Angela M. Gallegos

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We analyze the phenomenon of spreading of a Myxococcus xanthus bacterial colony on plates coated with nutrient. The bacteria spread by gliding on the surface. In the first few hours, cell growth is irrelevant to colony spread. In this case, bacteria spread through peninsular protrusions from the edge of the initial colony. We analyze the diffusion through(More)
Dendritic cells are a promising immunotherapy tool for boosting an individual's antigen-specific immune response to cancer. We develop a mathematical model using differential and delay-differential equations to describe the interactions between dendritic cells, effector-immune cells, and tumor cells. We account for the trafficking of immune cells between(More)
The crocodilia have multiple interesting characteristics that affect their population dynamics. They are among several reptile species which exhibit temperature-dependent sex determination (TSD) in which the temperature of egg incubation determines the sex of the hatchlings. Their life parameters, specifically birth and death rates, exhibit strong(More)
The properties of a two dimensional dynamical system are described. The structure of the system is explored through the study of t-lines and their images under the transformation operator, Φ6. The analysis of t-line, Lt, images leads to a closed form parametrization for the discriminant curve of the cubic. The parametrization, λ(s), is utilized to study the(More)
A well-known phenomenon among reptile species is temperature-dependent sex determination (TSD) in which the temperature of egg incubation determines the sex of the hatchlings. Based on previous work in (Murray, 2002) and (Woodward and Murray, 1993) we develop a delay differential equation (DDE) model describing the nesting habits of crocodilians; the delay(More)
The activation of a specific immune response takes place in the lymphoid organs such as the spleen. We present here a simplified model of the proliferation of specific immune cells in the form of a single delay equation. We show that the system can undergo switches in stability as the delay is increased, and we interpret these results in the context of(More)
We examined how wastewater treatment plant (WWTP) inputs affect fluvial biofilm functioning and structure developing on river surface sediments in two different reaches characterized by different anthropogenic pressures. The upper reach includes one site before and one after Palautordera WWTP (Pref and P, respectively); the lower reach includes one site(More)
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