Modeling tumor growth in the presence of a therapy with an effect on rate growth and variability by means of a modified Gompertz diffusion process

DOI10.1016/j.jtbi.2016.07.023zbMath1344.92078OpenAlexW2491154808WikidataQ39568246 ScholiaQ39568246MaRDI QIDQ309182

Mohammad Hasan, M. Dambrine

Publication date: 7 September 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2016.07.023

zbMATH Keywords

tumor growthantiproliferative therapyGompertz diffusion processPDX tumor model

Mathematics Subject Classification ID

Medical applications (general) (92C50) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

Inferring time non-homogeneous Ornstein Uhlenbeck type stochastic process ⋮ Inference on an heteroscedastic Gompertz tumor growth model ⋮ Hyperbolastic type-III diffusion process: obtaining from the generalized Weibull diffusion process

Uses Software

• fptdApprox
• pchip

Cites Work

• More general problems on first-passage times for diffusion processes: a new version of the fptdApprox R package
• A stochastic model related to the Richards-type growth curve. Estimation by means of simulated annealing and variable neighborhood search
• On a conjecture concerning population growth in random environment
• A diffusion process to model generalized von Bertalanffy growth patterns: fitting to real data
• A stochastic model in tumor growth
• Stochastic Gompertz model of tumour cell growth
• Inferring the effect of therapy on tumors showing stochastic Gompertzian growth
• Estimating and determining the effect of a therapy on tumor dynamics by means of a modified Gompertz diffusion process
• A new Gompertz-type diffusion process with application to random growth
• Monotone Piecewise Cubic Interpolation
• Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth
• A Stochastic Formulation of the Gompertzian Growth Model forin vitro Bactericidal Kinetics: Parameter Estimation and Extinction Probability

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