A stochastic model for PSA levels: behavior of solutions and population statistics
PSA (prostate-specific antigen), prostate cancer, continuous stochastic model, deterministic model, stochastic differential equation, Chapman–Kolmogorov equation, Fokker–Planck equation, exponential decay, moments, numerical analysis, maximum principle, radiotherapy
This paper investigates the partial differential equation for the evolving distribution of prostate-specific antigen (PSA) levels following radiotherapy. We also present results on the behavior of moments for the evolving distribution of PSA levels and estimate the probability of long-term treatment success and failure related to values of treatment and disease parameters. Results apply to a much wider range of parameter values than was considered in earlier studies, including parameter combinations that are patient specific.
Journal of Mathematical Biology