摘 要：本文探讨了数学建模在医学领域中的应用，并以乳腺癌诊断为例进行具体分析。我们总结了微积分、概率论与统计学和线性代数的相关理论，这些理论都是数学建模的基本工具。在医学领域中，数据分析、可视化以及统计学和预测模型等数学建模技术都被广泛地应用。针对乳腺癌的诊断，数学模型可以对数据分析和病情预测起到了重要的作用，为医生制定更为精准的治疗方案提供了参考意见。本文也指出了数学建模在医学领域中所面临的挑战和问题，并提出了未来需要继续探索数学建模在医学中的应用的观点。
关键词：数学建模；乳腺癌；医学；数据分析
Abstract: In this paper, the application of mathematical modeling in medical field is discussed, and the diagnosis of breast cancer is analyzed. We summarize the relevant theories of calculus, probability theory and statistics, and linear algebra, all of which are basic tools for mathematical modeling. In the medical field, data analysis, visualization, and mathematical modeling techniques such as statistical and predictive models are widely used. For the diagnosis of breast cancer, mathematical model can play an important role in data analysis and disease prediction, and provide reference for doctors to make more accurate treatment plans. This paper also points out the challenges and problems faced by mathematical modeling in the field of medicine, and puts forward the point of view that the application of mathematical modeling in medicine should be further explored in the future.
Key words: Mathematical modeling; Breast cancer; Medicine; Data analysis
目 录
摘 要 2
引 言 2
1 数学建模的相关理论概述 2
1.1 微积分 2
1.2 概率论与统计学 3
1.3 线性代数 3
2. 数学建模在医学中的应用 4
2.1 数据分析 4
2.2 可视化 4
2.3 统计学和预测模型 5
3 数学建模在乳腺癌诊断中的应用 5
3.1 乳腺癌基础知识 5
3.2 数学模型的构建 6
3.3 数学模型在乳腺癌治疗中的应用 6
4 结论 7
参考文献 8
关键词：数学建模；乳腺癌；医学；数据分析
Abstract: In this paper, the application of mathematical modeling in medical field is discussed, and the diagnosis of breast cancer is analyzed. We summarize the relevant theories of calculus, probability theory and statistics, and linear algebra, all of which are basic tools for mathematical modeling. In the medical field, data analysis, visualization, and mathematical modeling techniques such as statistical and predictive models are widely used. For the diagnosis of breast cancer, mathematical model can play an important role in data analysis and disease prediction, and provide reference for doctors to make more accurate treatment plans. This paper also points out the challenges and problems faced by mathematical modeling in the field of medicine, and puts forward the point of view that the application of mathematical modeling in medicine should be further explored in the future.
Key words: Mathematical modeling; Breast cancer; Medicine; Data analysis
目 录
摘 要 2
引 言 2
1 数学建模的相关理论概述 2
1.1 微积分 2
1.2 概率论与统计学 3
1.3 线性代数 3
2. 数学建模在医学中的应用 4
2.1 数据分析 4
2.2 可视化 4
2.3 统计学和预测模型 5
3 数学建模在乳腺癌诊断中的应用 5
3.1 乳腺癌基础知识 5
3.2 数学模型的构建 6
3.3 数学模型在乳腺癌治疗中的应用 6
4 结论 7
参考文献 8
