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

Alberto d&apos;Onofrio; Antonio Fasano; Bernardo Monechi

doi:10.1016/j.mbs.2011.01.001

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

Alberto d'Onofrio, Antonio Fasano, Bernardo Monechi

Istituto Europeo di Oncologia

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	45-54
Number of pages	10
Journal	Mathematical Biosciences
Volume	230
Issue number	1
DOIs	https://doi.org/10.1016/j.mbs.2011.01.001
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

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10.1016/j.mbs.2011.01.001

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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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AU - d'Onofrio, Alberto

AU - Fasano, Antonio

AU - Monechi, Bernardo

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N2 - 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.

AB - 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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KW - Population-based models

KW - Quiescent cells

KW - Special functions

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

Abstract

Keywords

ASJC Scopus subject areas

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