BIOMATHEMATICAL APPROACHES TO CANCER AND AIDS

该方案项目的中心主题是开发 基于生物学机制的定量方法，以解决重要的 癌症和艾滋病的问题。为此，以生物为基础的数学 将开发模型，以及必要的统计方法 以及使用这些模型分析数据的计算工具。这个 模型的有效性将通过对大量数据的分析来证明 数据集。提出了三个研究课题。 1.癌变的随机模型及其在肺癌分析中的应用 流行病学和实验数据。在这个项目中，随机模型 癌症发生学将用于分析到肿瘤的时间数据 流行病学和实验研究以及中间体的分析 启动-促进实验中致癌途径上的损伤。 2.乳腺癌和其他癌症的风险预测模型。在这个项目中， 风险预测模型，基于疾病的自然病史和 结合遗传和环境因素，将开发 治疗乳腺癌和其他癌症 3.建立HIV感染动态模型的定量方法 项目、确定性和随机性模型将为 描述在急性发作期间艾滋病毒与免疫系统之间的相互作用 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.