Mathematical Sciences: Mathematical Models of Cell Population Dynamics

数学科学：细胞群动力学的数学模型

• 批准号: 8722947
• 负责人: Glenn Webb
• 金额: $ 4.7万
• 依托单位: Vanderbilt University
• 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: 1988-06-01 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8722947&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Models; Cell; Population

This project involves a theoretical and numerical investigation of differential, integral and functional equations that arise in models of cell and other biological applications. A model of normal and malignant cell populations with periodic loss functions corresponding to periodic chemotherapeutic treatment will be analyzed with thew goal of optimizing the period of treatment. A general nonlinear functional equation model of structured population dynamics will be analyzed with the objective of establishing the stability of equilibrium states. A model of multispecies populations dispersing in spatial habitats will also be considered, comparing various dispersal strategies.

这个项目涉及到在细胞和其他生物应用模型中出现的微分方程式、积分方程式和函数方程的理论和数值研究。以优化治疗周期为目标，对具有周期性功能丧失的正常和恶性细胞种群模型进行分析。分析了一般的结构种群动力学的非线性函数方程模型，目的是建立平衡态的稳定性。还将考虑多物种种群在空间生境中扩散的模型，比较各种扩散策略。