数学建模思想在跨学科研究中的应用
The Application of Mathematical Modeling in Interdisciplinary Research
DOI: 10.12677/ae.2025.152288, PDF,    科研立项经费支持
作者: 马 梅, 陈桂秀:青海师范大学数学与统计学院,青海 西宁
关键词: 数学建模跨学科研究数学模型Mathematical Modeling Interdisciplinary Research Mathematical Models
摘要: 本文主要探讨了数学建模在生物医学、社会科学和计算机科学等多个学科中的交叉应用与整合。数学建模作为一种跨学科的工具,通过数学方法和模型在不同学科领域中解决复杂问题,促进了学科之间的交流与合作。本文通过分析数学建模在各学科中的具体应用案例,展示了数学建模在促进跨学科研究发展和理论创新方面的重要作用。
Abstract: This paper mainly discusses the cross-application and integration of mathematical modeling in biomedical science, social science and computer science. As an interdisciplinary tool, mathematical modeling solves complex problems in different subject areas through mathematical methods and models, and promotes exchanges and cooperation between disciplines. By analyzing the specific application cases of mathematical modeling in various disciplines, this paper demonstrates the important role of mathematical modeling in promoting the development of interdisciplinary research and theoretical innovation.
文章引用:马梅, 陈桂秀. 数学建模思想在跨学科研究中的应用[J]. 教育进展, 2025, 15(2): 633-640. https://doi.org/10.12677/ae.2025.152288

参考文献

[1] 孙虎, 刘祖希. 数学跨学科实践活动: “内涵” “价值”与“实施路径” [J]. 数学教育学报, 2023, 32(1): 19-24.
[2] Butner, J.D., Wang, Z., Elganainy, D., Al Feghali, K.A., Plodinec, M., Calin, G.A., et al. (2021) A Mathematical Model for the Quantification of a Patient’s Sensitivity to Checkpoint Inhibitors and Long-Term Tumour Burden. Nature Biomedical Engineering, 5, 297-308. [Google Scholar] [CrossRef] [PubMed]
[3] 张露文, 刘洪娟. 考虑防护和隔离的传染病传播建模与分析[J]. 东北大学学报(自然科学), 2023, 44(4): 486-494.
[4] 章培军, 王震, 李永新, 等. 面向竞赛的数学建模教学改革探索[J]. 教育教学论坛, 2019(36): 120-121.
[5] 贾秀利. 基于应用型人才培养模式的数学建模教学探究[J]. 吉林省教育学院学报, 2024, 40(3): 80-84.
[6] Liu, Y., Wu, R. and Yang, A. (2023) Research on Medical Problems Based on Mathematical Models. Mathematics, 11, Article 2842. [Google Scholar] [CrossRef
[7] Wu, S., Liu, X., Dong, A., Gragnoli, C., Griffin, C., Wu, J., et al. (2023) The Metabolomic Physics of Complex Diseases. Proceedings of the National Academy of Sciences, 120, e2308496120. [Google Scholar] [CrossRef] [PubMed]
[8] 谭小芹, 熊嘉诚, 朱亭霏, 等. 中国药物分子设计40年发展成就[J]. 中国科学: 生命科学, 2019, 49(11): 1375-1394.
[9] Yang, S., Huang, Q., Li, L., Ma, C., Zhang, H., Bai, R., et al. (2009) An Integrated Scheme for Feature Selection and Parameter Setting in the Support Vector Machine Modeling and Its Application to the Prediction of Pharmacokinetic Properties of Drugs. Artificial Intelligence in Medicine, 46, 155-163. [Google Scholar] [CrossRef] [PubMed]
[10] Liu, Z., Wan, G., Prakash, B.A., et al. (2024) A Review of Graph Neural Networks in Epidemic Modeling. Proceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, Barcelona, 25-29 August 2024, 6577-6587. [Google Scholar] [CrossRef
[11] 李清茹, 吴俊, 叶冬青. 流行病学的拾砖者——丹尼尔∙伯努利[J]. 中华疾病控制杂志, 2019, 23(6): 741-744.
[12] Chen, Y., Liu, F., Yu, Q. and Li, T. (2021) Review of Fractional Epidemic Models. Applied Mathematical Modelling, 97, 281-307. [Google Scholar] [CrossRef] [PubMed]
[13] 施思远. 计算机技术在数学建模中的应用[J]. 电子技术, 2021, 50(8): 242-243.
[14] 张静. 红外图像分割与目标提取方法研究[J]. 智能计算机与应用, 2024, 14(7): 241-245.