# Delay Dynamics of Cancer and Immune Cell Model

Mathematical Modelling of Natural Phenomena (2012)

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

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topAdongo, 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 -

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