Mathematical Sciences: Mathematical Models of Solid and Partially Solid Tumor Growth by Diffusion

数学科学：实体瘤和部分实体瘤扩散生长的数学模型

• 批准号: 8822290
• 负责人: John Adam
• 金额: $ 5万
• 依托单位: Old Dominion University Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-05-01 至 1991-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8822290&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Models; Solid; Partially

The general objective of this project is the development and analysis of mathematical models of solid tumor growth by diffusion. The models will describe the evolution from an initial multicellular spheroid of a tumor, taking into account the diffusion of nutrient and growth-inhibitory factors within the tumor. The mathematics involved in the project includes the study of nonlinear diffusion equations and integro-differential equations. Questions of existence, unicity, stability, and qualitative behavior of solutions to these equations will be addressed.

该项目的总体目标是开发和 实体瘤生长的数学模型分析 扩散这些模型将描述从一个 肿瘤的初始多细胞球体，考虑到 营养物质和生长抑制因子的扩散 肿瘤 该项目涉及的数学包括研究 非线性扩散方程与积分微分 方程 存在性、唯一性、稳定性和 这些方程的解的定性行为将是 处理。