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Recently, we proposed an state model (compartment model) to describe the progression of a chronic disease with an pre-clinical (undiagnosed) state before clinical diagnosis. It is an open question, if a sequence of cross-sectional studies…

种群与进化 · 定量生物学 2015-11-24 Ralph Brinks

This article proposes an age-structured compartment model for irreversible diseases with a pre-clinical state of undiagnosed cases that precedes the diagnosis. The model is able to cope with mortality rates differing between the…

种群与进化 · 定量生物学 2014-11-11 Ralph Brinks

Recently, we have shown that the age-specific prevalence of a disease can be related to the transition rates in the illness-death model via a partial differential equation (PDE). In case of a chronic disease, we show that the PDE can be…

种群与进化 · 定量生物学 2017-12-29 Ralph Brinks

This article describes a method to estimate the mortality rate ratio R from current status data with duration in a chronic condition in case the general mortality of the overall population is known. Apart from the general mortality, the…

统计方法学 · 统计学 2022-10-21 Ralph Brinks

Investigations of infectious disease outbreaks often focus on identifying place- and context-dependent factors responsible for emergence and spread, resulting in phenomenological narratives ill-suited to developing generalizable predictive…

A widely-used model for determining the long-term health impacts of public health interventions, often called a "multistate lifetable", requires estimates of incidence, case fatality, and sometimes also remission rates, for multiple…

应用统计 · 统计学 2023-03-23 Christopher Jackson , Belen Zapata-Diomedi , James Woodcock

We use the illness-death model (IDM) for chronic conditions to derive a new analytical relation between the transition rates between the states of the IDM. The transition rates are the incidence rate (i) and the mortality rates of people…

统计方法学 · 统计学 2024-02-23 Maryam Saem , Ralph Brinks

Relevant events in a three state illness-death model (IDM) of a chronic disease are the diagnosis of the disease and death with or without the disease. In this article a simulation framework for populations moving in the IDM is presented.…

种群与进化 · 定量生物学 2013-01-01 Ralph Brinks

There is a growing proportion of people with several disease conditions ("multimorbidity"), placing increasing demands on healthcare systems. One hypothesis is that clusters of diseases may arise from shared underlying disease processes…

统计方法学 · 统计学 2025-08-15 Anthony J. Webster

This paper describes a time-series-based classification approach to identify similarities between bio-medical-based situations. The proposed approach allows classifying collections of time-series representing bio-medical measurements, i.e.,…

应用统计 · 统计学 2013-05-14 Uri Kartoun

Recently, it has been shown that the transition rates of the illness-death model (IDM) for chronic conditions are related to the percentages of people in the states by a three-dimensional system of differential equations [Bri24]. The aim of…

应用统计 · 统计学 2025-02-05 Ralph Brinks

Missing data are often dealt with multiple imputation. A crucial part of the multiple imputation process is selecting sensible models to generate plausible values for incomplete data. A method based on posterior predictive checking is…

统计计算 · 统计学 2026-05-14 Mingyang Cai , Stef van Buuren , Gerko Vink

The illness-death model of a chronic disease consists of the states 'Normal', 'Disease' and 'Death'. In general, the transition rates between the states depend on three time scales: calendar time, age and duration of the chronic disease.…

种群与进化 · 定量生物学 2013-08-30 Ralph Brinks

We propose and study a fully efficient method to estimate associations of an exposure with disease incidence when both, incident cases and prevalent cases, i.e. individuals who were diagnosed with the disease at some prior time point and…

统计方法学 · 统计学 2018-03-20 Marlena Maziarz , Yukun Liu , Jing Qin , Ruth Pfeiffer

Survival competing risks models are very useful for studying the incidence of diseases whose occurrence competes with other possible diseases or health conditions. These models perform properly when working with terminal events, such as…

应用统计 · 统计学 2021-04-09 Fran Llopis-Cardona , Carmen Armero , Gabriel Sanfélix-Gimeno

The stochastic system approach to causality is applied to situations where the risk of death is not negligible. This approach grounds causality on physical laws, distinguishes system and observation and represents the system by multivariate…

统计方法学 · 统计学 2016-10-07 Daniel Commenges

Intensity-based multistate models provide a useful framework for characterizing disease processes, the introduction of interventions, loss to follow-up, and other complications arising in the conduct of randomized trials studying complex…

统计方法学 · 统计学 2022-09-29 Alexandra Bühler , Richard J. Cook , Jerald F. Lawless

We study the relation between the age-specific prevalence, incidence and mortality in an illness-death model consisting of the three states Healthy, Ill, Dead. The dependency on three different time scales (age, calendar time, disease…

种群与进化 · 定量生物学 2016-06-28 Ralph Brinks

The illness-death model for chronic conditions is combined with a renewal equation for the number of newborns taking into account possibly different fertility rates in the healthy and diseased parts of the population. The resulting boundary…

种群与进化 · 定量生物学 2023-11-16 Ralph Brinks

Competing risks occur in survival analysis when multiple causes of death are present. They play a prominent role in several domains extending beyond biostatistics to encompass epidemiology, actuarial sciences, and reliability theory. This…

统计方法学 · 统计学 2026-04-30 Claudio Del Sole , Antonio Lijoi , Igor Prünster
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