A stochastic model for prostate-specific antigen levels

DOI10.1016/j.mbs.2004.04.001zbMath1052.35144OpenAlexW1989174366WikidataQ47246290 ScholiaQ47246290MaRDI QIDQ1877147

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

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.04.001

zbMATH Keywords

Sensitivity analysisProstate cancerMethod of imagesExponential decayChapman-Kolmogorov partial differential equationContinuous stochastic modelDeterministic modelProstate-specific antigen (PSA)

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) General biostatistics (92B15) Reaction-diffusion equations (35K57) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (4)

A stochastic model for PSA levels: behavior of solutions and population statistics ⋮ Bifurcation analysis on a hybrid systems model of intermittent hormonal therapy for prostate cancer ⋮ An alternative approach to modelling relapse in cancer with an application to adenocarcinoma of the prostate ⋮ A stochastic approach to risk management for prostate cancer patients on active surveillance

Cites Work

• Prostate cancer: Progression of prostate-specific antigen after external beam irradiation
• The joint modeling of a longitudinal disease progression marker and the failure time process in the presence of cure
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