Abstract
We present a new extension of Gompertz law for tumour growth and anti-tumour therapy. After discussing its qualitative and analytical properties, we show, in the spirit of [16], that, like the standard Gompertz model, it is fully compatible with the two-population model of Gyllenberg and Webb, formulated in [14] in order to provide a theoretical basis to Gompertz law. Compatibility with the model proposed in [17] is also investigated. Comparisons with some experimental data confirm the practical applicability of the model. Numerical simulations about the method performance are presented.
Original language | English |
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Pages (from-to) | 45-54 |
Number of pages | 10 |
Journal | Mathematical Biosciences |
Volume | 230 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2011 |
Keywords
- Laws of growth
- Population-based models
- Quiescent cells
- Special functions
- Tumor
ASJC Scopus subject areas
- Medicine(all)
- Immunology and Microbiology(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Agricultural and Biological Sciences(all)
- Modelling and Simulation
- Statistics and Probability
- Applied Mathematics