高等学校化学学报 ›› 2010, Vol. 31 ›› Issue (5): 1045.

• 研究论文 • 上一篇    下一篇

Monte Carlo模拟研究抗体-抗原复合物生长的标度行为

王海军1,3,4, 张平1,2,4, 巴信武1,3,4   

  1. 1. 河北大学化学与环境科学学院, 保定 071002;
    2. 承德医学院生物医学工程系, 承德 067000;
    3. 河北大学教育部药物化学与分子诊断重点实验室, 保定 071002;
    4. 中国科学院国际材料物理中心, 沈阳 110016
  • 收稿日期:2009-08-17 出版日期:2010-05-10 发布日期:2010-05-10
  • 通讯作者: 王海军, 男, 博士, 教授, 主要从事高分子凝聚态理论研究. E-mail: whj@mail.hbu.cn
  • 基金资助:

    国家自然科学基金(批准号: 20873035, 20574016)资助.

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

WANG Hai-Jun1,3,4*, ZHANG Ping1,2,4, BA Xin-Wu1,3,4   

  1. 1. College of Chemistry and Environmental Science, Hebei University, Baoding 071002, China;
    2. Institute of Biomedical Engineering, Chengde Medical College, Chengde 067000, China;
    3. Key Laboratory of Medical Chemistry and Molecular Diagnosis, Ministry of Education, Hebei University, Baoding 071002, China;
    4. International Center for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2009-08-17 Online:2010-05-10 Published:2010-05-10
  • Contact: WANG Hai-Jun. E-mail: whj@mail.hbu.cn
  • Supported by:

    国家自然科学基金(批准号: 20873035, 20574016)资助.

摘要:

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.

关键词: 抗体-抗原复合物; 标度行为; 溶胶-凝胶相变; Monte Carlo模拟

Abstract:

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.

Key words: Antibody-antigen complex; Scaling behavior; Sol-gel phase transition; Monte Carlo simulation

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