I am interested in partial differential equations and their application to modelling in biology. In particular, I study intracellular subdiffusive phenomena by the means of age-structured jump-renewal equations.
- H. Berry, T. Lepoutre, and Á. Mateos González Quantitative convergence towards a self similar profile in an age-structured renewal equation for subdiffusion
Keywords: age-structured PDE – renewal equation – anomalous diffusion – relative entropy estimates
- V. Calvez, P. Gabriel, and Á. Mateos González Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation
Keywords: age-structured PDE – renewal equation – anomalous diffusion – large deviations – WKB approximation – Hamilton-Jacobi equation
- H. Berry, V. Calvez, P. Gabriel, T. Lepoutre, and Á. Mateos González Subdiffusion: Self-Similar Profile and Large Deviations