Iwami Shingo, Nakaoka Shinji, Takeuchi Yasuhiro
Graduate School of Science and Technology, Shizuoka University, Hamamatsu, Japan.
Math Biosci Eng. 2008 Jul;5(3):457-76. doi: 10.3934/mbe.2008.5.457.
We consider the effect of viral diversity on the human immune system with the frequency dependent proliferation rate of CTLs and the elimination rate of infected cells by CTLs. The model has very complex mathematical structures such as limit cycle, quasi-periodic attractors, chaotic attractors, and so on. To understand the complexity we investigate the global behavior of the model and demonstrate the existence and stability conditions of the equilibria. Further we give some theoretical considerations obtained by our mathematical model to HIV infection.
我们通过CTL的频率依赖性增殖率以及CTL对受感染细胞的清除率，来考虑病毒多样性对人体免疫系统的影响。该模型具有非常复杂的数学结构，如极限环、准周期吸引子、混沌吸引子等。为了理解这种复杂性，我们研究了该模型的全局行为，并证明了平衡点的存在性和稳定性条件。此外，我们给出了由我们的数学模型得出的关于HIV感染的一些理论思考。
