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Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 1E. Hingant.

    Contributions à la modélisation mathématique et numérique de problèmes issus de la biologie - Applications aux Prions et à la maladie d'Alzheimer, Université Claude Bernard - Lyon I, September 2012.

    http://hal.inria.fr/tel-00763444
  • 2E. Terry.

    Modélisation mathématique des dynamiques de la réponse immunitaire T CD8, aux échelles cellulaire et moléculaire, Université Claude Bernard - Lyon I, October 2012.

    http://hal.inria.fr/tel-00763897
  • 3R. Yvinec.

    Modélisation probabiliste en biologie moléculaire et cellulaire, Université Claude Bernard - Lyon I, October 2012.

    http://hal.inria.fr/tel-00749633

Articles in International Peer-Reviewed Journals

  • 4M. Adimy, O. Angulo, J. C. Lopez-Marcos, M. A. Lopez-Marcos.

    Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics, in: International Journal of Computer Mathematics, 2013.

    http://hal.inria.fr/hal-00767161
  • 5M. Adimy, F. Crauste.

    Delay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling, in: Mathematical Modelling of Natural Phenomena, 2012, vol. 7, no 6, p. 1-22. [ DOI : 10.1051/mmnp/20127601 ]

    http://hal.inria.fr/hal-00766339
  • 6M. Adimy, K. Ezzinbi, C. Marquet.

    Center manifolds for some partial functional differential equations with infinite delay in fading memory spaces, in: Journal of Concrete and Applicable Mathematics, 2012, vol. 10, no 3-4, p. 168-185.

    http://hal.inria.fr/hal-00763166
  • 7M. Adimy, C. Marquet.

    On the stability of hematopoietic model with feedback control, in: Comptes Rendus Mathématique, February 2012, vol. 350, no 3-4, p. 173-176.

    http://hal.inria.fr/hal-00763154
  • 8O. Bergmann, J. Liebl, S. Bernard, K. Alkass, M. S. Y. Yeung, P. Steier, W. Kutschera, L. Johnson, M. Landén, H. Druid, K. L. Spalding, J. Frisén.

    The age of olfactory bulb neurons in humans., in: Neuron, May 2012, vol. 74, no 4, p. 634-9. [ DOI : 10.1016/j.neuron.2012.03.030 ]

    http://hal.inria.fr/hal-00755464
  • 9O. Bergmann, S. Zdunek, J. Frisén, S. Bernard, H. Druid, S. Jovinge.

    Cardiomyocyte renewal in humans., in: Circulation Research, January 2012, vol. 110, no 1, e17-8; author reply e19-21. [ DOI : 10.1161/CIRCRESAHA.111.259598 ]

    http://hal.inria.fr/hal-00755465
  • 10I. Ciuperca, E. Hingant, L. Palade, L. Pujo-Menjouet.

    Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation, in: Discrete and Continuous Dynamical Systems - Series B, May 2012, vol. 17, no 3, p. 775-799. [ DOI : 10.3934/dcdsb.2012.17.775 ]

    http://hal.inria.fr/hal-00653362
  • 11S. Fischer, P. Kurbatova, N. Bessonov, O. Gandrillon, V. Volpert, F. Crauste.

    Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage., in: Journal of Theoretical Biology, April 2012, vol. 298, p. 92-106. [ DOI : 10.1016/j.jtbi.2012.01.002 ]

    http://hal.inria.fr/hal-00709848
  • 12O. Gandrillon, D. Kolesnik-Antoine, J.-J. Kupiec, G. Beslon.

    Chance at the heart of the cell., in: Prog Biophys Mol Biol, May 2012, p. 1-4. [ DOI : 10.1016/j.pbiomolbio.2012.05.006 ]

    http://hal.inria.fr/hal-00720052
  • 13T. Lepoutre, M. Pierre, G. Rolland.

    Global well-posedness of a conservative relaxed cross diffusion system., in: SIAM Journal on Mathematical Analysis, 2012, vol. 44, no 3, p. 1674-1693.

    http://hal.inria.fr/hal-00683006
  • 14E. Terry, J. Marvel, C. Arpin, O. Gandrillon, F. Crauste.

    Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system., in: Journal of Mathematical Biology, August 2012, vol. 65, p. 263-291. [ DOI : 10.1007/s00285-011-0459-8 ]

    http://hal.inria.fr/hal-00649219
  • 15J. Viñuelas, G. Kaneko, A. Coulon, G. Beslon, O. Gandrillon.

    Towards experimental manipulation of stochasticity in gene expression., in: Prog Biophys Mol Biol, May 2012, p. 44-53. [ DOI : 10.1016/j.pbiomolbio.2012.04.010 ]

    http://hal.inria.fr/hal-00720054
  • 16V. Volpert, N. Apreutesei.

    Existence of travelling waves for a class of integro-differential equations from population dynamics, in: International Electronic Journal of Pure and Applied Mathematics, November 2012, vol. 5, no 2, p. 53-67.

    http://hal.inria.fr/hal-00753095
  • 17V. Volpert, N. Bessonov, N. Eymard, P. Kurbatova.

    Mathematical modelling of erythropoiesis in vivo with multiple erythroblastic islands., in: Applied Mathematics Letters, November 2012, p. 1217-1221. [ DOI : 10.1016/j.aml.2012.02.053 ]

    http://hal.inria.fr/hal-00753093
  • 18V. Volpert, N. El Khatib, S. Génieys, B. Kazmierczak.

