Graphs of Leavitt Path Algebras: A natural equivalence relation on finite acyclic directed graphs arises from the graded isomorphisms between finite dimensional Leavitt path algebras. We will identify graph-theoretic properties for which each equivalence class contains a unique possessing these properties.
Tuesday, May 1, 2012
Gravitational Effects on Blood Flow Velocity: How fast does blood flow through the arteries with each heart beat? In this presentation I will look at Womersley flow, a classical approach to calculating blood flow velocity. This approach assumes flow through a rigid tube, and uses concepts from fluid mechanics to model the flow velocity. Bessel functions and the Navier-Stokes equations are used in the model, and Fourier series are used to model the pressure gradient function. I will also examine an extension to the model to include gravitational effects on blood flow. Results will be given for various gravitational fields and for different animals.