Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.
Cancer Growth and Progression, Mathematical Problems and Computer Simulations
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 13, number 3 (2003) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2021-10-18
2021-10-18
283
https://zbc.uz.zgora.pl/publication/65906
Nazwa wydania | Data |
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Logistic equations in tumour growth modelling | 2021-10-18 |
Bodnar, Marek Foryś, Urszula Arino, Ovide - ed.
Xu, Changjin Liao, Maoxin He, Xiaofei Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Chenafa, Mohammed Mansouri, Abdellah Bouhenna, Abderrahmane Etien, Eric Belaidi, Abdelkader Denai, Mouloud Azzedine Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zduniak, Beata Bodnar, Marek Foryś, Urszula Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zhang, Qianhong Yang, Lihui Liao, Daixi Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Filipovic, Vojislav Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Chen, Qiaoling Teng, Zhidong Hu, Zengyun Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Erla, Srinivas Kolloju, Phaneendra Jurczak, Paweł - red.