Computer Science NASC Seminar

Aggregation of Microglia in 2D with a Gradient Weighted Moving Finite Element Method

Abigail Wacher, Durham University

April 01, 2011 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110

Spring 2011 NASC Seminars Calendar


Pattern formation, such as in chemotactic cell (microglia)
aggregation, is an important phenomenon within Biology and Chemistry.
Moving finite element methods are designed for tracking moving shocks
and complex structures with a fixed number of nodes, making these methods
ideal for chemotaxis models where, for the appropriate parameters, cells
aggregate into sharp peaks. In my talk I will discuss the general idea
of the adaptive mesh technique called "String Gradient Weighted Moving
Finite Elements" and I will present results to several
systems of non-linear Partial Differential Equations. I will
conclude the talk by discussing a 2D model for aggregation of microglia
in two spatial dimensions solved numerically using the String Gradient
Weighted Moving Finite Element method.

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