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

DOI10.1016/j.mbs.2011.01.001zbMath1219.92052OpenAlexW2063419127WikidataQ51613580 ScholiaQ51613580MaRDI QIDQ543860

Bernardo Monechi, Fasano, Antonio, Alberto d'Onofrio

Publication date: 17 June 2011

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.01.001

zbMATH Keywords

special functionsquiescent cellslaws of growthpopulation-based modelstumor

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50)

Related Items (9)

Analysis of non-autonomous stochastic Gompertz model with delay ⋮ A stochastic Gompertz model highlighting internal and external therapy function for tumour growth ⋮ An approach for deriving growth equations for quantities exhibiting cumulative growth based on stochastic interpretation ⋮ The nature of Hopf bifurcation for the Gompertz model with delays ⋮ Inference on a stochastic two-compartment model in tumor growth ⋮ Parameter non-identifiability of the Gyllenberg-Webb ODE model ⋮ Explosion birth and extinction: double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models ⋮ Measuring differences between phenomenological growth models applied to epidemiology ⋮ Tumor Development Under Combination Treatments with Anti-angiogenic Therapies

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