A stochastic model for PSA levels: behavior of solutions and population statistics

DOI10.1007/s00285-006-0016-zzbMath1099.92030OpenAlexW2069773517WikidataQ51938035 ScholiaQ51938035MaRDI QIDQ2433027

Mikhail M. Shvartsman, Pavel Bělík, P. W. A. Dayananda, John T. Kemper

Publication date: 27 October 2006

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

Full work available at URL: https://doi.org/10.1007/s00285-006-0016-z

zbMATH Keywords

momentsmaximum principlestochastic differential equationFokker-Planck equationexponential decayradiotherapynumerical analysisprostate cancerdeterministic modelChapman-Kolmogorov equationcontinuous stochastic modelPSA (prostate-specific antigen)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Initial value problems for second-order parabolic equations (35K15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (1)

A stochastic approach to risk management for prostate cancer patients on active surveillance

Cites Work

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• A mathematical model of prostate tumor growth and androgen-independent relapse
• The Fokker-Planck equation. Methods of solutions and applications.
• Prostate cancer: Progression of prostate-specific antigen after external beam irradiation
• A stochastic model for prostate-specific antigen levels
• The theory of stochastic processes. I. Translated from the Russian by S. Kotz.
• The theory of stochastic processes. II: Translated from the Russian by S. Kotz
• An alternative approach to modelling relapse in cancer with an application to adenocarcinoma of the prostate
• Cancer self remission and tumor stability -- a stochastic approach
• Symmetry Properties and Exact Solutions of the Fokker-Planck Equation
• The joint modeling of a longitudinal disease progression marker and the failure time process in the presence of cure

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