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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1M. 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, April 2013. [ DOI : 10.1080/00207160.2013.778400 ]

    http://hal.inria.fr/hal-00767161
  • 2M. Adimy, O. Angulo, C. Marquet, L. Sebaa.

    A mathematical model of multistage hematopoietic cell lineages, in: Discrete and Continuous Dynamical Systems - Series B, 2013.

    http://hal.inria.fr/hal-00846917
  • 3M. 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, 2013. [ DOI : 10.1007/s12190-013-0686-9 ]

    http://hal.inria.fr/hal-00846883
  • 4K. Alkass, H. Saitoh, B. A. Buchholz, S. Bernard, G. Holmlund, D. R. Senn, K. L. Spalding, H. Druid.

    Analysis of radiocarbon, stable isotopes and DNA in teeth to facilitate identification of unknown decedents, in: PLoS ONE, 2013, vol. 8, no 7. [ DOI : 10.1371/journal.pone.0069597 ]

    http://hal.inria.fr/hal-00867568
  • 5N. Apreutesei, V. Volpert.

    Reaction-diffusion waves with nonlinear boundary conditions, in: Networks and Heterogeneous Media, July 2013, vol. 8, no 1, pp. 23-35. [ DOI : 10.3934/nhm.2013.8.23 ]

    http://hal.inria.fr/hal-00846563
  • 6S. Bernard.

    How to Build a Multiscale Model in Biology, in: Acta Biotheoretica, September 2013, epub ahead of print. [ DOI : 10.1007/s10441-013-9199-z ]

    http://hal.inria.fr/hal-00867564
  • 7S. Martinez, T. Lepoutre.

    STEADY STATE ANALYSIS FOR A RELAXED CROSS DIFFUSION MODEL, in: Discrete and Continuous Dynamical Systems - Series A, August 2013, vol. 34, no 2, pp. 613-633. [ DOI : 10.3934/dcds.2014.34.613 ]

    http://hal.inria.fr/hal-00857467
  • 8P.-N. Mougel, C. Rigotti, M. Plantevit, O. Gandrillon.

    Finding maximal homogeneous clique sets, in: Knowledge and Information Systems, March 2013, vol. 35, no 1, pp. 1-30. [ DOI : 10.1007/s10115-013-0625-y ]

    http://hal.inria.fr/hal-00827164
  • 9M. Rydén, D. P. Andersson, S. Bernard, K. Spalding, P. Arner.

    Adipocyte triglyceride turnover and lipolysis in lean and overweight subjects, in: Journal of Lipid Research, October 2013, vol. 54, no 10, pp. 2909-13. [ DOI : 10.1194/jlr.M040345 ]

    http://hal.inria.fr/hal-00867570
  • 10K. L. Spalding, O. Bergmann, K. Alkass, S. Bernard, M. Salehpour, H. B. Huttner, E. Boström, I. Westerlund, C. Vial, B. A. Buchholz, G. Possnert, D. C. Mash, H. Druid, J. Frisén.

    Dynamics of hippocampal neurogenesis in adult humans, in: Cell, June 2013, vol. 153, no 6, pp. 1219-27. [ DOI : 10.1016/j.cell.2013.05.002 ]

    http://hal.inria.fr/hal-00839513
  • 11F. Thomas, D. Fisher, P. Fort, J.-P. Marie, S. Daoust, B. Roche, C. Grunau, C. Cosseau, G. Mitta, S. Baghdiguian, F. Rousset, P. Lassus, E. Assenat, D. Grégoire, D. Missé, A. Lorz, F. Billy, W. Vainchenker, F. Delhommeau, S. Koscielny, R. Itzykson, R. Tang, F. Fava, A. Ballesta, T. Lepoutre, L. Krasinska, V. Dulic, P. Raynaud, P. Blache, C. Quittau-Prévostel, E. Vignal, H. Trauchessec, B. Perthame, J. Clairambault, V. Volpert, E. Solary, U. Hibner, M. E. Hochberg.

    Applying ecological and evolutionary theory to cancer: a long and winding road, in: Evolutionary Applications, January 2013, vol. 6, no 1, pp. 1-10. [ DOI : 10.1111/eva.12021 ]

    http://hal.inria.fr/halsde-00790602
  • 12V. Volpert, N. Apreutesei, A. Tosenberger.

    Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions, in: Mathematical Modelling of Natural Phenomena, July 2013, vol. 8, no 4, pp. 2-17. [ DOI : 10.1051/mmnp/20138302 ]

    http://hal.inria.fr/hal-00846820
  • 13V. Volpert, N. Apreutesei.

    Properness and topological degree for nonlocal integro-differential systems, in: Topological Methods of Nonlinear Analysis, July 2013, in press.

    http://hal.inria.fr/hal-00846863
  • 14V. Volpert, N. Bessonov, V. Mironova.

