Matching Items (2)
Description
Bacteriophage (phage) are viruses that infect bacteria. Typical laboratory experiments show that in a chemostat containing phage and susceptible bacteria species, a mutant bacteria species will evolve. This mutant species is usually resistant to the phage infection and less competitive compared to the susceptible bacteria species. In some experiments, both susceptible and resistant bacteria species, as well as phage, can coexist at an equilibrium for hundreds of hours. The current research is inspired by these observations, and the goal is to establish a mathematical model and explore sufficient and necessary conditions for the coexistence. In this dissertation a model with infinite distributed delay terms based on some existing work is established. A rigorous analysis of the well-posedness of this model is provided, and it is proved that the susceptible bacteria persist. To study the persistence of phage species, a "Phage Reproduction Number" (PRN) is defined. The mathematical analysis shows phage persist if PRN > 1 and vanish if PRN < 1. A sufficient condition and a necessary condition for persistence of resistant bacteria are given. The persistence of the phage is essential for the persistence of resistant bacteria. Also, the resistant bacteria persist if its fitness is the same as the susceptible bacteria and if PRN > 1. A special case of the general model leads to a system of ordinary differential equations, for which numerical simulation results are presented.
ContributorsHan, Zhun (Author) / Smith, Hal (Thesis advisor) / Armbruster, Dieter (Committee member) / Kawski, Matthias (Committee member) / Kuang, Yang (Committee member) / Thieme, Horst (Committee member) / Arizona State University (Publisher)
Created2012
Description
Bacteriophage provide high specificity to bacteria; receiving interest in various applications and have been used as target recognition tools in designing bioactive surfaces. Several current immobilization strategies to detect and capture bacteriophage require non-deliverable bioactive substrates or modifying the chemistry of the phage, procedures that are labor intensive and can damage the integrity of the virus. The aim of this research was to develop the framework to physisorb and chemisorb T4 coliphage on varied sized functionalized silica particles while retaining its infectivity. First, silica surface modification, silanization, altered pristine silica colloids to positively, amine coated silica. The phages remain infective to their host bacteria while adsorbed on the surface of the silica particles. It is reported that the number of infective phage bound to the silica is enhanced by the immobilization method. It was determined that covalent attachment yielded 106 PFU/ml while electrostatic attachment resulted in 105 PFU/ml.
ContributorsBone, Stephanie (Author) / Perreault, Francois (Thesis advisor) / Alum, Absar (Committee member) / Hristovski, Kiril (Committee member) / Arizona State University (Publisher)
Created2017