De Boer R J, Perelson A S
Theoretical Biology, Utrecht University, The Netherlands.
J Theor Biol. 1995 Aug 21;175(4):567-76. doi: 10.1006/jtbi.1995.0165.
A new function is proposed for describing the rate of T cell proliferation in response to peptides on antigen-presenting cells. The model improves an earlier model of ours by allowing for a true maximum proliferation rate of the T cells. This is achieved by a simple change of variables that markedly relaxes the conditions for a conventional quasi-steady-state assumption. The new model has the same "ecological" properties as the previous one. Thus the natural competition in the model allows for regulation of T cell population size in the presence of continuous stimulation by antigen. An important feature is the competitive exclusion of T cell clones recognizing the same peptide with different affinities allowing for "affinity selection". Models for the population dynamics of experienced, naïve and activated T cells are also developed. These T cell subpopulations compete with one another for antigen. In models with lymphokine production a "proliferation threshold" is obtained that allows for tolerance.
提出了一种新的函数来描述T细胞对抗抗原呈递细胞上肽的增殖速率。该模型改进了我们早期的模型，允许T细胞具有真正的最大增殖速率。这是通过简单的变量变换实现的，该变换显著放宽了传统准稳态假设的条件。新模型具有与前一个模型相同的“生态”特性。因此，模型中的自然竞争允许在抗原持续刺激的情况下调节T细胞群体大小。一个重要特征是竞争性排斥识别相同肽但亲和力不同的T细胞克隆，从而实现“亲和力选择”。还开发了关于记忆性、初始和活化T细胞群体动力学的模型。这些T细胞亚群相互竞争抗原。在有淋巴因子产生的模型中，获得了一个允许产生耐受性的“增殖阈值”。
