Dynamic survival analysis
Project description
Dynamic Survival Analysis (DSA) combines classical dynamical systems theory with survival analysis. Given a dynamical system, often described in terms of mean-field ordinary/partial differential equations representing proportions/concentrations in a large population/volume, the DSA method interprets those differential equations as probabilistic quantities such as survival functions, density functions, cumulative hazards etc. This interpretation is very useful for parameter inference of the dynamical system based on standard survival analysis tools.
On the methodology side, the project will further develop the theory of dynamical survival analysis and study its statistical properties. There will be plenty of opportunity to employ the method to particular applications in epidemiology, systems biology.
Project published references
Francesco Di Lauro, Wasiur R. KhudaBukhsh, István Z. Kiss, Eben Kenah, Max Jensen, Grzegorz A. Rempała. Dynamic Survival Analysis for non-Markovian Epidemic Models. Royal Society Interface, 2022.
Wasiur R. KhudaBukhsh, Boseung Choi, Eben Kenah, and Grzegorz Rempała. Survival dynamical systems: individual-level survival analysis from population-level epidemic models. Interface Focus, 2019.
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