Daniel Goldman, PhD, assistant professor of mathematical sciences and biomedical engineering, uses realistic mathematical and computational models to study circulation, especially in small blood vessels and how they deliver oxygen to body tissue. Supported by a grant from the Whitaker Foundation, he is studying blood flow and mass transport in the microcirculatory system during sepsis, a toxic condition resulting from the spread of bacteria or their products from a focus of infection. The project aims to increase basic understanding of the mechanisms of this common and often fatal condition, and to evaluate treatment strategies. Dr. Goldman is also working to improve numerical methods for studying time-dependent microvascular transport and investigating the factors that determine how blood flows in capillary networks under various normal and pathological conditions.
The figures below show examples of a typical capillary network and tissue domain used for blood flow and steady-state oxygen transport simulations. Well-oxygenated regions, where oxygen pressure (PO2) is relatively high, are indicated in red, while hypoxic regions are shown in blue.