A mathematical immunochemoradiotherapy model: A multiobjective approach

Abstract

This study developed a near optimization immunochemoradiotherapy model, which has three objectives; maximizing total weighted damage of cancer cells, minimizing total weighted side effect and minimizing total dose related therapy costs, originated from the Weapon-Target Assignment problem (WTA) of military operations research. The multi-objective structure is transformed into a single-objective format via goal programming. The presented model is a mixed-integer nonlinear goal programming model. A non-clinical hypothetical illustrative example is solved using MS Excel's Solver tool as a powerful spreadsheet tool. The theoretical result is extremely impressive especially compared with result of the single-objective program. The model facilitates cancer therapists to act in a multi-objective frame. However, the model is extremely needed to have clinical experiments to validate its theoretical power. This theoretical model is a virtuous synthesis of military and medical operations research. (c) 2006 Elsevier Ltd. All rights reserved.