Title : ( Optimal Control for General n-Compartmental Models in Cancer Chemotherapy Using Measure Theoretical Approach )
Authors: mohammad hadi noori skandari , Mohammad Hadi Farahi ,
Full TextAbstract
In this paper we consider the general compartmental models for cancer chemother- apy as an optimal control problems over a fix therapy interval with drug dosages as controls and with arbitrary objectives (linear, quadratic or nonlinear). These models are based on cell-cycle kinetics. Here we use the measure theoretical approach for obtaining the optimal solutions of these problems. In this approach, the optimal control problems are converted to the corresponding linear programming problems. Using optimal solutions of these linear programming problems, we can construct the approximate optimal control and optimal state for original problem.
Keywords
, Optimal control, Cancer Chemotherapy, Compartmental Models, Measure the- ory, Linear programming.
@article{paperid:1034478,
author = {Noori Skandari, Mohammad Hadi and Farahi, Mohammad Hadi},
title = {Optimal Control for General n-Compartmental Models in Cancer Chemotherapy Using Measure Theoretical Approach},
journal = {International journal of sensing, computing & control},
year = {2012},
volume = {2},
number = {1},
month = {January},
issn = {2185-0763},
pages = {27--37},
numpages = {10},
keywords = {Optimal control; Cancer Chemotherapy; Compartmental Models; Measure the-
ory; Linear programming.},
}
%0 Journal Article
%T Optimal Control for General n-Compartmental Models in Cancer Chemotherapy Using Measure Theoretical Approach
%A Noori Skandari, Mohammad Hadi
%A Farahi, Mohammad Hadi
%J International journal of sensing, computing & control
%@ 2185-0763
%D 2012
