Nowadays, Public Health is more and more interested in the neuro-degenerative chronic diseases related to the ageing such as Dementia or Parkinson’s disease. These pathologies cannot be prevented or cured and cause a progressive deterioration of health, requiring specific cares. The current demographic situation suggests a continuous ageing of the population and a rise of the life expectancy. As consequence of this, the economic, social and demographic burden related to these diseases will worsen in years to come. That is why, developing statistical models, which allow to make projections and to estimate the future burden of chronic diseases via several health indicators, is becoming of paramount importance. Furthermore, it would be interesting to give projections, according to hypothetical scenarios, which could be set up (e.g. a new treatment), to estimate the impact of such Public health intervention, but also to take into account modifications in disease incidence due, for example, to behavior changes. To attend this objective, an approach was proposed by Joly et al. 2013, using the illness-death model under Markovian hypothesis. Such approach has shown to be particularly adapted in this context, since it allows to consider the competive risk existing between the risk of death and the risk to develop the disease (for anon-diseased subject). On one hand, projections made by using this model take advantage of including national demographic projections to better consider the mortality trends over time. Moreover, the approach proposes to carefully model mortality, distinguishing overall mortality, non-diseased and diseased mortality trends. All the work of this thesis have been developed based on this model. In a first part, the hypotheses of the existing model are improved or modified in order to both :consider the evolution of disease incidence over time ; pass from a Markov to a semi-Markov hypothesis, which allows to model the mortality among diseased subjects depending on the time spent with the disease. In a second part, the initial method, allowing to take into account the impact of an intervention, but with many restrictive assumptions, is developed and generalized for more flexible interventions. Then, the mathematical/statistical expressions of relevant health indicators are developed in this context to have a panel of projections giving a better assessment of the future disease burden. The main application of this work concerns projections of Dementia. However, by applying these models to Parkinson’s disease, we propose methods which allows to adapt our approach to other types of data.

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   |texte=   Estimates and projections of health indicators for chronic diseases and impact of interventions
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