title: A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth.
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.
authors.affiliation: Department of Experimental Oncology, European Institute of Oncology, Via Ripamonti 435, Milano, Italy. alberto.donofrio@ifom-ieo-campus.it
authors.forename: Alberto
authors.initials: A
authors.lastname: d'Onofrio
authors.forename: Antonio
authors.initials: A
authors.lastname: Fasano
authors.forename: Bernardo
authors.initials: B
authors.lastname: Monechi
mesh_terms: D000465:Algorithms; D000818:Animals; D049109:Cell Proliferation; D003198:Computer Simulation; D005260:Female; D006801:Humans; D015674:Mammary Neoplasms, Animal / Q000473:pathology; D008325:Mammary Neoplasms, Experimental / Q000473:pathology; D051379:Mice; D008819:Mice, Nude; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology* / Q000628:therapy