| Statistics and Thermodynamics in the Growth of Antigen-Antibody Complexes |
| P. Zhang; H. J. Wang
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| 2010
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| 发表期刊 | Chinese Journal of Physics
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| ISSN | 0577-9073
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| 卷号 | 48期号:2页码:277-293 |
| 摘要 | For the system consisting of multivalent antigen (Ag) and antibody (Ab) molecules, the branched growth process of antigen-antibody complexes is theoretically investigated by the methods of statistical mechanics and thermodynamics. A main attempt is made to consider the statistical and thermodynamic properties concerning the formation of Ag-Ab complexes. Specifically, starting with two kinds of partition functions constructed from two different statistical view points, the equilibrium free energy and the law of mass action as well as the equilibrium size distribution of the Ag-Ab complexes are derived. The aggregation process resulting from Ag-Ab binding is studied by considering it as a sol-gel transition process. Then the gelation condition, the gelation region associated with the valences of Ag and Ab, and the composition are obtained, which enable one to find the proper conditions that the precipitation or agglutination takes place. For describing the sol-gel transition in the system of interest, the scaling behaviors of the k-th moment and the gel fraction near the critical point are investigated to give the corresponding scaling laws. Furthermore, as an application, the isothermal compressibility is obtained, which can characterize the connectivity induced by binding pairs. |
| 部门归属 | [zhang, ping; wang, hai-jun] hebei univ, coll chem & environm sci, baoding 071002, peoples r china. [zhang, ping] chengde med univ, dept biomed engn, chengde 067000, peoples r china. [wang, hai-jun] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;zhang, p (reprint author), hebei univ, coll chem & environm sci, baoding 071002, peoples r china
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| 关键词 | Average Molecular-weights
Probability-theory
Immune-complexes
Gelation
Aggregation
Polymers
Affinity
Binding
Ligands
Systems
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| URL | 查看原文
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| WOS记录号 | WOS:000277556600013
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://ir.imr.ac.cn/handle/321006/31714
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| 专题 | 中国科学院金属研究所
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推荐引用方式
GB/T 7714 |
P. Zhang,H. J. Wang. Statistics and Thermodynamics in the Growth of Antigen-Antibody Complexes[J]. Chinese Journal of Physics,2010,48(2):277-293.
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| APA |
P. Zhang,&H. J. Wang.(2010).Statistics and Thermodynamics in the Growth of Antigen-Antibody Complexes.Chinese Journal of Physics,48(2),277-293.
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| MLA |
P. Zhang,et al."Statistics and Thermodynamics in the Growth of Antigen-Antibody Complexes".Chinese Journal of Physics 48.2(2010):277-293.
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