<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 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-erbα-/-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-erbα-/mutant mice.The model enhances our understanding of the mammalian circadian clockwork from the viewpoint of the entire cell.
<正>Biochemical networks can respond to temporal characteristics of time-varying signals.To understand how reli...
CHEN Aimin~(1,2),WANG Junwei~3 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 3.School of Informatics,Guangdong University of Foreign Studies,Guangzhou 510006,P.R.China