[Study of cyclic kinetics of immunity by mathematical modeling methods].

O A Smirnova
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Abstract

The mathematical model of the dynamics of humoral immune responses to soluble antigens has been developed. This is a system of nonlinear differential equations describing concentrations of immunocompetent B-lymphocytes, plasma cells, antibodies and antigen. The model reproduces cyclic kinetics of the immune reaction to slowly catabolizing antigens which is observed experimentally. Within the framework of the model a description of the mechanism of origin of oscillatory modes of the dynamics of the immune response is presented. It has been shown that the feedback in the control of the antibody synthesis by antibodies is due to neutralization of the main stimulus of the immune system, i.e., free molecules of the antigen--by circulating antibodies.

[用数学建模方法研究免疫循环动力学]。
对可溶性抗原体液免疫反应动力学的数学模型已经建立。这是一个描述免疫活性b淋巴细胞、浆细胞、抗体和抗原浓度的非线性微分方程系统。该模型再现了实验观察到的对缓慢分解抗原的免疫反应的循环动力学。在该模型的框架内,描述了免疫反应动力学振荡模式的起源机制。已有研究表明,抗体对抗体合成控制的反馈是由于循环抗体中和了免疫系统的主要刺激,即抗原的自由分子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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