Erwan Hingant
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View article: Modeling compartmentalization within intracellular signaling pathway
Modeling compartmentalization within intracellular signaling pathway Open
We present a novel approach to modeling receptor-activated signaling pathways that take into account the compartmentalization of receptors and their effectors, both on the cell surface and in dynamic intracellular vesicles called endosomes…
View article: Some Remarks About the Well-Posedness of Lifshitz–Slyozov’s Equations with Nucleation Kinetics
Some Remarks About the Well-Posedness of Lifshitz–Slyozov’s Equations with Nucleation Kinetics Open
View article: Long-time asymptotics of the Lifshitz–Slyozov equation with nucleation
Long-time asymptotics of the Lifshitz–Slyozov equation with nucleation Open
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 approach degenerate states concentrated at zero size for suffi…
View article: Modeling compartmentalization within intracellular signaling pathway
Modeling compartmentalization within intracellular signaling pathway Open
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 plasma membrane and in dynamic intra-cellular vesicles called e…
View article: Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation
Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation Open
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 approach degenerate states concentrated at zero size for suffi…
View article: Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model Open
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 before a thermodynamically unfavorable nucleation occurs, lea…
View article: Quasi-stationary distribution and metastability for the stochastic\n Becker-D\\"oring model
Quasi-stationary distribution and metastability for the stochastic\n Becker-D\\"oring model Open
We study a stochastic version of the classical Becker-D\\"oring model, a\nwell-known kinetic model for cluster formation that predicts the existence of a\nlong-lived metastable state before a thermodynamically unfavorable nucleation\noccur…
View article: The Becker–Döring Process: Pathwise Convergence and Phase Transition Phenomena
The Becker–Döring Process: Pathwise Convergence and Phase Transition Phenomena Open
View article: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology Open
View article: Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments
Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments Open
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 include well-posedness, long-time behavior, convergence rate to…
View article: StoBeDo: Simulation of the Stochastic Becker-Döring Equations
StoBeDo: Simulation of the Stochastic Becker-Döring Equations Open
Simulation of the Stochastic Becker-Döring Equations
View article: Nucleation time in stochastic Becker-Doring model
Nucleation time in stochastic Becker-Doring model Open
International audience
View article: Stochastic coagulation-fragmentation models for the study of protein aggregation phenomena
Stochastic coagulation-fragmentation models for the study of protein aggregation phenomena Open
International audience
View article: Derivation and mathematical study of a sorption-coagulation equation
Derivation and mathematical study of a sorption-coagulation equation Open
This paper deals with the derivation and mathematical study of a new model of interactions between chemical polymers and metal ions. The equation describes the evolution of the distribution f (t, p, q) of all polymers at time t >= 0 in a g…
View article: Nucleation time in coagulation-fragmentation models
Nucleation time in coagulation-fragmentation models Open
National audience
View article: From Becker-Doring to Lifshitz-Slyozov: deriving the boundary condition
From Becker-Doring to Lifshitz-Slyozov: deriving the boundary condition Open
International audience
View article: From Becker-Döring to Lifshitz-Slyozov: deriving the non-local boundary condition of a non-linear transport equation
From Becker-Döring to Lifshitz-Slyozov: deriving the non-local boundary condition of a non-linear transport equation Open
\nWe investigate the connection between two classical models of phase transition phenomena, the (discrete size, Markov chain or infinite set of ODE) Becker-Döring equations and the (continuous size, PDE) Lifshitz-Slyozov equation. Contrary…