65 citations · 119 across the 12 of their papers we have counts for
12 papers
Modeling compartmentalization within intracellular signaling pathway
Claire Alamichel, Juan Calvo, Erwan Hingant +3
We present a new modeling approach for G protein coupled receptors signaling systems, that take into account the compartmentalization of receptors and their effectors, both at plas…
Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation
Juan Calvo, Erwan Hingant, Romain Yvinec
We consider the Lifshitz-Slyozov model with inflow boundary conditions of nucleation type. We show that for a collection of representative rate functions the size distributions app…
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
Erwan Hingant, Romain Yvinec
We study a stochastic version of the classical Becker-Döring model, a well-known kinetic model for cluster formation that predicts the existence of a long-lived metastable state be…
The Initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary
Juan Calvo, Erwan Hingant, Romain Yvinec
We prove existence and uniqueness of solutions to the initial-boundary value problem for the Lifshitz--Slyozov equation (a nonlinear transport equation on the half-line), focusing…
The Becker-Döring process: pathwise convergence and phase transition phenomena
Erwan Hingant, Romain Yvinec
In this note, we study an infinite reaction network called the stochastic Becker-Döring process, a sub-class of the general coagulation-fragmentation models. We prove pathwise conv…
Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments
Erwan Hingant, Romain Yvinec
We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-Döring equations. For both the deterministic and stochastic versions, we incl…