3:45 - 4:15 :
Gurarie, David (Mathematics, Case Western Res University)
-Title: Immune regulation of malaria infection: model calibration and Agent-Based Communities
The talk will outline basic biology of malaria infection within host, and develop mathematical models that account for parasite growth and its immune regulation. We shall discuss how such models can be calibrated using malaria-therapy data, and present some recent results. Our calibrated in-host model can serve as a building block for Agent-based Communities (ABC). We shall demonstrate a few examples of such ABC, and look at the effect of transmission intensity on the resulting patterns of parasitemia. Our long-term goal is to apply 'agent-based' methodology to study parasite transmission and control in realistic environment, as an alternative to the standard population-based SIR approach (Ross-Macdonald).
4:15 - 4:45 :
(Mathematics, Oakland University)
-Title: A Mathematical Model for Vibrio Cholera Colonization in the Human Intestine
Vibrio cholera is a strict human pathogen that causes pandemic cholera. It is an old-world pathogen that has re-emerged as a new threat since the early 1990s. V. cholera colonizes the upper, small intestine where it produces a toxin that leads to the watery diarrhea, characterizing the disease. Colonization dynamics of the bacteria are largely unknown. Although a large initial infectious dose is required for infection, data suggests that only a smaller sub-population colonizes a portion of the small bowel leading to the disease. There are many barriers to colonization in the intestines. In this talk, I will elaborate on the dynamics of V. cholera infection by describing a mathematical model that governs the colonization process for the bacterial dynamics.