Core--Mathematical & statistical analysis & modeling

中心的总体目标以及基本上所有项目和核心的个别具体目标都需要定量工具，例如实验设计和分析的统计方面，制定最佳实验方法，以及接触和健康的确定性和随机建模。数学和统计分析和建模（MSAM）核心的目的是有效地提供这些服务，这将提高正在执行的工作的整体质量，并在中心项目之间建立牢固的关系。一个由环境建模师、生物统计学家和数学家组成的跨学科小组，他们共同拥有完成MSAM核心目标所需的经验和培训，他们将共同组成一个协作团队，为中心提供广泛的服务。本项目的总体目标可分为以下几个具体目标：(1)协助中心研究人员进行实验设计；(2)协助中心研究人员分析实验数据，形成统计推论；(3)协助开发复杂测量设备的最佳使用方法（例如，x射线衰减）；(4)研究生物转化和传质现象的方法；(5)与中心研究人员合作开发复杂的暴露模型；(6)为随机暴露和健康建模提供数值方法支持；(7)获得专门的数学和统计软件和模型（如药代动力学模型），并与中心研究人员合作使用这些工具。该项目的具体目标将通过组建一个在环境建模各个方面具有广泛专业知识的团队来实现，包括：实验设计和分析的统计分析，确定性和随机环境建模，包括：实验设计的统计分析、确定性和随机模型的制定、数值解方法、误差估计、自适应网格细化、均质化方法、空间/时间估计方法和成分暴露建模。这一核心的工作人员所提供的专门知识既广泛又深入，这将大大增强中心的力量。

The overall goals of the Center and the individual specific aims of essentially all projects and cores requires quantitative tools, such as statistical aspects of experimental design and analysis, the development of optimal experimental methods, and deterministic and stochastic modeling of exposure and health. The purpose of the Mathematical and Statistical Analysis and Modeling (MSAM) Core is efficiently provide these services, which will improve the overall quality of the work being performed and build strong relationships among Center projects. An interdisciplinary group of environmental modelers, biostatisticians, and mathematicians, who together have the requisite experience and training to accomplish the goals of the MSAM Core, will join together in a collaborative team to provide a broad range of services to the Center. The overall goal of this project can be divided into the following specific aims: (1) to assist Center researchers with experimental design; (2) to aid Center researchers with the analysis of experimental data and the formation of statistical inferences; (3) to assist with the development of methods for optimal use of complex measurement devices (e.g, X-ray attenuation); (4) to develop methods for biological transformations and mass transfer phenomena; (5) to collaborate with Center researchers on the development of sophisticated models of exposure; (6) to provide numerical methods support for stochastic exposure and health modeling; and (7) to obtain specialized mathematical and statistical software and models (e.g., pharmacokinetic models) and work with Center researchers on the use of such tools. The specific aims of this project will be met through assembling a team that has broad expertise in all aspects of environmental modeling, including: statistical analysis of experimental design and analysis, deterministic and stochastic environmental modeling, including: statistical analysis of experimental design, and deterministic and stochastic model formulation, numerical solution approaches, error estimation, adaptive grid refinement, homogenization method, spatial/temporal estimation methods, and composition exposure modeling. The expertise offered by the collection of personnel on this Core is both broad and deep, which will add significant strength to the Center.