2011, 2011(Special): 971-980. doi: 10.3934/proc.2011.2011.971

Dynamics of tumor-immune interaction under treatment as an optimal control problem

1. 

Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026

2. 

Dept. of Mechanical Science and Engineering, Univeristy of Illinois at Urbana-Champaign, 1206 W. Green Street, Urbana, IL, 61801-2906, United States

3. 

Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Missouri, 63130-4899

Received  July 2010 Revised  August 2010 Published  October 2011

For a mathematical model for cancer-immune system interactions under chemotherapy, we consider the problem of moving an initial condition that lies in a region of malignant cancer growth through therapy into a region where cancer regresses and thus control the cancer. We formulate this treatment goal as an optimal control problem and discuss the solutions for various related objective functions in the model.
Citation: Urszula Ledzewicz, Mohammad Naghnaeian, Heinz Schättler. Dynamics of tumor-immune interaction under treatment as an optimal control problem. Conference Publications, 2011, 2011 (Special) : 971-980. doi: 10.3934/proc.2011.2011.971
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