Core--Mathematical & statistical analysis & modeling

核心--数学

• 批准号: 6587632
• 负责人: Cass T Miller
• 金额: $ 17.52万
• 依托单位: UNIV OF NORTH CAROLINA CHAPEL HILL
• 依托单位国家: 美国
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-04-01 至 2003-03-31
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/6587632
• 关键词: biomedical facility; environmental exposure; environmental health; environmental toxicology; environmental transport; experimental designs; hazardous substances; mathematical model; model design /development; statistical service /center; statistics /biometry

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.

该中心的总体目标以及基本上所有项目和核心的个人特定目标都需要定量工具，例如实验设计和分析的统计方面，最佳实验方法的开发以及暴露和健康的确定性和随机建模。数学和统计分析和建模（MSAM）核心的目的有效地提供了这些服务，这将提高所执行工作的整体质量，并在中心项目之间建立牢固的关系。一个跨学科的环境建模者，生物统计学家和数学家团体共同拥有必要的经验和培训来实现MSAM核心的目标，他们将共同参加一个协作团队，为中心提供广泛的服务。该项目的总体目标可以分为以下特定目的：（1）帮助中心研究人员进行实验设计； （2）帮助中心研究人员分析实验数据和统计推断的形成； （3）协助开发用于最佳使用复杂测量设备的方法（例如X射线衰减）； （4）开发生物转化和传质现象的方法； （5）与中心研究人员合作开发了复杂的曝光模型； （6）提供数值方法支持随机暴露和健康建模； （7）获得专门的数学和统计软件和模型（例如药代动力学模型），并与中心研究人员合作使用此类工具。 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建模。该核心人员收集的人员提供的专业知识既广泛又深，这将为中心增添重要优势。