Biomedical subjects

Mikhail M Shvartsman

Publications and source records attributed to Mikhail M Shvartsman.

2 recordsLinked to original sources

PubMed2006

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

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.

Adenocarcinoma↗

PubMed2004

A stochastic model for prostate-specific antigen levels.

We introduce a continuous stochastic model for the prostate-specific antigen (PSA) levels following radiotherapy and derive solutions for the associated partial differential (Kolmogorov-Chapman) equation. The solutions describe the evolution of the time-dependent density for PSA levels which take into account an absorbing condition along the boundary and various initial conditions. We include implications for single-dose and multi-dose radiation treatment regimens and discuss parameter estimation and sensitivity issues.

Dose-Response Relationship, Radiation↗