An alternative approach to modelling relapse in cancer with an application to adenocarcinoma of the prostate

DOI10.1016/j.mbs.2005.10.002zbMath1088.60083OpenAlexW2042820784WikidataQ51957878 ScholiaQ51957878MaRDI QIDQ2488639

Dirk Veestraeten

Publication date: 11 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2005.10.002

zbMATH Keywords

stochastic differential equationselastic boundaryprostate cancerreflecting boundaryPSAconditional probability density functionabsorbing boundaryprostate-specific antigen

Mathematics Subject Classification ID

General biostatistics (92B15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Transition functions, generators and resolvents (60J35) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (5)

A stochastic model for PSA levels: behavior of solutions and population statistics ⋮ Telegraph process with elastic boundary at the origin ⋮ Some results on the telegraph process confined by two non-standard boundaries ⋮ Bifurcation analysis on a hybrid systems model of intermittent hormonal therapy for prostate cancer ⋮ A stochastic approach to risk management for prostate cancer patients on active surveillance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mathematical model of the effects of drug resistance in cancer chemotherapy
• A model for the resistance of tumor cells to cancer chemotherapeutic agents
• The Fokker-Planck equation. Methods of solution and applications.
• A mathematical model of prostate tumor growth and androgen-independent relapse
• Prostate cancer: Progression of prostate-specific antigen after external beam irradiation
• A stochastic model for prostate-specific antigen levels
• A mathematical model of cancer treatment by immunotherapy
• The parabolic differential equations and the associated semigroups of transformation
• Pricing Options With Curved Boundaries¹
• Moments of the first-passage time of a Wiener process with drift between two elastic barriers
• First passage time distribution of a Wiener process with drift concerning two elastic barriers
• Diffusion Processes in One Dimension
• Handbook of stochastic methods for physics, chemistry and natural sciences.

This page was built for publication: An alternative approach to modelling relapse in cancer with an application to adenocarcinoma of the prostate