Mathematical Models of Structured Populations in Biology

生物学中结构化群体的数学模型

• 批准号: 0109148
• 负责人: Glenn Webb
• 金额: $ 12.67万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2004-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0109148&HistoricalAwards=false
• 关键词: Mathematical; Models; Structured; Populations; Biology

Webb0190148 The investigator studies differential equation models ofstructured populations. The structured models arise inconsidering four applications: (1) models of tumor cordsstructured by the cell cycle, (2) models of blood cell productionsystems with proliferating and quiescent compartments structuredby cell maturity, (3) models of replicating prion populationsstructured by polymer length, and (4) models ofvancomycin-resistant enterococci epidemics in dialysis clinicsstructured by the time since patient admission. This project applies theoretical mathematics to biologicaland medical research involving population interactions. Thespecific goals are to identify the behavior of proliferating andquiescent cell populations in the micro-architecture ofvascularized tumors, to differentiate, qualitatively andquantitatively, the development of normal and abnormal blood cellpopulation lines, to evaluate hypothetical mechanisms involved inthe polymerization processes of prion population growth intransmissible spongiform encephalopathies (mad cow disease), andto predict the epidemiological effects in dialysis clinics ofhealth care worker hygiene, patient-health care worker ratios,and screening of temporarily absent patients. Benefits tosociety are the project's contributions to the fundamentalknowledge of biological and health sciences.

Webb0190148调查者研究结构种群的微分方程模型。结构化模型的产生考虑了四个应用：(1)由细胞周期构成的肿瘤模型，(2)由细胞成熟度构成的增殖室和静止室的血细胞生产系统模型，(3)由聚合物长度构成的复制普恩种群模型，以及(4)透析临床中耐万古霉素肠球菌流行的模型。该项目将理论数学应用于涉及种群相互作用的生物学和医学研究。其具体目标是识别血管肿瘤微结构中增殖和静止细胞群的行为，定性和定量区分正常和异常血细胞群系的发展，评估传染性海绵状脑病(疯牛病)中Pron种群增长聚合过程中涉及的假说机制，并预测透析诊所中医护人员卫生、患者-医护人员比例和暂时缺席患者的筛查的流行病学影响。对社会的好处是该项目对生物和健康科学基础知识的贡献。