K. Renee Fister
Department of Mathematics and Statistics
Murray State University
Murray, KY 42071
kfister@math.mursuky.edu

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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1998-1999 Mathematics in Biology