Gerald Herring

Learn More
In this work, we show a mathematical model for the angiogenesis by endothelial cells. We present the model at the level of partial differential equations, describing the spatiotemporal evolution of the cell population, the extracellular matrix macromolecules, the proteases, the tumor angiogenic factors, and the possible presence of inhibitors. We mainly(More)
We examine one- and two-dimensional models of linearly coupled lattices of the discrete-nonlinear-Schrödinger type. Analyzing ground states of the system with equal powers (norms) in the two components, we find a symmetry-breaking phenomenon beyond a critical value of the total power. Asymmetric states, with unequal powers in their components, emerge(More)
Serial nasopharyngeal (np) cultures for Hib were obtained from twenty-three children (ages 2 months to 9 years) with invasive Hib disease during systemic antibiotic therapy (ampieillin, chloramphenicol, or both). During the first 12 hours of antibiotic therapy, 4 of 10 (40%) np cultures were positive; during the first 24 hours of therapy, 6 of 25 (24%) were(More)
  • 1