Abstract
According to the clinical results from Manrique et. al. [1], a breast cancer immunotherapy model is established. The model is established based on biological principles and limited clinical results [1] for replications and prognostics of therapeutic effects. A single objective parametric optimization problem is formulated to find appropriate parameter values with biological meanings. Several constraints are formulated to satisfy both the disease progression without treatments and bio-system stability and equilibrium. To solve this parametric optimization problem with constraints automatically, the e-DE+NSGA-II algorithm is proposed. The constraint violation is the second objective to be optimized in NSGA-II. The proposed e-DE+NSGA-II can find the optimal parameters of the cancer immunotherapy model. The cancer immunotherapy model with the optimized parameters can not only replicate the clinical results from [1], but also provide prognostic outcomes for tumor rejection under various drug delivery schedules.
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