PubMed Health⌕ Search
Home/Archive/PubMed

PubMed · 15868194

A stochastic model for a progressive chronic disease.

Thomas Nagylaki
View original source ↗Export metadata ↓

Abstract

For many progressive chronic diseases, there exist useful prognostic indicators for the course of the disease and the survival of the patient. The evolution of such an indicator is modelled as a monotone transformation of a pure birth process with killing. Explicit formulas are derived for the probability distribution of this process at an arbitrary time, the distribution of the first-passage times, the joint distribution of the survival time and the maximum of the process, and the marginals of this joint distribution. In two examples, the general formulas are evaluated in closed form.

Explore related subjects

Chronic DiseaseDisease ProgressionHumansModels, BiologicalStochastic ProcessesSurvival AnalysisJournal Article

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Thomas Nagylaki. 2005-05-02. A stochastic model for a progressive chronic disease.. https://doi.org/10.1007/s00285-005-0323-9

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related citations

PubMed2007

Iron regulation.

Explore the source record for details and available documents.

Chronic Disease↗
PubMed2007

The long-term effect of multidisciplinary back training: a systematic review.

STUDY DESIGN: Systematic review of randomized controlled trials. OBJECTIVES: To determine the long-term effect of multidisciplinary back training on the work participation of patients with nonspecific chronic low back pain. SUMMARY OF BACKGROUND DATA: Chronic low back pain is influenced by multiple factors. Multidisciplinary back training represents one of the options to take this multiplicity into account. So far, only evidence of the short-term effectiveness of this approach in terms of work participation is available. METHODS: Electronic databases were searched and the references of various articles were screened for relevant publications. Ten studies met the inclusion criteria. All included studies were evaluated for their methodologic quality. RESULTS: Five of the studies had a low methodologic quality. All high-quality studies found a positive effect on at least one of the 4 outcome measures used. Based on our criteria, effectiveness was found for the outcome measures of work participation and quality of life. No effectiveness was found for experienced pain and functional status. The intensity of the intervention seems to have no substantial influence on the effectiveness of the intervention. CONCLUSION: In the long-term, multidisciplinary back training has a positive effect on work participation in patients with nonspecific chronic low back pain.

Chronic Disease↗