ArticleLifetime data analysis2018
Illness-death model: statistical perspective and differential equations.
Article in Lifetime data analysis, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
12 citing papers in PubMed.
- Assessing rheumatoid arthritis prevalence from 1990 to 2040: viewing global inequities through the lens of sociodemographic development.Clinical rheumatology · 2026Article
- Applying the illness-death model to estimate the incidence and remission of severe anxiety and depressive symptoms in the German National Cohort (NAKO).European psychiatry : the journal of the Association of European Psychiatrists · 2026Article
- Excess mortality of German men and women aged 60 years and older needing long-term care 2020-2024: data from a statutory health insurance comprising more than 3 million people.Frontiers in public health · 2026Article
- The global burden of inflammatory bowel disease: from 2025 to 2045.Nature reviews. Gastroenterology & hepatology · 2025Review
- Modeling the temporal prevalence peak drift of chronic diseases.BMC medical research methodology · 2025Article
- Assessing the Colorectal Cancer Landscape: A Comprehensive Exploration of Future Trends in 216 Countries and Territories from 2021 to 2040.Journal of epidemiology and global health · 2025Article
- Estimation of the transition rates in the illness-death model for chronic diseases from aggregated current status data: a feasibility and simulation study.Frontiers in epidemiology · 2025Article
- Article
- Lifetime prevalence of cancer in Germany between 2010 and 2019: An analysis based on aggregated data.PloS one · 2025Article
- Global Trend in Pancreatic Cancer Prevalence Rates Through 2040: An Illness-Death Modeling Study.Cancer medicine · 2024Article
- Projected number of people in need for long-term care in Germany until 2050.Frontiers in public health · 2024Article
- New ways of estimating excess mortality of chronic diseases from aggregated data: insights from the illness-death model.BMC public health · 2019Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
Abstract
The aim of this work is to relate the theory of stochastic processes with the differential equations associated with multistate (compartment) models. We show that the Kolmogorov Forward Differential Equations can be used to derive a relation between the prevalence and the transition rates in the illness-death model. Then, we prove mathematical well-definedness and epidemiological meaningfulness of the prevalence of the disease. As an application, we derive the incidence of diabetes from a series of cross-sections.
Indexed as
Identifiers
29374340What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.