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An efficient kinetic model for assemblies of amyloid fibrils and its application to polyglutamine aggregation.

Stephanie Prigent , Annabelle Ballesta , Frédérique Charles , Natacha Lenuzza , Pierre Gabriel , et al.
PLoS ONE, 2012, 7 (11), pp.e43273. ⟨10.1371/journal.pone.0043273⟩
Article dans une revue hal-00778052v1
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A Hybrid Finite Volume Method for Advection Equations and Its Applications in Population Dynamics

Chang Yang , Léon Matar Tine
Numerical Methods for Partial Differential Equations, 2017, 33 (4), pp.1114 - 1142. ⟨10.1002/num.22134⟩
Article dans une revue hal-01646859v1
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High-order WENO scheme for Polymerization-type equations

Pierre Gabriel , Léon Matar Tine
ESAIM: Proceedings and Surveys, 2010, CEMRACS 2009: Mathematical Modelling in Medicine, 30, pp.53-69. ⟨10.1051/proc/2010006⟩
Article dans une revue hal-00455472v2

A generalized finite difference method for the 2-D nonlinear shallow water equations

Mansour Dia Ben , Ababacar Diagne , Leon Matar Tine
CARI'14 Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées., Oct 2014, Saint-Louis, Senegal
Communication dans un congrès hal-01104586v1
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Q-well-posedness of an Aβ-protein polymerization model

Cheikh Gueye , Sorin I Ciuperca , Laurent Pujo-Menjouet , Léon Matar TINE
Mathematical Modelling of Natural Phenomena, 2023, ⟨10.1051/mmnp/⟩
Article dans une revue hal-04381804v1
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Stability analysis of a steady state of a model describing Alzheimer’s disease and interactions with prion proteins

Mohammed Helal , Angélique Igel-Egalon , Abdelkader Lakmeche , Pauline Mazzocco , Angélique Perrillat-Mercerot , et al.
Journal of Mathematical Biology, 2019, 78 (1-2), pp.57-81. ⟨10.1007/s00285-018-1267-1⟩
Article dans une revue hal-01946610v1
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Analysis and numerical simulation of a polymerization model with aggregation and Ostwald ripening for the growth phenomenon

Léon Matar Tine , Babacar Lèye
Acta Applicandae Mathematicae, 2018, pp.1-28. ⟨10.1007/s10440-018-0222-x⟩
Article dans une revue hal-01933553v1

Alzheimer Disease: Convergence Result from a Discrete Model Towards a Continuous One

Mathieu Caléro , Ionel Sorin Ciuperca , Laurent Pujo-Menjouet , Léon Matar Tine
Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, Springer, pp.397-431, 2019, 978-3-030-23432-4. ⟨10.1007/978-3-030-23433-1_25⟩
Chapitre d'ouvrage hal-02414726v1

Analysis and Numerical Simulations of a Reaction-Diffusion Model with Fixed Active Bodies

Chang Yang , Léon Matar Tine
SIAM Journal on Applied Mathematics, 2021, 81 (4), pp.1339-1360. ⟨10.1137/20M1343385⟩
Article dans une revue hal-03534435v1

Longtime behavior of a second order finite element scheme simulating the kinematic effects in liquid crystal dynamics

Mouhamadou Samsidy Goudiaby , Ababacar Diagne , Léon Matar Tine
Communications on Pure and Applied Analysis, 2021, 20 (10), pp.1-16. ⟨10.3934/cpaa.2021116⟩
Article dans une revue hal-03534380v1
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Inverse problem for cell division rate in population dynamics

Léon Matar Tine
Workshop on Mathematics for Life Sciences (WMLS 2014), Sep 2014, Sidi Bel-Abbes, Algeria. pp.10, ⟨10.1051/itmconf/20150401003⟩
Communication dans un congrès hal-01253536v1