为了研究更接近于真实的免疫反应系统中抗体-抗原复合物的生长,提出了一个开放的抗体-抗原系统模型,在这一体系中抗体、抗原分子能以一定的方式产生并参与反应.通过Monte Carlo模拟方法分别考察了线性体系和支化体系的演化过程,所采用的算法包含了一个自洽的叠代方法计算等待时间,以此算法为基础,研究了抗体和抗原分子不同输入方式对复合物数均和重均聚合度的影响,发现不同体系在演化过程中的相关统计特征都可以反映输入方式的变化,因而可以通过观测平均物理量来识别输入方式.
[1] ABBAS A K, LICHTMAN A H. Cellular and Molecular Immunology [M]. Philadelphia:WB Saunders 2003.
[2] PAUL W E. Fundamental Immunology [M]. Philadelphia:Lippincott Williams and Wilkins 2008.
[3] 林学颜, 张玲. 现化细胞与分子免疫学 [M]. 北京:科学出版社 1999.
[4] 王廷华, 李官成, ZHOU Xinfu. 抗体理论和技术 [M]. 北京:科学出版社 2009.
[5] GOLDBER R J. A theory of antibody-antigen reactions.Ⅰ.Theory for reactions of multivalent antigen with bivalent and univalent antibody [J]. Journal of the American Chemical Society 1952, 74.
[6] GOLDBER R J. A theory of antibody-antigen reactions.Ⅱ.Theory for reactions of multivalent antigen with multivalent antibody [J]. Journal of the American Chemical Society 1953, 75.
[7] PALMITER M T, ALADJEM F. The antigen-antibody reaction.Ⅳ.A quantitative theory of antigen-antibody reactions [J]. J Theo Bio 1963, 5.
[8] ALADJEM F, PALMITER M T. The antigen-antibody reaction:Ⅴ.A quantitative theory of antigen-antibody reactions which allows for heterogeneity of antibodies [J]. Journal of Theoretical Biology 1965, 8.
[9] ARCHER B G, KRAKAUER H. Thermodynamics of antibody-antigen reactions.2.The binding of bivalent synthetic random coil antigens to antibodies having different antigen precipitating properties [J]. Biochemistry 1977, 16.
[10] STEENSGAARD J, JACOBSON C, LOWE J. Theoretical and ultracentrifugal analysis of immune complex formation between monoclonal antibodies and human IgG [J]. IMMUNOLOGY 1982, 46.
[11] Shiau LD.. A SYSTEMATIC ANALYSIS OF AVERAGE MOLECULAR WEIGHTS AND GELATION CONDITIONS FOR BRANCHED IMMUNE COMPLEXES - THE INTERACTION BETWEEN A MULTIVALENT ANTIGEN WITH DISTINCT EPITOPES AND MANY DIFFERENT TYPES OF BIVALENT ANTIBODIES [J]. Biopolymers: Original Research on Biomolecules and Biomolecular Assemblies 1996, 3(3).
[12] Laurenzi IJ., Diamond SL.. Kinetics of random aggregation-fragmentation processes with multiple components - art. no. 051103 [J]. Physical review.E.Statistical physics, plasmas, fluids, and related interdisciplinary topics 2003, 5 Pt.1(5 Pt.1).
[13] Yang J, Monine MI, Faeder JR, Hlavacek WS. Kinetic Monte Carlo method for rule-based modeling of biochemical networks [J]. Physical review, E. Statistical, nonlinear, and soft matter physics 2008, 3 Pt.1(3 Pt.1).
[14] Monine MI, Posner RG, Savage P. Modeling multivalent ligand-receptor interactions with steric constraints on configurations of cell-surface receptor aggregates. [J]. Biophysical Journal 2010, 1(1).
[15] 唐敖庆, 江元生. 三向缩聚反应中的凝胶化问题 [J]. 科学记录 1958, 2(03).
[16] Gillespie DT. Stochastic simulation of chemical kinetics [J]. Annual Review of Physical Chemistry 2007, 0(0).
[17] 杨玉良, 张红东. 高分子科学中的Monte Carlo方法 [M]. 上海:复旦大学出版社 1993.
[18] 张平, 王海军. Monte Carlo Simulation on Growth of Antibody-Antigen Complexes: the Role of Unequal Reactivity [J]. 2010.