On the therapy effect for a stochastic growth Gompertz-type model

DOI10.1016/j.mbs.2011.11.007zbMath1237.92049OpenAlexW2144639832WikidataQ43665359 ScholiaQ43665359MaRDI QIDQ423091

Virginia Giorno, Patricia Román-Román, Francisco Torres-Ruiz, Giuseppina Albano

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.11.007

zbMATH Keywords

diffusion processrandom growthfirst-passage-timesGompertz curve

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

A stochastic Gompertz model highlighting internal and external therapy function for tumour growth ⋮ On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model ⋮ A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy ⋮ Inferring the effect of therapies on tumor growth by using diffusion processes

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• A new integral equation for the evaluation of first-passage-time probability densities
• First-passage-time densities for time-non-homogeneous diffusion processes

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