Bibliography
Publications of the year
Doctoral Dissertations and Habilitation Theses
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1F. Crauste.
Delay Equations and Models of Cell population Dynamics, Université Claude Bernard Lyon 1, December 2014, Habilitation à diriger des recherches.
https://hal.inria.fr/tel-01092352 -
2A. Tosenberger.
Blood flow modelling and applications to blood coagulation and atherosclerosis, Université Claude Bernard - Lyon 1 Institut Camille Jordan - CNRS UMR 5208, February 2014.
https://tel.archives-ouvertes.fr/tel-01101607
Articles in International Peer-Reviewed Journals
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3M. Adimy, M. Alia, K. Ezzinbi.
Functional differential equations with unbounded delay in extrapolation spaces, in: Electronic Journal of Differential Equations, 2014, vol. 2014, pp. 1 - 16.
https://hal.inria.fr/hal-01096950 -
4M. Adimy, O. Angulo, J. C. López-Marcos, M. A. López-Marcos.
Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics, in: International Journal of Computer Mathematics, 2014, vol. 91, no 2, 11 p. [ DOI : 10.1080/00207160.2013.778400 ]
https://hal.inria.fr/hal-00767161 -
5M. Adimy, O. Angulo, C. Marquet, L. Sebaa.
A mathematical model of multistage hematopoietic cell lineages, in: Discrete and Continuous Dynamical Systems - Series B, 2014, vol. 19, no 1, 26 p. [ DOI : 10.3934/dcdsb.2014.19.1 ]
https://hal.archives-ouvertes.fr/hal-00993751 -
6M. Adimy, K. Ezzinbi, C. Marquet.
Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces, in: Journal of Applied Mathematics and Computing, 2014, vol. 44, no 1-2, 19 p. [ DOI : 10.1007/s12190-013-0686-9 ]
https://hal.inria.fr/hal-00846883 -
7N. Apreutesei, V. Volpert.
Properness and topological degree for nonlocal integro-differential systems , in: Topological Methods in Nonlinear Analysis, 2014, vol. 43, no 1, pp. 215-229.
https://hal.inria.fr/hal-01096780 -
8N. Bessonov, R. Natalia, V. Volpert.
Mathematics of Darwin’s Diagram , in: Mathematical Modelling of Natural Phenomena, 2014, vol. 9, no 3, pp. 5-25.
https://hal.inria.fr/hal-01097152 -
9F. Billy, J. Clairambault, O. Fercoq, S. Gaubert, T. Lepoutre, T. Ouillon, S. Saito.
Synchronisation and control of proliferation in cycling cell population models with age structure, in: Mathematics and Computers in Simulation, February 2014, vol. 96, pp. 66-94, 46 pages. [ DOI : 10.1016/j.matcom.2012.03.005 ]
https://hal.archives-ouvertes.fr/hal-00662885 -
10L. Desvillettes, T. Lepoutre, A. Moussa.
Entropy, Duality and Cross Diffusion, in: SIAM Journal on Mathematical Analysis, 2014, vol. 46, no 1.
https://hal.inria.fr/hal-00785379 -
11R. El Cheikh, S. Bernard, N. El Khatib.
Modeling circadian clock-cell cycle interaction effects on cell population growth rates, in: Journal of Theoretical Biology, August 2014, vol. 363, pp. 318–331, forthcoming. [ DOI : 10.1016/j.jtbi.2014.08.008 ]
https://hal.archives-ouvertes.fr/hal-01055081 -
12A. Ernst, K. Alkass, S. Bernard, M. Salehpour, S. Perl, J. Tisdale, G. Possnert, H. Druid, J. Frisén.
Neurogenesis in the Striatum of the Adult Human Brain, in: Cell, February 2014, epub ahead of print, forthcoming. [ DOI : 10.1016/j.cell.2014.01.044 ]
https://hal.inria.fr/hal-00952021 -
13N. Eymard, N. Bessonov, O. Gandrillon, K. Mark, V. Volpert.
The role of spatial organization of cells in erythropoiesis, in: Journal of Mathematical Biology, 2014, pp. 1-29.
https://hal.inria.fr/hal-01096794 -
14S. Fischer, S. Bernard, G. Beslon, C. Knibbe.
A Model for Genome Size Evolution, in: Bulletin of Mathematical Biology, 2014, vol. 76, no 9, pp. 2249 - 2291. [ DOI : 10.1007/s11538-014-9997-8 ]
https://hal.archives-ouvertes.fr/hal-01090984 -
15M. Helal, E. Hingant, L. Pujo-Menjouet, G. F. Webb.