    Deformable cell model and its application to growth of plant meristem, in: Mathematical Modelling of Natural Phenomena, July 2013, vol. 8, no 3, pp. 62-79. [ DOI : 10.1051/mmnp/20138405 ]

    http://hal.inria.fr/hal-00846821
  • 15V. Volpert, A. Ramm.

    Convergence of time dependent Turing structure to a stationary solution, in: Acta Applicandae Mathematicae, July 2013, vol. 123, no 1, pp. 31-42. [ DOI : 10.1007/s10440-012-9711-5 ]

    http://hal.inria.fr/hal-00846571
  • 16V. Volpert, V. Vougalter.

    Solvability in the sense of sequence for some non-Fredholm elliptic problems, in: Discontinuity, Nonlinearity and Complexity, July 2013, in press.

    http://hal.inria.fr/hal-00846862
  • 17V. Volpert, V. Vougalter.

    Solvability in the sense of sequences to some non-Fredholm operators, in: Electronic Journal of Differential Equations, July 2013, vol. 2013, no 160, pp. 1-16.

    http://hal.inria.fr/hal-00846784

Scientific Books (or Scientific Book chapters)

  • 18S. Bernard.

    Modélisation multi-échelles en biologie, in: Le vivant discret et continu, N. Glade, A. Stéphanou (editors), Science & Philosophie, Éditions Matériologiques, 2013, pp. 65-89.

    http://hal.inria.fr/hal-00920523
  • 19G. Bordyugov, P. O. Westermark, A. Korencic, S. Bernard, H. Herzel.

    Mathematical modeling in chronobiology, in: Circadian clocks, A. Kramer, M. Merrow (editors), Springer, 2013, pp. 335–357. [ DOI : 10.1007/978-3-642-25950-0_14 ]

    http://hal.inria.fr/hal-00839517
  • 20V. Volpert, N. Bessonov, P. Kurbatova.

    Pattern Formation in Hybrid Models of Cell Population, in: Pattern Formation in Morphogenesis, Springer Proceedings in Mathematics, Springer-Verlag, July 2013, pp. 107-119. [ DOI : 10.1007/978-3-642-20164-6_10 ]

    http://hal.inria.fr/hal-00846783
  • 21V. Volpert, N. Bessonov, A. Tosenberger, N. Eymard.

    Modele multi-echelle de la dynamique cellulaire, in: Le vivant discret et continu, Editions Materiologiques, July 2013, in press.

    http://hal.inria.fr/hal-00846865
  • 22V. Volpert, V. Vougalter.

    Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation, in: Dispersal, Individual Movement and Spatial Ecology, Lecture Notes in Mathematics, Springer-Verlag, July 2013, pp. 331-353. [ DOI : 10.1007/978-3-642-35497-7_12 ]

    http://hal.inria.fr/hal-00846559

Other Publications

  • 23K. Allali, F. Bikany, A. Taik, V. Volpert.

    Numerical Simulations of Heat ExplosionWith Convection In Porous Media, 2013.

    http://hal.inria.fr/hal-00859414
  • 24L. Desvillettes, T. Lepoutre, A. Moussa.

    Entropy, Duality and Cross Diffusion, 2013.

    http://hal.inria.fr/hal-00785379
  • 25S. Gaubert, T. Lepoutre.

    Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model, 2013, 30 pages.

    http://hal.inria.fr/hal-00773211
  • 26M. Helal, E. Hingant, L. Pujo-Menjouet, G. F. Webb.

    Alzheimer's disease: analysis of a mathematical model incorporating the role of prions, 2013, Correction of typo in the title (paper remains unchanged).

    http://hal.inria.fr/hal-00846137
References in notes
  • 27M. 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.
  • 28M. 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.
  • 29R. Apostu, M. C. Mackey.

    Understanding cyclical thrombocytopenia: A mathematical modelling approach, in: Journal of Theoretical Biology, 2008, vol. 251, no 2, pp. 297-316.
  • 30J. 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.
  • 31S. 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.
  • 32N. Bessonov, L. Pujo-Menjouet, V. Volpert.

    Cell modelling of hematopoiesis, in: Math. Model. Nat. Phenomena, 2006, vol. 1, no 2, pp. 81-103.
  • 33A. 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.
  • 34C. 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.
  • 35M. C. Mackey.

    Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis, in: Blood, 1978, vol. 51, no 5, pp. 941-956.
  • 36M. 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.
  • 37F. 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.
  • 38B. Perthame.

    Transport Equations in Biology, Birkhauser Basel, 2006.
  • 39C. 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.
  • 40G. Webb.

    Theory of Nonlinear Age-Dependent Population Dynamics, Marcel Dekker, 1985.