    Reaction-Diffusion Model of Atherosclerosis Development., in: J. Math. Biol., November 2012, vol. 65, no 2, p. 349-374. [ DOI : 10.1007/s00285-011-0461-1 ]

    http://hal.inria.fr/hal-00753096
  • 19V. Volpert, P. Kurbatova, G. Panasenko.

    Asymptotic numerical analysis of the diffusion-discrete absorption equation., in: Math. Methods Appl. Sci., November 2012, vol. 35, no 4, p. 438-444. [ DOI : 10.1002/mma.1572 ]

    http://hal.inria.fr/hal-00753097
  • 20V. Volpert, N. K. Thakur.

    Propagation of Turing patterns in a plankton model., in: J. Biol. Dynamics, November 2012, p. 1-15. [ DOI : 10.1080/17513758.2012.655327 ]

    http://hal.inria.fr/hal-00753094
  • 21V. Volpert, A. Tokarev, G. Sirakov, G. Panasenko, E. Schnol, A. Butylin, F. Ataullakhanov.

    Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow., in: Russian Journal of Numerical Analysis and Mathematical Modelling, November 2012, vol. 27, no 2, p. 192-212. [ DOI : 10.1515/rnam-2012-0011 ]

    http://hal.inria.fr/hal-00753091
  • 22V. Volpert, A. Tosenberger, F. Ataullakhanov, N. Bessonov, M. A. Panteleev, A. Tokarev.

    Modelling of thrombus growth and growth stop in flow by the method of dissipative particle dynamics., in: Russian Journal of Numerical Analysis and Mathematical Modelling, November 2012, vol. 27, no 5, p. 507-522.

    http://hal.inria.fr/hal-00753089
  • 23V. Volpert, V. Vougalter.

    On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations., in: Discontinuity, Nonlinearity and Complexity, November 2012, p. 197-209.

    http://hal.inria.fr/hal-00753090
  • 24V. Volpert, V. Vougalter.

    On the solvability conditions for the diffusion equation with convection terms., in: Comm. Pure and Applied Analysis, November 2012, vol. 11, no 1, p. 365–373.

    http://hal.inria.fr/hal-00753098
  • 25V. Volpert, V. Vougalter.

    Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order., in: Math. Model. Nat. Phenom., November 2012, vol. 7, no 2, p. 146–154. [ DOI : 10.1051/mmnp/20127212 ]

    http://hal.inria.fr/hal-00753092
  • 26V. Volpert, V. Vougalter.

    Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems., in: Anal. Math. Phys., November 2012, p. 473-496. [ DOI : 10.1007/s13324-012-0046-1 ]

    http://hal.inria.fr/hal-00753099

Articles in National Peer-Reviewed Journals

  • 27S. Bernard.

    Né pour sentir [Born to smell]., in: médecine/sciences, November 2012, vol. 28, no 11, p. 937-9. [ DOI : 10.1051/medsci/20122811012 ]

    http://hal.inria.fr/hal-00767595

International Conferences with Proceedings

  • 28P.-N. Mougel, C. Rigotti, O. Gandrillon.

    Finding Collections of k-Clique Percolated Components in Attributed Graphs, in: Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD), Kuala Lumpur, Malaisie, LNCS, 2012, vol. 7302, p. 181–192.

    http://hal.inria.fr/hal-00758843
  • 29P.-N. Mougel, C. Rigotti, O. Gandrillon.

    Finding Collections of Protein Modules in Protein-Protein Interaction Networks, in: Bioinformatics and Computational Biology (BICoB), Las Vegas, États-Unis, 2012, p. 216-222.

    http://hal.inria.fr/hal-00758858
References in notes
  • 30M. 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, p. 1469-1491.
  • 31M. 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, p. 501-522.
  • 32R. Apostu, M. C. Mackey.

    Understanding cyclical thrombocytopenia: A mathematical modelling approach, in: Journal of Theoretical Biology, 2008, vol. 251, no 2, p. 297-316.
  • 33J. Belair, M. C. Mackey, J. Mahaffy.

    Age-structured and two-delay models for erythropoiesis, in: Mathematical Biosciences, 1995, vol. 128, no 1-2, p. 317-346.
  • 34S. 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, p. 283-298.
  • 35N. Bessonov, L. Pujo-Menjouet, V. Volpert.

    Cell modelling of hematopoiesis, in: Math. Model. Nat. Phenomena, 2006, vol. 1, no 2, p. 81-103.
  • 36A. Ducrot, V. Volpert.

    On a model of leukemia development with a spatial cell distribution, in: Math. Model. Nat. Phenomena, 2007, vol. 2, no 3, p. 101-120.
  • 37C. 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, p. 2629-2640.
  • 38M. C. Mackey.

    Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis, in: Blood, 1978, vol. 51, no 5, p. 941-956.
  • 39M. 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, p. 166-187.
  • 40F. Michor, T. Hughes, Y. Iwasa, S. Branford, N. Shah, C. Sawyers.

    Dynamics of chronic myeloid leukaemia, in: Nature, 2005, vol. 435, no 7046, p. 1267-1270.
  • 41B. Perthame.

    Transport Equations in Biology, Birkhauser Basel, 2006.
  • 42C. 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, p. 152-159.
  • 43G. Webb.

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


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