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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Mathematical Modeling Of Phage-Bacteria Population Dynamics, John Lawrence D. Palacios
Mathematical Modeling Of Phage-Bacteria Population Dynamics, John Lawrence D. Palacios
Theses and Dissertations
Bacteriophages are viruses that infect and replicate within bacteria. Lytic phages cause the bacterial cell to burst, killing the bacteria. These types of phages can be used to treat patients with antibiotic-resistant bacterial infections. As a step in developing successful treatment protocols, we aim to understand the population dynamics of phages and bacteria using an in vitro model. We model the dynamics using the Campbell model, which consists of a delay differential equation (DDE), as a base model. We extended the model by including the emergence of phage resistance. We then compared the DDE model with a parallel ordinary differential …
A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres
A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres
Theses and Dissertations
An energy balance model of human metabolism developed by Hall et al. is extended to compare body composition outcomes among standard and proposed obesity interventions. Standard interventions include a drastic diet or a drastic diet with endurance training. Outcomes for these interventions are typically poor in clinical studies. Proposed interventions include a gradual diet and the addition of resistance training to preserve lean mass and metabolic rate. We see that resistance training, regardless of dietary strategy, achieves these goals. Finally, we observe that the optimal obesity intervention for continued maintenance of a healthy body composition following a diet includes a …