K. Renee Fister
Department of Mathematics and Statistics
Murray State University
Murray, KY 42071
We propose a mathematical model for the growth of cell-cycle-specific
dose limiting bone marrow. We design the control functional to
maximize the bone marrow mass and minimize the cost to the system.
We characterize the optimal control in terms of the unique solution
to the optimality system, which is the state system coupled with
the adjoint system. Then, we analyze the optimal control and the
optimality system numerically which allows us to suggest optimal
methods of treatment that prevent excessive destruction of the
bone marrow based on the specific weights in our objective functional.
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Mathematics in Biology