Optimal control of a chemotaxis system

Authors:
K. Renee Fister and C. Maeve McCarthy

Journal:
Quart. Appl. Math. **61** (2003), 193-211

MSC:
Primary 49J20; Secondary 35K50, 35K57, 49K20, 49N90, 92C17

DOI:
https://doi.org/10.1090/qam/1976365

MathSciNet review:
MR1976365

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Abstract | References | Similar Articles | Additional Information

Abstract: 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 in two settings. One involves harvesting the actual cells and the other depicts removing a proportion of the chemoattractant. The optimality system for each problem contains forward and backward reaction-diffusion and convection-diffusion equations. Numerical results are presented.

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DOI:
https://doi.org/10.1090/qam/1976365

Article copyright:
© Copyright 2003
American Mathematical Society