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分批投料模式下抗体-抗原体系的凝胶化区域: 非等活性的动态Monte Carlo模拟研究

张子茹1, 李江涛1, 顾  芳1, 王海军1,2,3   

  1. 1. 河北大学化学与材料科学学院

    2. 河北省化学生物学重点实验室 3. 药物化学与分子诊断教育部重点实验室

  • 收稿日期:2025-08-21 修回日期:2025-11-02 网络首发:2025-11-04 发布日期:2025-11-04
  • 通讯作者: 王海军 E-mail:whj@hbu.edu.cn
  • 基金资助:
    河北省中央引导地方科技发展资金(批准号: 236Z7601G) 河北大学多学科交叉研究项目(批准号: DXK202112)资助

Gelation Regions of Semi-batch Antibody-Antigen Systems : A Kinetic Monte Carlo Study on the Nonequal Reactivity

ZHANG Ziru1, LI Jiangtao1, GU Fang1*, WANG Haijun1, 2, 3   

  1. 1. College of Chemistry and Material Science

    2. Chemical Biology Key Laboratory of Hebei Province

    3. Key Laboratory of Medicinal Chemistry and Molecular Diagnosis, Ministry of Education, Hebei University

  • Received:2025-08-21 Revised:2025-11-02 Online First:2025-11-04 Published:2025-11-04
  • Contact: Hai-Jun Wang E-mail:whj@hbu.edu.cn
  • Supported by:
    Supported by the Central Guidance on Local Science and Technology Development Fund of Hebei Province, China(No.236Z7601G) and the Interdisciplinary Research Program of Natural Science of Hebei University, China(No.DXK202112)

摘要: 通过动态Monte Carlo模拟方法对兼具多批次反应和非等活性抗体-抗原体系的凝胶化区域进行研究.模拟针对不同的投料次数和非等活性条件下的〖[Ag]〗_3-〖[Ab]〗_2体系, 给出了临界反应程度与基团(抗原表位和抗体对位)摩尔比之间的变化关系. 在此基础上, 进一步计算了不同条件下相邻批次间的临界反应程度增量, 从而明确了抗体-抗原体系的等价区为1~1.5. 结果表明, 当体系中大尺寸抗体-抗原复合物的生长占据主导地位时, 处在等价区内的各批次间的临界反应程度增量基本一致, 因此相应各批次的凝集反应均可用于免疫应答的定量化分析. 反之, 若体系中以小尺寸复合物的生长为主, 则各批次的凝集反应仅可进行定性或者半定量的免疫测试. 研究旨在揭示相关因素对体系凝胶化进程的调控机制, 为精准研究抗体和抗原分子的生物活性、免疫性的定量评价及药物靶向治疗提供可借鉴的理论线索.

关键词: 抗体-抗原复合物, 凝胶化区域, 分批投料, 非等活性, 动态Monte Carlo模拟

Abstract: A kinetic Monte Carlo simulation is performed to investigate the gelation regions for the antibody-antigen system of 〖[Ag]〗_3-〖[Ab]〗_2 type, involving the semi-batch and nonequal reactivity. Specifically, the gelation regions consisting of critical and maximum conversions for various molar ratios of epitopes to paratopes are presented. Furthermore, the increments of critical conversions between two successive feedings are obtained to determine the equivalent zone, which ranges from 1 to 1.5 for the present system. It is shown that when the growth of antibody-antigen complexes of larger sizes takes priority, the smallest variance in the increments of critical conversions can be found. These results signify that, the agglutination reactions under the semi-batch mode can be employed to the quantitative analysis of the immune responses. Conversely, if the growth of complexes of small sizes dominates in the system, then the corresponding agglutination reactions are only suitable for qualitative immunoassay. An attempt was made to elucidate the impacts of relevant factors on the gelation process of the system, thereby providing useful clues for a quantitative immunoassay and relevant targeted drug therapies.

Key words: Antibody-antigen complex, Gelation region, Semi-batch, Nonequal reactivity, Kinetic Monte Carlo simulation

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