Logistic equations in tumour growth modelling
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As a first approach a well-known ordinary differential equation is used to model the Ehrlich ascities tumour in mice. For the same kind of tumour, a logistic equation with time delay is also u...
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2003
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| In: |
Applied mathematics and computer science
Year: 2003, Volume: 13, Issue: 3, Pages: 317-325 |
| ISSN: | 0867-857X |
| Online Access: |
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| Author Notes: | Anna Marciniak-Czochra |
| Summary: | The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As a first approach a well-known ordinary differential equation is used to model the Ehrlich ascities tumour 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. |
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| ISSN: | 0867-857X |