Monte Carlo模拟研究抗体-抗原复合物生长的标度行为

通过Monte Carlo模拟方法对抗体-抗原复合物在等活性和非等活性条件下生长的标度行为进行了研究. 模拟所用算法的有效性通过在等活性条件下的模拟结果与解析结果之间的一致性得以证明. 在模拟中, 主要考察了抗体-抗原复合物的数量分布函数、重均聚合度以及特征关联长度在临界点附近的标度行为, 给出相应的标度指数, 并以其检验溶胶-凝胶相变的广义标度律. 研究结果表明, 非等活性对抗体-抗原复合物的生长具有显著影响, 可为临床免疫分析提供相应的理论线索.

Monte Carlo Simulation Study on Scaling Behavior in Growth of Antibody-antigen Complexes

The scaling behavior concerning the growth of antibody-antigen complexes was studied by the me-thod of Monte Carlo simulation. The validity of the algorithm we used is demonstrated by the excellent agreement between analytical results and those of Monte Carlo simulation under the case of equal reactivity. For both cases of equal and unequal reactivities, the scaling exponents of the size distribution, the weight-average binding degrees, and the characteristic correlation length are obtained, and then the scaling law on the sol-gel transition is checked. It is shown that the effects of unequal reactivity on the growth of antibody-antigen complexes are significant, and this can provide some useful information for the clinic analysis of immunoreactions.