B-Rao C, Stewart J
Centre for Cellular and Molecular Biology, Hyderabad, India.
Bull Math Biol. 1996 Nov;58(6):1123-53. doi: 10.1007/BF02458386.
The concept of shape space proposed by Perelson and Oster (1979, J. Theor. Biol. 81, 645-670) has been a useful tool for the theoretical immunologists, who have invoked it to model idiotypic binding, which plays a significant role in mathematical models of immune networks. The actual construction of such a space from its definition requires specialized experimental information, which is not completely available. In this article, we discuss, with illustrative examples, how graphical representations similar to the idea of shape space can be derived by analyzing real affinity matrices, and the relative merits of such representations to approximations that might be obtained by the approach of Perelson and Oster. We also give directions for future research with a view toward applications.
佩雷尔森和奥斯特(1979年,《理论生物学杂志》81卷,645 - 670页)提出的形状空间概念,已成为理论免疫学家的有用工具,他们用它来模拟独特型结合,独特型结合在免疫网络的数学模型中起着重要作用。从其定义实际构建这样一个空间需要专门的实验信息,而这些信息并不完全可得。在本文中,我们通过示例讨论如何通过分析实际亲和力矩阵得出类似于形状空间概念的图形表示,以及这种表示相对于佩雷尔森和奥斯特方法可能得到的近似值的相对优点。我们还给出了面向应用的未来研究方向。