Geodesic
Logistic Equations in Tumour Growth Modelling
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 317-325
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The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.
Keywords: logistic equation, delay differential equation, reaction-diffusion equation, stability, global stability, Hopf bifurcation, spatial pattern, Ehrlich ascities tumour
Mots-clés : matematyka, medycyna 
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     author = {Fory\'s, U. and Marciniak-Czochra, A.},
     title = {Logistic {Equations} in {Tumour} {Growth} {Modelling}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {317--325},
     year = {2003},
     volume = {13},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a4/}
}
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Foryś, U.; Marciniak-Czochra, A. Logistic Equations in Tumour Growth Modelling. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 317-325. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a4/