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A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment
Published on: December 1, 2023
A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth
Alberto d'Onofrio1, Antonio Fasano, Bernardo Monechi
1Department of Experimental Oncology, European Institute of Oncology, Via Ripamonti 435, Milano, Italy. alberto.donofrio@ifom-ieo-campus.it
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.
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