Articolo in rivista

The origins of causality violations in force-free simulations of black hole magnetospheres

Fluctuations and precise deviations of cumulative INAR time series

In this paper, we study fluctuations and precise deviations of cumulative INAR time series, both in a non-stationary and in a stationary regime. The theoretical results are based on the recent mod- convergence theory as presented in Féray et al., 2016. We apply our findings to the construction of…

Multiscale coupling of molecular dynamics and hydrodynamics: Application to DNA translocation through a nanopore

We present a multiscale approach to the modeling of polymer dynamics in the presence of a fluid solvent. The approach combines Langevin molecular dynamics ( MD) techniques with a mesoscopic lattice Boltzmann (LB) method for the solvent dynamics. A unique feature of the present approach is that…

Mechanistic modelling of drug release from multi-layer capsules

We propose a novel in silico model for computing drug release from multi-layer capsules. The diffusion problem in such heterogeneous layer-by-layer composite medium is described by a system of coupled partial differential equations, which we solve analytically using separation of variables. In…

Excised black-holes: the scattering problem in the time domain,

Viaggio nella turbolenza

Grazie alle simulazioni con i supercalcolatori, si cominciano a scoprire i meccanismi microscopici che governano il moto collettivo dei fluidi

Gene Regulatory Network Modeling of Macrophage Differentiation Corroborates the Continuum Hypothesis of Polarization States

Macrophages derived from monocyte precursors undergo specific polarization processes which are influenced by the local tissue environment: classically-activated (M1) macrophages, with a pro-inflammatory activity and a role of effector cells in Th1 cellular immune responses, and alternatively-…

Diffusive kinetic explicit schemes for nonlinear degenerate parabolic systems

We design numerical schemes for nonlinear degenerate parabolic systems with possibly dominant convection. These schemes are based on discrete BGK models where both characteristic velocities and the source-term depend singularly on the relaxation parameter. General stability conditions are derived,…

Mathematical and computational models in tumor immunology

Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting

This paper is concerned with diffusive approximations of some numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applications, including radiative transfer or neutron transport, run-and-tumble models of chemotaxis dynamics, and Vlasov-Fokker-…