E. Hingant - Research

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List of works

Preprints of most the papers are disponible on arXiv.

Recents / Preprints
E. Hingant and R. Yvinec
Quasi-stationary distribution and metastability for the stochastic Becker-Döring proces
arxiv:2008.02544 (2020).
J. Calvo, E. Hingant and R. Yvinec
Initial-boundary value problem to the Lifshitz-Slyozov equation with non-smooth rates at the boundary
Nonlinearity 34 (2021), n. 4, 1975.
E. Hingant and R. Yvinec
The Becker-Döring process: pathwise convergence and phase transition
Journal of Statistical Physics 177 (2019), n. 3, 506-527.
Published articles
J. Deschamps, E. Hingant and R. Yvinec
Quasi steady state approximation of the small clusters in Becker-Döring equations leads to boundary conditions in the Lifshitz-Slyozov limit
Communications in Mathematical Sciences 15 (2017), no. 5, 1353-1384.
R. Yvinec, S. Bernard, E. Hingant and L. Pujo-Menjouet
First passage times in homogeneous nucleation: dependence on the total number of particles
Journal of Chemical Physics 144 (2016), no. 4, e034106.
E. Hingant and M. Sepúlveda
Derivation and mathematical study of a sorption-coagulation equation
Nonlinearity 28 (2015), no. 10, 3623-3661.
M. Helal, E. Hingant, L. Pujo-Menjouet and G. F. Webb
Alzheimer's disease: analysis of a mathematical model incorporating the role of prions
Journal of Mathematical Biology 69 (2014), no. 5, 1207-1235.
E. Hingant, P. Fontes, M. T. Alvarez-Martinez, J.-D. Arnaud, J.-P. Liautard and L. Pujo-Menjouet
A micellar on-pathway intermediate step explains the kinetics of prion amyloid formation
PLoS Computational Biology 10 (2014), e1003735.
I. S. Ciuperca, E. Hingant, L. I. Palade and L. Pujo-Menjouet
Fragmentation and monomers lengthening of rod-like polymers, a relevant model for prion proliferation
Discrete and Continuous Dynamical Systems Ser. B 17 (2012), no. 3, 775-799.
M. T. Alvarez-Martinez, P. Fontesb V. Zomosa-Signoret, J.-D. Arnaud, E. Hingant, L. Pujo-Menjouet and J.-P. Liautard
Dynamics of polymerization shed light on the mechanisms that lead to multiple amyloid structures of the prion protein
Biochimica et Biophysica Acta (BBA) - Proteins and Proteomics 1814 (2011), no. 10, 1305-1317.
Book chapter
E. Hingant and R. Yvinec
Deterministic and stochastic Becker-Döring equations: past and recent mathematical developments
In: Holcman D. (ed.) Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology (2017), Springer.
Proceedings / Actas
J. Deschamps, E. Hingant and R. Yvinec
From Becker-Döring to Lifshitz-Slyozov: deriving the non-local boundary condition of a non-linear transport equation
ITM Web of Conferences 5 (2015), 17. Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology, UPMC, Paris, March 16-17, 2015, V. Volpert and J. Clairambault (Eds.)
Reports / Unpublished notes / Others
StoBeDo v0.1 (2016). A program to simulate the stochastic Becker-Döring equations, written in python, with R. Yvinec, disponible on Github.
Boundary value for a nonlinear transport equation emerging from a stochastic coagulation-fragmentation type model, with J. Deschamps and R. Yvinec, preprint arXiv:1412.5025 (2015).
Contributions à la modélisation mathématiques et numériques de problèmes issus de la biologie: Applications aux prions et Alzheimer, manuscript of Ph.D. thesis in applied mathematics (2012), Université Claude Bernard Lyon 1, France.
A numerical scheme for rod-like polymers with fragmentation and monomers lengthening, Preprint hal-00653394 (2011), Chap. 6 of the Ph.D. thesis.
Modèle de cycle cellulaire à quatre phases et échange avec une population quiescente, Rapport de stage de M2 (2009), sous la direction de J. Clairambault.

Few links to (most recents) collaborators' webpage

Last update: April 2021