|
This work studies the suitability
of state-of-the art continuous optimization
evolutionary algorithms for designing
combination cancer chemotherapies.
The design of cancer chemotherapy
treatments can be formulated as
an optimization problem. Specifically
as an optimal control problem, where
the underlying dynamical system
models the tumor progression; and
the controls are the drug concentrations
delivered into the system through
time. The objective is to minimize
the tumor levels during and at the
end of the treatment, while maintaining
the patient health at an acceptable
level. Efficient optimization algorithms
are required as modeling the cancer
progression and its treatment is
computationally expensive. We compare
three state-of-the-art evolutionary
algorithms for numerical optimization,
namely, CMA evolution strategy,differential
evolution, and particle swarm optimization.
The comparison considers algorithm's
convergenceproperties, the quality,
and the diversity of the obtained
solutions. The underlying mathematical
model of tumor growth incorporates
tumor cells in different phases
of the cell cycle, and the immune
system response. Moreover two types
of cancer drugs are modeled: a cytotoxic
agent and a cytostatic agent.
|