Inference on a stochastic two-compartment model in tumor growth

DOI10.1016/j.csda.2011.10.016zbMath1243.62132OpenAlexW2057208168MaRDI QIDQ434947

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

Publication date: 16 July 2012

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2011.10.016

zbMATH Keywords

regressionGompertz diffusion processesML estimationproliferative cellsquiescent cells

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Medical applications (general) (92C50) Statistical tables (62Q05) Estimation in survival analysis and censored data (62N02)

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Cites Work

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• A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth
• Mathematical model creation for cancer chemo-immunotherapy
• A two-compartment model interacting with dynamic drugs
• Combining Gompertzian growth and cell population dynamics
• A stochastic model in tumor growth
• Inferring the effect of therapy on tumors showing stochastic Gompertzian growth
• Dynamic response of cancer under the influence of immunological activity and therapy
• Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

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