A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth

作者：d'Onofrio Alberto^*; Fasano Antonio; Monechi Bernardo

来源：Mathematical Biosciences, 2011, 230(1): 45-54.

DOI：10.1016/j.mbs.2010.01.001

• Tumor
• Laws of growth
• Quiescent cells
• Special functions
• Population-based models

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.

• 出版日期2011-3