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A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth |
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| Authors: | d'Onofrio Alberto Fasano Antonio Monechi Bernardo |
| Institution: | a Department of Experimental Oncology, European Institute of Oncology, Via Ripamonti 435, Milano, Italy b Department of Mathematics “Ulisse Dini”, University of Florence, Florence, Italy c Department of Physics, University of Florence, Florence, Italy |
| 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. |
| Keywords: | Tumor Laws of growth Quiescent cells Special functions Population-based models |
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