Room P3.10, Mathematics Building

C. Maeve McCarthy, Murray State University, Kentucky
Optimal control of a chemotaxis system

Chemotaxis is the process by which cells aggregate under the force of a chemical attractant. The cell and chemoattractant concentrations are governed by a coupled system of parabolic partial differential equations. We investigate the optimal control of the proportion of cells being generated. The optimality system contains forward and backward reaction-diffusion and convection-diffusion equations. A numerical scheme is discussed that addresses the special needs of this coupled system.

This is joint work with K. Renee Fister, Murray State University.