考虑抗病毒免疫作用的动力学模型分析
发布时间：2018-09-12 16:21
【摘要】：本论文围绕着机体抗病毒免疫系统的应答机制,以HIV病毒、噬菌体病毒感染为例,建立了两个模型来分别研究以人体和细菌为机体的抗病毒免疫系统作用.第一章简要地介绍了人体免疫和细菌免疫系统的应答机制、相关动力学模型以及本文所涉及到的理论知识.第二章在有关HIV感染的模型上,针对人体免疫中主要的细胞免疫建立了第一个模型.主要是研究饱和作用下CD8+T细胞免疫对HIV病毒感染的影响.通过构造Lyapunov函数,我们证明了无感染平衡点、免疫平衡点的全局稳定性,并分析了 CD8+T细胞激活率和死亡率对HIV感染进程的影响.数值模拟中,进一步验证了 CD8+T细胞的免疫作用.第三章在噬菌体感染细菌的相关模型上,基于细菌的CRISPR/Cas免疫系统作用建立了本文的第二个模型.主要研究了 CRISPR/Cas免疫系统对噬菌体和细菌共存情况及细菌多样性的影响.通过平衡点分析和数值模拟,我们发现了后向分支、跨临界分支以及Hopf分支等复杂的动力学性态.利用Lyapunov函数和一致持续理论,得到了无感染平衡点以及共存平衡点的全局稳定结果.结合数值模拟和理论,进一步分析了细菌CRISPR/Cas免疫系统的免疫效率、获得抗性的营养损失与噬菌体突变率三者对系统解性态的影响.最后,对系统的动力学性态及其生物意义作出解释.
[Abstract]:Based on the mechanism of antiviral immune system, two models of HIV virus and bacteriophage virus infection were established to study the effect of human body and bacteria on antiviral immune system. The first chapter briefly introduces the response mechanism of human immune and bacterial immune system, the related kinetic models and the theoretical knowledge involved in this paper. In the second chapter, the first model is established for the main cellular immunity in human immune system based on the model of HIV infection. The effect of CD8 T cell immunity on HIV virus infection was studied. By constructing the Lyapunov function, we prove the global stability of the non-infective equilibrium point and the immune equilibrium point, and analyze the effects of the activation rate and mortality of CD8 T cells on the process of HIV infection. In the numerical simulation, the immune function of CD8 T cells was further verified. In the third chapter, the second model of bacteriophage infection was established based on the CRISPR/Cas immune system of bacteriophage. The effects of CRISPR/Cas immune system on the coexistence of bacteriophage and bacteria and bacterial diversity were studied. By means of equilibrium point analysis and numerical simulation, we find complex dynamical behaviors such as backward bifurcation, transcritical bifurcation and Hopf bifurcation. By using the Lyapunov function and the uniform persistence theory, the global stability results of the infection free equilibrium and the coexistence equilibrium are obtained. Combined with numerical simulation and theory, the immune efficiency of bacterial CRISPR/Cas immune system was further analyzed, and the effects of nutritional loss of resistance and bacteriophage mutation rate on the system cleavage state were obtained. Finally, the dynamics of the system and its biological significance are explained.
【学位授予单位】：西南大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
本文编号：2239561
[Abstract]:Based on the mechanism of antiviral immune system, two models of HIV virus and bacteriophage virus infection were established to study the effect of human body and bacteria on antiviral immune system. The first chapter briefly introduces the response mechanism of human immune and bacterial immune system, the related kinetic models and the theoretical knowledge involved in this paper. In the second chapter, the first model is established for the main cellular immunity in human immune system based on the model of HIV infection. The effect of CD8 T cell immunity on HIV virus infection was studied. By constructing the Lyapunov function, we prove the global stability of the non-infective equilibrium point and the immune equilibrium point, and analyze the effects of the activation rate and mortality of CD8 T cells on the process of HIV infection. In the numerical simulation, the immune function of CD8 T cells was further verified. In the third chapter, the second model of bacteriophage infection was established based on the CRISPR/Cas immune system of bacteriophage. The effects of CRISPR/Cas immune system on the coexistence of bacteriophage and bacteria and bacterial diversity were studied. By means of equilibrium point analysis and numerical simulation, we find complex dynamical behaviors such as backward bifurcation, transcritical bifurcation and Hopf bifurcation. By using the Lyapunov function and the uniform persistence theory, the global stability results of the infection free equilibrium and the coexistence equilibrium are obtained. Combined with numerical simulation and theory, the immune efficiency of bacterial CRISPR/Cas immune system was further analyzed, and the effects of nutritional loss of resistance and bacteriophage mutation rate on the system cleavage state were obtained. Finally, the dynamics of the system and its biological significance are explained.
【学位授予单位】：西南大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
【参考文献】
相关期刊论文 前6条
1 姜翠翠;王稳地;付恩骏;;考虑饱和免疫的病毒动力学模型的稳定性分析[J];西南大学学报(自然科学版);2014年01期
2 王秀男;王稳地;刘鹏;;考虑感染潜伏期和CTL免疫的HIV动力学模型的全局性态[J];西南大学学报(自然科学版);2013年07期
3 马延滨;常惠芸;;细菌的CRISPR/cas免疫及免疫识别[J];中国兽医科学;2012年06期
4 李铁民;;解析细菌免疫系统[J];微生物学报;2011年10期
5 闫银翠;王稳地;;考虑CTL免疫作用的HIV感染模型的全局动力学性态[J];西南大学学报(自然科学版);2011年05期
6 万延民;仇超;张晓燕;徐建青;;HIV-1感染的T细胞免疫应答与病毒免疫逃逸[J];病毒学报;2008年04期
，本文编号：2239561
本文链接：https://www.wllwen.com/kejilunwen/yysx/2239561.html
