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Full-Text Articles in Physical Sciences and Mathematics
Analyzing Cholera Dynamics In Homogeneous And Heterogeneous Environments, Drew Posny
Analyzing Cholera Dynamics In Homogeneous And Heterogeneous Environments, Drew Posny
Mathematics & Statistics Theses & Dissertations
Cholera continues to be a serious public health concern in developing countries and the global increase in the number of reported outbreaks suggests that activities to control the diseases and surveillance programs to identify or predict the occurrence of the next outbreaks are not adequate. Mathematical models play a critical role in predicting and understanding disease mechanisms, and have long provided basic insights in the possible ways to control infectious diseases. This dissertation is concerned with mathematical modeling and analysis of cholera dynamics. First, we study an autonomous model in a homogeneous environment with added controls that involves both direct …
Modeling And Simulation Of Shape Changes Of Red Blood Cells In Shear Flow, John Gounley
Modeling And Simulation Of Shape Changes Of Red Blood Cells In Shear Flow, John Gounley
Mathematics & Statistics Theses & Dissertations
A description of the biomechanical character of red blood cells is given, along with an introduction to current computational schemes which use deformable capsules to simulate red blood cell shape change. A comprehensive two- and three-dimensional framework for the fluid-structure interaction between a deformable capsule and an ambient flow is provided. This framework is based on the immersed boundary method, using lattice Boltzmann and finite element methods for the fluid and structure, respectively. The characteristic response and recovery times of viscoelastic circular and spherical capsules are compared, and their dependence on simulation parameters is shown. The shape recovery of biconcave …