Research On Circadian Rhythms In Drosophila

In the past 20 years, nonlinear science has become a hot topic of scientific research. With its vigorous development, other natural science have achieved substantial progress, such as physics and applied mathematics. The application of nonlinear science also related to many fields of natural sciences, engineering and social science. Systems biology which is the main one of the branches of nonlinear science, has been widely studied and applied. Circadian rhythm of Drosophila is an important research direction. This paper studied the parameter control drosophila circadian rhythms, the construction of drosophila clocks mathematical model and the numerical simulation.The research and development of circadian rhythms and some related notions are given in the introduction. The circadian rhythms of Drosophila are focused. We also introduced the development of circadian rhythms in Drosophila. Flatness-Based control in two parameters of circadian rhythms model are first studied, it restored the circadian rhythms of Drosophila, that gives a new way for the treatment of disease related to Time. We also do some research on genes that effect circadian rhythms, and then we build on a 16-variable model of circadian rhythms in Drosophila and make numerical simulation. At last, the conclusions and prospects are given. The detailed works are as follows:(1) By using the Flatness property, we restore the circadian rhythms by controlling two parameters and compare with controlling only one parameter. Find that Flatness-Based control in two parameters of circadian rhythm model is more robust than previous one by controlling one parameter.(2) We build on a 16-dimensions model of circadian rhythms in Drosophila by studying some lesser variables. We make some numerical simulations and compare with previous model. We find that the more systematic model is more robust than partial variables model.All of the above studies, we use Matlab to program and obtain simulation results. The conclusions are in agreement with the simulation results.