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20112023
most citedAlzheimer's disease: analysis of a mathematical model incorporating the role of prions

65 citations · 119 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.AP2023

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…

math.AP2023★ 1 cited

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…

math.AP2020★ 5 cited

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…

math.AP2016★ 11 cited

Quasi steady state approximation of the small clusters in Becker-Döring equations leads to boundary conditions in the Lifshitz-Slyozov limit

Julien Deschamps, Erwan Hingant, Romain Yvinec

This papers addresses the connection between two classical models of phase transition phenomena describing different stages of the growth of clusters. The Becker-Döring model (BD)…

math.AP2011★ 13 cited

Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation

Ionel Sorin Ciuperca, Erwan Hingant, Liviu Iulian Palade +1

The Greer, Pujo-Menjouet andWebb model [Greer et al., J. Theoret. Biol., 242 (2006), 598-606] for prion dynamics was found to be in good agreement with experimental observations un…