23 citations · 42 across the 25 of their papers we have counts for
5 papers · 1 filter
Simulation of Populations in a Time-, Age- and Duration Dependent Illness-Death Model
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…
On the age-, time- and migration dependent dynamics of diseases
Ralph Brinks
This paper generalizes a previously published differential equation that describes the relation between the age-specific incidence, remission, and mortality of a disease with its p…
On characteristics of an ordinary differential equation and a related inverse problem in epidemiology
Ralph Brinks
In this work we examine the properties of a recently described ordinary differential equation that relates the age-specific prevalence of a chronic disease with the incidence and m…
Fast Calculation of Calendar Time-, Age- and Duration Dependent Time at Risk in the Lexis Space
Ralph Brinks
In epidemiology, the person-years method is broadly used to estimate the incidence rates of health related events. This needs determination of time at risk stratified by period, ag…
A new stochastic differential equation modelling incidence and prevalence with an application to systemic lupus erythematosus in England and Wales, 1995
Ralph Brinks
This article reformulates a common illness-death model in terms of a new system of stochastical differential equations (SDEs). The SDEs are used to estimate epidemiological charact…