Now showing items 1-9 of 9

    • A mathematical model of retinal neovascularization 

      Maggelakis, Sophia; Savakis, Andreas (Elsevier Science B.V., 1999-01)
      A mathematical model based on diffusion equations is presented, which directly relates the production of Vascular Endothelial Growth Factor (VEGF) in the retina to oxygen concentration and consumption, the capillary density ...
    • Mathematics & Statistics Newsletter 

      Basener, William; Hill, Rebecca; Maggelakis, Sophia; Marengo, James; Paliouras, John; Ross, David; Runyon, Jim; Szpunar-Lojasiewicz, Wanda; Cicero, Shelly; Kostyuk, Victor; Pulcini, Mike; Steflik, Liz (Department of Mathematics & Statistics, 2002-02)
    • Mathematics & Statistics Newsletter 

      Coppenbarger, Matthew; Diute, Patricia; Schey, Harry; Cicero, Shelly; Maggelakis, Sophia (Department of Mathematics & Statistics, 2008-01)
    • Mathematics & Statistics Newsletter 

      Coppenbarger, Matthew; Maggelakis, Sophia; Schey, Harry; Szpunar-Lojasiewicz, Wanda; Cicero, Shelly; Bethel, Julia; Dufore, Greg; Kostyuk, Victor; Crystal, David (Department of Mathematics & Statistics, 2005-01)
    • Mathematics & Statistics Newsletter 

      Coppenbarger, Matthew; Hill, Rebecca; Maggelakis, Sophia; Szpunar-Lojasiewicz, Wanda; Cicero, Shelly; Dispenza, Charles; Shumanski, Karina; Crystal, David (Department of Mathematics & Statistics, 2004-01)
    • Mathematics & Statistics Newsletter 

      Cicero, Shelly; Coppenbarger, Matthew; Diute, Patricia; Khan, Akhtar; Schey, Harry; Wilson, Paul; Batista, Mao; Maggelakis, Sophia; Ross, David (Department of Mathematics & Statistics, 2009-07)
    • Mathematics & Statistics Newsletter 

      Diute, Patricia; Maggelakis, Sophia; Schey, Harry; Cicero, Shelly (Department of Mathematics & Statistics, 2008-05)
    • Modeling the role of angiogenesis in epidermal wound healing 

      Maggelakis, Sophia (Aims Press, 2003)
      The effects of angiogenesis on oxygenation of an epidermal wound are described using a mathematical model. Diffusion equations are used to characterize the dependence of the wounded tissue regeneration on oxygen availability, ...
    • Models of shrinking clusters with applications to epidermal wound healing 

      Savakis, Andreas; Maggelakis, Sophia (Elsevier Science B.V., 1997-03)
      Models of growing clusters, such as the Eden model and Diffusion Limited Aggregation (DLA), have been widely used to describe a variety of natural growth processes. In this paper, we develop models of shrinking clusters ...