Fowler A C
J Math Biol. 1981;13(1):23-45. doi: 10.1007/BF00276864.
A model of the humoral immune response, proposed by Dibrov, Livshits and Volkenstein (1977b), in which the antibody production by a constant target cell population depends on the antigenic stimulation at earlier times, is considered from an analytic standpoint. A method of approximation based on a consideration of the asymptotic limit of "large" delay in the antibody response is shown to be applicable, and to give results similar to those obtained numerically by the above authors. The relevance of this type of approximation to other systems exhibiting "outbreak" phenomena is discussed.
迪布罗夫、利夫希茨和沃尔肯斯坦（1977b）提出了一种体液免疫反应模型，其中恒定靶细胞群体产生抗体取决于早期的抗原刺激。本文从分析的角度对该模型进行了研究。结果表明，一种基于考虑抗体反应中“大”延迟渐近极限的近似方法是适用的，并且所得结果与上述作者通过数值计算得到的结果相似。文中还讨论了这种近似方法与其他表现出“爆发”现象的系统的相关性。
