However, the physical mechanism behind their role remains to be fully understood. In this paper, we propose an indirectly coupled multicellular model for the synchronization of Drosophila circadian oscillators combining both intracellular and intercellular dynamics. By simulating different experimental conditions, we find that such an indirect coupling way can synchronize both heterogeneous self-sustained circadian neurons and heterogeneous mutational damped circadian neurons. Moreover, they can also be entrained to ambient light-dark （LD） cycles depending on intercellular signaling.
In this paper, we develop a new mathematical model for the mammalian circadian clock, which incorporates both transcriptional/translational feedback loops （TTFLs） and a cAMP-mediated feedback loop. The model shows that TTFLs and cAMP signalling cooperatively drive the circadian rhythms. It reproduces typical experimental observations with qualitative similarities, e.g. circadian oscillations in constant darkness and entrainment to light dark cycles. In addition, it can explain the phenotypes of cAMP-mutant and Rev-erba^-/^- -mutant mice, and help us make an experimentally-testable prediction： oscillations may be rescued when arrhythmic mice with constitutively low concentrations of cAMP are crossed with Rev-erba^-/- mutant mice. The model enhances our understanding of the mammalian circadian clockwork from the viewpoint of the entire cell.
