Journal
MATHEMATICAL BIOSCIENCES
Volume 230, Issue 1, Pages 45-54Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2011.01.001
Keywords
Tumor; Laws of growth; Quiescent cells; Special functions; Population-based models
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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. (C) 2011 Elsevier Inc. All rights reserved.
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