免疫细胞与正常病原体及免疫系统逆转录病毒相互作用的简单模型的稳定性分析
Stability analysis of simple models for immune cells interacting with normal pathogens and immune system retroviruses.
作者信息
Reibnegger G, Fuchs D, Hausen A, Werner E R, Werner-Felmayer G, Dierich M P, Wachter H
机构信息
Institute for Medical Chemistry and Biochemistry, University of Innsbruck, Austria.
出版信息
Proc Natl Acad Sci U S A. 1989 Mar;86(6):2026-30. doi: 10.1073/pnas.86.6.2026.
A mathematical analysis is presented for several simple dynamical systems that might be considered as crude descriptions for the situation when an immune system retrovirus, immune cells, and normal autonomously replicating pathogens interact. By stability analysis of the steady-state solutions, the destabilizing effect of the immune system retrovirus is described. The qualitative behavior of the solutions depending on the system parameters is analyzed in terms of trajectories moving in a phase space in which the axes are defined by the population numbers of the interacting biological entities.
本文对几个简单的动力系统进行了数学分析，这些系统可被视为对免疫系统逆转录病毒、免疫细胞和正常自主复制病原体相互作用情况的粗略描述。通过对稳态解的稳定性分析，描述了免疫系统逆转录病毒的破坏稳定作用。根据在相空间中移动的轨迹，分析了依赖于系统参数的解的定性行为，其中相空间的轴由相互作用的生物实体的种群数量定义。
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