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Full-Text Articles in Physical Sciences and Mathematics
Mathematical Modelling Of Prophage Dynamics, Tyler Pattenden
Mathematical Modelling Of Prophage Dynamics, Tyler Pattenden
Electronic Thesis and Dissertation Repository
We use mathematical models to study prophages, viral genetic sequences carried by bacterial genomes. In this work, we first examine the role that plasmid prophage play in the survival of de novo beneficial mutations for the associated temperate bacteriophage. Through the use of a life-history model, we determine that mutations first occurring in a plasmid prophage are far more likely to survive drift than those first occurring in a free phage. We then analyse the equilibria and stability of a system of ordinary differential equations that describe temperate phage-host dynamics. We elucidate conditions on dimensionless parameters to determine a parameter …
Phage-Bacteria Interaction And Prophage Sequences In Bacterial Genomes, Amjad Khan
Phage-Bacteria Interaction And Prophage Sequences In Bacterial Genomes, Amjad Khan
Electronic Thesis and Dissertation Repository
In this investigation, we examined the interaction of phages and bacteria in bacterial biofilm colonies, the evolution of prophages (viral genetic material inserted into the bacterial genome) and their genetic repertoire. To study the synergistic effects of lytic phages and antibiotics on bacterial biofilm colonies, we have developed a mathematical model of ordinary differential equations (ODEs). We have also presented a mathematical model consisting of a partial differential equation (PDEs), to study evolutionary forces acting on prophages. We fitted the PDE model to three publicly available databases and were able to show that induction is the prominent fate of intact …