A stochastic model in tumor growth

Journal of Theoretical Biology
G Albano, V Giorno

Abstract

A stochastic model of solid tumor growth based on deterministic Gompertz law is presented. Tumor cells evolution is described by a one-dimensional diffusion process limited by two absorbing boundaries representing healing threshold and patient death (carrying capacity), respectively. Via a numerical approach the first exit time problem is analysed for the process inside the region restricted by the boundaries. The proposed model is also implemented to simulate the effects of a time-dependent therapy. Finally, some numerical results are obtained for the specific case of a parathyroid tumor.

References

Aug 28, 2003·Mathematical Biosciences·Frank Kozusko, Zeljko Bajzer
Mar 17, 2004·Journal of Theoretical Biology·Harold P de Vladar, Jorge A González

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Citations

Jan 9, 2010·Radiation and Environmental Biophysics·Hatim FakirRainer K Sachs
Aug 22, 2012·Journal of Theoretical Biology·Patricia Román-Román, Francisco Torres-Ruiz
Dec 7, 2011·Mathematical Biosciences·Giuseppina AlbanoFrancisco Torres-Ruiz
Feb 8, 2011·Journal of Theoretical Biology·Giuseppina AlbanoFrancisco Torres-Ruiz
Dec 19, 2009·Journal of Theoretical Biology·Patricia Román-RománFrancisco Torres-Ruiz
Sep 23, 2014·Journal of Theoretical Biology·Giuseppina AlbanoFrancisco Torres-Ruiz
Jul 1, 2011·Biometrics·Lorenzo TrippaPeter Müller
Jan 26, 2013·Mathematical Biosciences·Giuseppina AlbanoFrancisco Torres-Ruiz
Aug 28, 2009·Radiation Research·Hatim FakirRainer K Sachs
Oct 27, 2016·Mathematical Biosciences·Antonio Di Crescenzo, Serena Spina
Mar 14, 2018·IET Systems Biology·Ehsan ShakeriAmir Esmaeili Abharian
Jul 3, 2008·Clinical Cancer Research : an Official Journal of the American Association for Cancer Research·Lai-San ThamNicholas H G Holford
Jan 17, 2021·Journal of Theoretical Biology·Luigi PreziosiMattia Zanella
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Salvatore MandràMarco Gherardi

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