Mathematical Sciences: Biological Models with Time Delays and Spatial Dependence

数学科学：具有时滞和空间依赖性的生物模型

• 批准号: 8807360
• 负责人: Joseph Mahaffy
• 金额: $ 5.4万
• 依托单位: San Diego State University Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-15 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8807360&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Biological; Models; Time

This investigation will continue the study of cellular control models. There are three main areas of study in this project. First, the principal investigator will extend his analysis of compartmental models which include both time delays and spatial effects. These models are studied to show the stability of the differential equations describing the biological system. The second area of study details a model for the initiation of replication at OriC in E. coli. The model, which is based on biochemical kinetics, is being developed in conjunction with ongoing experiments. The final problem is to examine a linear delay differential equation with two time delays. For fixed delays the bifurcation surface is examined with respect to the coefficient parameters. For all three problems the project will be applicable to broad classes of equations that occur in modeling certain biological and physical phenomena.

这项研究将继续研究细胞 控制模型 在这方面有三个主要的研究领域 项目 首先，首席研究员将延长他的 分析包含时间延迟的房室模型 空间效应。 这些模型的研究表明， 描述生物学的微分方程的稳定性 系统 第二个研究领域详细介绍了一个模型， 在E.杆菌 该模型 是基于生物化学动力学， 结合正在进行的实验。 最后一个问题是 考察一类具有两个时间的线性时滞微分方程 延误了. 对于固定时滞，研究了分歧曲面 关于系数参数。 对于所有三 问题的项目将适用于广泛的类 在模拟某些生物和物理过程中出现的方程 现象。