Mathematical Models of Structured Populations in Biology

Webb0190148 研究了结构化总体的微分方程模型。 结构化模型是在考虑四种应用时产生的：（1）由细胞周期构成的肿瘤细胞模型，（2）由细胞成熟度构成的具有增殖和静止区室的血细胞生产系统模型，（3）由聚合物长度构成的复制朊病毒种群模型，（4）由患者入院后的时间构成的透析诊所中万古霉素耐药肠球菌流行病模型。 本项目将理论数学应用于涉及群体相互作用的生物学和医学研究。 本研究的具体目标是确定血管化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中朊病毒群体生长聚合过程中的假设机制（疯牛病），并预测在透析诊所的卫生保健工作者的卫生，病人与卫生保健工作者的比例，暂时缺席的病人筛选的流行病学效果。 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。

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.