| Classic Room pharmacokinetic model is the basic method of analysis，which is themost common model for one bedroom and two bedroom rooms，they already had a widerange of applications in clinical.However, the classic room model also has the obviousdrawback is the result of the analysis is dependent on room choice of models，the roomis of a certain model of choice, and the uncertainty of the room different models havedifferent interpretations and the corresponding parameters are also clearly not thesame.Based on the physiological and compartmental model has been very good inrecent years development, it can describe any drug concentration in organs and tissues,providing information on distribution and biotransformation of drugs in the body, helpsto study mechanisms of drug action, guidelines for research and development of newdrugs and clinical drug therapy has meaning and practical value.However, the currentphysical room, almost all models in the validation and simulation models, and eachroom by a qualitative analysis, which is to say no more room for model analysis is notenough in depth.This document has been established in the class has a time lag of physiologicalroom Room model, and then, qualitative analysis, the main study their respective modelof gradual global stability. My work is as follows:Part I: the main presentation room Room model of basic knowledge and the currentthe Room model of research.Part II: establishment of three dimensional physiological and compartmental modelwith time delay and use of linear systems and Lyapunov functionals, come insometimes-delayed case zero global asymptotic stability of the equilibrium point. Hopfbranching of the final discussion is the equilibrium point.Part III: establish a multidimensional physiological and compartmental model withtime-delay and study on its global asymptotic stability, and in the special case study ofphysiological and compartmental model of multidimensional time-delay of globalstability. |
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