BIOMATHEMATICAL APPROACHES TO CANCER AND AIDS

该项目的核心主题是发展 基于生物学机制的定量方法， 癌症和艾滋病的问题。 为此，基于生物学的数学 模型将与必要的统计方法一起开发 以及使用这些模型分析数据的计算工具。 的 模型的实用性将通过分析大量的 数据集。 提出了三个研究项目。 1. 致癌作用的随机模型及其在分析 流行病学和实验数据。 在这个项目中， 致癌作用将被开发用于分析肿瘤发生时间数据， 流行病学和实验研究以及中间体分析 在启动-促进实验中对癌症途径的损伤。 2. 乳腺癌和其他癌症的风险预测模型。 在这个项目中， 基于疾病自然史的风险预测模型， 结合遗传和环境因素，将开发 乳腺癌和其他癌症 3. HIV感染动力学建模的定量方法：在此 项目，确定性和随机模型将开发， 描述了艾滋病毒和免疫系统在急性 感染的早期阶段。

The central theme of this program project is the development of quantitative methods, based on biological mechanism, to address important problems in cancer and AIDS. To this end, biologically-based mathematical models will be developed, together with the requisite statistical methods and computational tools for the analysis of data using these models. The usefulness of the models will be demonstrated by analyses of substantial data sets. Three research projects are proposed. 1. Stochastic Models of Carcinogenesis with Applications to Analyses of Epidemiologic and Experimental Data. In this project stochastic models of carcinogenesis will be developed for analyses of time-to-tumor data in epidemiologic and experimental studies and for analyses of intermediate lesions on the pathway to cancer in initiation-promotion experiments. 2. Risk Prediction Models for Breast and other Cancers. In this project, risk prediction models, based on the natural history of the disease and incorporating both genetic and environmental factors, will be developed for breast and other cancers 3. Quantitative methods for Modelling HIV Infection Dynamics: In this project, deterministic and stochastic models will be developed for describing interactions between HIV and the immune system during the acute and early stages of infection.