Application of the chemical master equation and its analytical solution to the illness-death model
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913309882580992 |
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| author | Brinks, Ralph |
| author_facet | Brinks, Ralph |
| contents | The aim of this article is relating the chemical master equation (CME) to the illness-death model for chronic diseases. We show that a recently developed differential equation for the prevalence directly follows from the CME. As an application, we use the theory of the CME in a simulation study about diabetes in Germany from a previous publication. We find a good agreement between the theory and the simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07238 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Application of the chemical master equation and its analytical solution to the illness-death model Brinks, Ralph Biological Physics Populations and Evolution Methodology The aim of this article is relating the chemical master equation (CME) to the illness-death model for chronic diseases. We show that a recently developed differential equation for the prevalence directly follows from the CME. As an application, we use the theory of the CME in a simulation study about diabetes in Germany from a previous publication. We find a good agreement between the theory and the simulations. |
| title | Application of the chemical master equation and its analytical solution to the illness-death model |
| topic | Biological Physics Populations and Evolution Methodology |
| url | https://arxiv.org/abs/2404.07238 |