Alzheimer's disease: analysis of a mathematical model incorporating the role of prions, in: Journal of Mathematical Biology, 2014, vol. 69, no 5, pp. 1207-1235, Correction of typo in the title (paper remains unchanged). [ DOI : 10.1007/s00285-013-0732-0 ]
https://hal.archives-ouvertes.fr/hal-00846137 -
16E. Hingant, P. Fontes, M.-T. Alvarez-Martinez, J.-D. Arnaud, J.-P. Liautard, L. Pujo-Menjouet.
A Micellar On-Pathway Intermediate Step Explains the Kinetics of Prion Amyloid Formation, in: PLoS Computational Biology, August 2014, vol. 10, no 8, e1003735. [ DOI : 10.1371/journal.pcbi.1003735 ]
https://hal.archives-ouvertes.fr/hal-01104265 -
17H. B. Huttner, O. Bergmann, M. Salehpour, A. Rácz, J. Tatarishvili, E. Lindgren, T. Csonka, L. Csiba, T. Hortobágyi, G. Méhes, E. Englund, B. W. Solnestam, S. Zdunek, C. Scharenberg, L. Ström, P. Ståhl, B. Sigurgeirsson, A. Dahl, S. Schwab, G. Possnert, S. Bernard, Z. Kokaia, O. Lindvall, J. Lundeberg, J. Frisén.
The age and genomic integrity of neurons after cortical stroke in humans, in: Nature Neuroscience, May 2014, pp. 801-3.
https://hal.archives-ouvertes.fr/hal-01092159 -
18M. Jacquier, F. Crauste, C. O. Soulage, H. A. Soula.
A predictive model of the dynamics of body weight and food intake in rats submitted to caloric restrictions, in: PLoS ONE, 2014, vol. 9, no 6, e100073. [ DOI : 10.1371/journal.pone.0100073 ]
https://hal.inria.fr/hal-01017357 -
19T. Lepoutre, N. Meunier, N. Muller.
Cell polarisation model : the 1D case, in: Journal des Mathematiques Pures et Appliquees, February 2014, vol. 101, no 2, pp. 152–171, 25 pages. [ DOI : 10.1016/j.matpur.2013.05.006 ]
https://hal.archives-ouvertes.fr/hal-00776613 -
20P. Nony, P. Kurbatova, A. Bajard, S. Malik, C. Castellan, S. Chabaud, V. Volpert, N. Eymard, B. Kassai, C. Cornu.
A methodological framework for drug development in rare diseases , in: Orphanet Journal of Rare Diseases, 2014, vol. 9, no 164, pp. 1-10.
https://hal.inria.fr/hal-01097224 -
21S. Prokopiou, L. Barbarroux, S. Bernard, J. Mafille, Y. Leverrier, C. Arpin, J. Marvel, O. Gandrillon, F. Crauste.
Multiscale Modeling of the Early CD8 T-Cell Immune Response in Lymph Nodes: An Integrative Study, in: Computation, September 2014, vol. 2, no 4, pp. 159-181. [ DOI : 10.3390/computation2040159 ]
https://hal.inria.fr/hal-01074736 -
22V. Volpert.
Branching and aggregation in self-reproducing systems, in: ESAIM: Proceedings, 2014, vol. 47, pp. 116-129. [ DOI : 10.1051/proc/201447007 ]
https://hal.inria.fr/hal-01098162 -
23V. Volpert, V. Vougalter.
Existence of stationary pulses for nonlocal reaction-diffusion equations , in: Documenta Mathematica, 2014, vol. 19, pp. 1141-1153.
https://hal.inria.fr/hal-01097153 -
24V. Volpert, V. Vougalter.
Solvability conditions for some non Fredholm operators in a layer in four dimensions , in: Discontinuity, Nonlinearity and Complexity, 2014, vol. 3, no 1, pp. 59-71.
https://hal.inria.fr/hal-01096774 -
25V. Vougalter, V. Volpert.
On the solvability in the sense of sequences for some non-Fredholm operators , in: Dynamics of Partial Differential Equations, 2014, vol. 11, no 2, pp. 109-124.
https://hal.inria.fr/hal-01096776 -
26V. Vougalter, V. Volpert.
Solvability Relations For Some Diffusion Equations With Convection Terms , in: Discontinuity, Nonlinearity and Complexity, 2014, vol. 3, no 4, pp. 457-465.
https://hal.inria.fr/hal-01097219 -
27M. S. Y. Yeung, S. Zdunek, O. Bergmann, S. Bernard, M. Salehpour, K. Alkass, S. Perl, J. Tisdale, G. Possnert, L. Brundin, H. Druid, J. Frisén.
