# Dynamics of the tumor-immune system competition - the effect of time delay

International Journal of Applied Mathematics and Computer Science (2003)

- Volume: 13, Issue: 3, page 395-406
- ISSN: 1641-876X

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topGalach, Magda. "Dynamics of the tumor-immune system competition - the effect of time delay." International Journal of Applied Mathematics and Computer Science 13.3 (2003): 395-406. <http://eudml.org/doc/207653>.

@article{Galach2003,

abstract = {The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.},

author = {Galach, Magda},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {mathematical model; differential equation; time delay; tumor growth},

language = {eng},

number = {3},

pages = {395-406},

title = {Dynamics of the tumor-immune system competition - the effect of time delay},

url = {http://eudml.org/doc/207653},

volume = {13},

year = {2003},

}

TY - JOUR

AU - Galach, Magda

TI - Dynamics of the tumor-immune system competition - the effect of time delay

JO - International Journal of Applied Mathematics and Computer Science

PY - 2003

VL - 13

IS - 3

SP - 395

EP - 406

AB - The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.

LA - eng

KW - mathematical model; differential equation; time delay; tumor growth

UR - http://eudml.org/doc/207653

ER -

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