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The Study Of Dynamic Model Of Drug Interrupting Hepatitis B Virus Transmission In Mother-to-Child

Posted on:2019-11-13Degree:MasterType:Thesis
Country:ChinaCandidate:M J GuoFull Text:PDF
GTID:2370330542486874Subject:Mathematics
Abstract/Summary:PDF Full Text Request
Type B viral hepatitis is shorted for hepatitis B,and it is an infectious disease caused by hepatitis B virus.Mother-to-child transmission is one of the three ways of spreading hepatitis B virus.We are using drugs to treatment the maternal hepatitis B virus in clinical medicine,reducing the number of hepatitis B virus,and lowering the infection rate of the fetus.The main contents are as follows:Firstly,we considered the needs of the pharmacokinetic for treatment fetal diseases,and the change of the fetus in the maternal,the two-compartment model of multiple doses pharmacokinetic was setted up,and the blood drug concentration-time expression was obtained,model's calculation method of relevant pharmacokinetic parameters was generalized.Oral treatment of fetal rapid arrhythmia digoxin to mother as an example,we ensured the blood drug concentrations in the mother and fetus in the treatment of window,reasonable dosage regimen was designed,and the feasibility of the regimen was analyzed.Secondly,we considered the inhibitory effect of drugs on hepatitis B virus,and the transmission mechanism of hepatitis B virus in mother-to-child,dynamic model of drug interrupting the transmission of hepatitis B virus in mother-to-child was established,the theory of complex matrix and Lyapunov function method were used,the global asymptotic stability of the model no-virus equilibrium and the virus equilibrium were proved.Then,the numerical simulation the curve of the number of hepatitis B virus in the mother-to-child of different dosages through MATLAB software,and the change of DNA data of hepatitis B virus was analyzed in clinical practice,the rationality of the model was verified.Finally,the way of the hepatitis B immunoglobulin was administered,and the pharmacokinetic two-compartment model was established,and the formula forcalculating the concentration of blood drug was given.According to the dosage adjustment principle,the drug dosage and interval were adjusted,four dosage regimens were designed,numerical simulation the curve of blood concentrationtime,and the number of hepatitis B virus-time in each regimens,we used the method of statistical analysis,the relationship were compared and analyzed,the curve was drawn of blood drug concentration-hepatitis B virus,and quantitative analysis of the effect of hepatitis B immunoglobulin on the number of hepatitis B virus,providing theoretical guidance for clinical medication.
Keywords/Search Tags:compartment model of pharmacokinetic, drug dose, block of mother-to-child, the stability of equilibrium, therapeutic regimen
PDF Full Text Request
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