Dynamics of oligodendrocyte generation and myelination in the human brain, in: Biocell, November 2014, pp. 766-74.
https://hal.archives-ouvertes.fr/hal-01092151
Scientific Books (or Scientific Book chapters)
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28A generalized finite difference method for the 2-D nonlinear shallow water equations, CARI 2014 Proceedings, September 2014.
https://hal.archives-ouvertes.fr/hal-01104586 -
29V. Volpert.
Elliptic Partial Differential Equations Volume 2: Reaction-Diffusion Equations , Birkhauser, 2014.
https://hal.inria.fr/hal-01097226
Scientific Popularization
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30L. Pujo-Menjouet.
Theory of Turing pattern formation explained to biologists or how to enlighten two ingenious intuitions, in: Modéliser & simuler - Epistémologies et pratiques de la modélisation et de la simulation - Tome 2, Modélisations, simulations, systèmes complexes, Éditions Matériologiques, November 2014, vol. 2, 525 p.
https://hal.archives-ouvertes.fr/hal-01102076
Other Publications
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31S. Bernard, F. Crauste.
Optimal linear stability condition for scalar differential equations with distributed delay, April 2014.
https://hal.archives-ouvertes.fr/hal-00997528 -
32L. Desvillettes, T. Lepoutre, A. Moussa, A. Trescases.
On the entropic structure of reaction-cross diffusion systems, October 2014.
https://hal.archives-ouvertes.fr/hal-01078175
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33M. Adimy, S. Bernard, J. Clairambault, F. Crauste, S. Génieys, L. Pujo-Menjouet.
Modélisation de la dynamique de l'hématopoïèse normale et pathologique, in: Hématologie, 2008, vol. 14, no 5, pp. 339-350.
https://hal.inria.fr/hal-00750278 -
34M. Adimy, F. Crauste.
Global stability of a partial differential equation with distributed delay due to cellular replication, in: Nonlinear Analysis, 2003, vol. 54, no 8, pp. 1469-1491. -
35M. Adimy, F. Crauste, L. Pujo-Menjouet.
On the stability of a maturity structured model of cellular proliferation, in: Discrete Contin. Dyn. Syst. Ser. A, 2005, vol. 12, no 3, pp. 501-522. -
36R. Apostu, M. C. Mackey.
Understanding cyclical thrombocytopenia: A mathematical modelling approach, in: Journal of Theoretical Biology, 2008, vol. 251, no 2, pp. 297-316. -
37J. Belair, M. C. Mackey, J. Mahaffy.
Age-structured and two-delay models for erythropoiesis, in: Mathematical Biosciences, 1995, vol. 128, no 1-2, pp. 317-346. -
38S. Bernard, J. Belair, M. C. Mackey.
Oscillations in cyclical neutropenia: new evidence based on mathematical modelling, in: J. Theor. Biol., 2003, vol. 223, no 3, pp. 283-298. -
39N. Bessonov, L. Pujo-Menjouet, V. Volpert.
Cell modelling of hematopoiesis, in: Math. Model. Nat. Phenomena, 2006, vol. 1, no 2, pp. 81-103. -
40A. Ducrot, V. Volpert.
On a model of leukemia development with a spatial cell distribution, in: Math. Model. Nat. Phenomena, 2007, vol. 2, no 3, pp. 101-120. -
41C. Haurie, D. Dale, M. C. Mackey.
Cyclical Neutropenia and Other Periodic Hematological Disorders: A Review of Mechanisms and Mathematical Models, in: Blood, 1998, vol. 92, no 8, pp. 2629-2640. -
42M. C. Mackey.
Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis, in: Blood, 1978, vol. 51, no 5, pp. 941-956. -
43M. C. Mackey, C. Ou, L. Pujo-Menjouet, J. Wu.
Periodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia, in: SIAM Journal on Mathematical Analysis, 2006, vol. 38, no 1, pp. 166-187. -
44F. Michor, T. Hughes, Y. Iwasa, S. Branford, N. Shah, C. Sawyers.
Dynamics of chronic myeloid leukaemia, in: Nature, 2005, vol. 435, no 7046, pp. 1267-1270. -
45B. Perthame.
Transport Equations in Biology, Birkhauser Basel, 2006. -
46C. Rubiolo, D. Piazzolla, K. Meissl, H. Beug, J. Huber, A. Kolbus.
A balance between Raf-1 and Fas expression sets the pace of erythroid differentiation, in: Blood, 2006, vol. 108, no 1, pp. 152-159. -
47G. Webb.
Theory of Nonlinear Age-Dependent Population Dynamics, Marcel Dekker, 1985.