An optimal control approach to cancer treatment under immunological activity

Urszula Ledzewicz, Mohammad Naghnaeian, and Heinz Schättler. "An optimal control approach to cancer treatment under immunological activity." Applicationes Mathematicae 38.1 (2011): 17-31. <http://eudml.org/doc/280024>.

@article{UrszulaLedzewicz2011,
abstract = {Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.},
author = {Urszula Ledzewicz, Mohammad Naghnaeian, Heinz Schättler},
journal = {Applicationes Mathematicae},
keywords = {optimal control; stable manifold; mathematical model; tumor-immune dynamics; cancer treatment},
language = {eng},
number = {1},
pages = {17-31},
title = {An optimal control approach to cancer treatment under immunological activity},
url = {http://eudml.org/doc/280024},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Urszula Ledzewicz
AU - Mohammad Naghnaeian
AU - Heinz Schättler
TI - An optimal control approach to cancer treatment under immunological activity
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 1
SP - 17
EP - 31
AB - Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.
LA - eng
KW - optimal control; stable manifold; mathematical model; tumor-immune dynamics; cancer treatment
UR - http://eudml.org/doc/280024
ER -