Delay Dynamics of Cancer and Immune Cell Model

D. Adongo; K.R. Fister

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 1, page 261-278
  • ISSN: 0973-5348

Abstract

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We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the difficulties that occur in the control of cancer.

How to cite

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Adongo, D., and Fister, K.R.. "Delay Dynamics of Cancer and Immune Cell Model." Mathematical Modelling of Natural Phenomena 7.1 (2012): 261-278. <http://eudml.org/doc/222381>.

@article{Adongo2012,
abstract = {We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the difficulties that occur in the control of cancer.},
author = {Adongo, D., Fister, K.R.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {optimal control; chemotherapy drug; cancer cells},
language = {eng},
month = {1},
number = {1},
pages = {261-278},
publisher = {EDP Sciences},
title = {Delay Dynamics of Cancer and Immune Cell Model},
url = {http://eudml.org/doc/222381},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Adongo, D.
AU - Fister, K.R.
TI - Delay Dynamics of Cancer and Immune Cell Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/1//
PB - EDP Sciences
VL - 7
IS - 1
SP - 261
EP - 278
AB - We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the difficulties that occur in the control of cancer.
LA - eng
KW - optimal control; chemotherapy drug; cancer cells
UR - http://eudml.org/doc/222381
ER -

References

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