Bibliography

Articles in International Peer-Reviewed Journal

• 1M. Adimy, K. Ezzinbi, M. Alia.
  
  Extrapolation Spaces and Partial Neutral Functional Differential Equations with infinite delay, in: Differential and integral equations, 2011.
  
  http://hal.inria.fr/inria-00554435/en
• 2M.-T. Alvarez-Martinez, P. Fontes, V. Zomosa-Signoret, J.-D. Arnaud, E. Hingant, L. Pujo-Menjouet, J.-P. Liautard.
  
  Dynamics of polymerization shed light on the mechanisms that lead to multiple amyloid structures of the prion protein, in: BBA - Biochimica et Biophysica Acta, October 2011, vol. 1814, n^o 10, p. 1305-17. [ DOI : 10.1016/j.bbapap.2011.05.016 ]
  
  http://hal.inria.fr/hal-00653368/en
• 3N. Apreutesei, V. Volpert.
  
  Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators, in: Abstract and Applied Analysis, December 2011, ID 629692 p.
  
  http://hal.inria.fr/hal-00653656/en
• 4P. Arner, S. Bernard, M. Salehpour, G. Possnert, J. Liebl, P. Steier, B. A. Buchholz, M. Eriksson, E. Arner, H. Hauner, T. Skurk, M. Rydén, K. N. Frayn, K. L. Spalding.
  
  Dynamics of human adipose lipid turnover in health and metabolic disease, in: Nature, October 2011, vol. 478, n^o 7367, p. 110-3. [ DOI : 10.1038/nature10426 ]
  
  http://hal.inria.fr/hal-00649210/en
• 5O. Bergmann, S. Zdunek, K. Alkass, H. Druid, S. Bernard, J. Frisén.
  
  Identification of cardiomyocyte nuclei and assessment of ploidy for the analysis of cell turnover, in: Experimental Cell Research, January 2011, vol. 317, n^o 2, p. 188-94. [ DOI : 10.1016/j.yexcr.2010.08.017 ]
  
  http://hal.inria.fr/hal-00542527/en
• 6N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert.
  
  Application of Hybrid Models to Blood Cell Production in the Bone Marrow, in: Math. Model. Nat. Phenom., 2011, vol. 6, n^o 7, p. 2-12.
  
  http://hal.inria.fr/hal-00649217/en
• 7N. Bessonov, F. Crauste, V. Volpert.
  
  Modelling of Plant Growth with Apical or Basal Meristem, in: Math. Model. Nat. Phenom., 2011, vol. 6, n^o 2, p. 107-132.
  
  http://hal.inria.fr/hal-00649218/en
• 8N. Bessonov, V. Volpert.
  
  Computational Algorithm for Some Problems with Variable Geometrical Structure, in: Lecture notes in computer science, December 2011, vol. 6260/2011, p. 87-102. [ DOI : 10.1007/978-3-642-16236-7_6 ]
  
  http://hal.inria.fr/hal-00653652/en
• 9A. Chauhan, S. Lorenzen, H. Herzel, S. Bernard.
  
  Regulation of mammalian cell cycle progression in the regenerating liver, in: Journal of Theoretical Biology, August 2011, vol. 283, n^o 1, p. 103-12. [ DOI : 10.1016/j.jtbi.2011.05.026 ]
  
  http://hal.inria.fr/hal-00649211/en
• 10A. Ducrot, M. Marion, V. Volpert.
  
  Spectrum of some integro-differential operators and stability of travelling waves, in: Nonlinear Analysis: Theory, Methods and Applications, December 2011, vol. 74, n^o 13, p. 4455-4473. [ DOI : 10.1016/j.na.2011.04.009 ]
  
  http://hal.inria.fr/hal-00653653/en
• 11C. Mejia-Pous, F. Damiola, O. Gandrillon.
  
  Cholesterol synthesis-related enzyme oxidosqualene cyclase is required to maintain self-renewal in primary erythroid progenitors, in: Cell Proliferation, October 2011, vol. 44, n^o 5, p. 441-52. [ DOI : 10.1111/j.1365-2184.2011.00771.x ]
  
  http://hal.inria.fr/hal-00652350/en
• 12E. 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 2011. [ DOI : 10.1007/s00285-011-0459-8 ]
  
  http://hal.inria.fr/hal-00649219/en
• 13A. Tosenberger, V. Salnikov, N. Bessonov, E. Babushkina, V. Volpert.
  
  Particle Dynamics Methods of Blood Flow Simulations,, in: Mathematical Modelling of Natural Phenomena, December 2011, vol. 6, n^o 5, p. 320-332. [ DOI : 10.1051/mmnp/20116512 ]
  
  http://hal.inria.fr/hal-00653688/en
• 14V. Vougalter, V. Volpert.
  
  On the existence of stationary solutions for some non-Fredholm integro-differential equations, in: Documenta Mathematica, December 2011, vol. 16, p. 561-580.
  
  http://hal.inria.fr/hal-00653648/en
• 15V. Vougalter, V. Volpert.
  
  Solvability conditions for some non-Fredholm operators, in: Proceedings of the Edinburgh Mathematical Society, December 2011, vol. 54, n^o 1, p. 249-271. [ DOI : 10.1017/S0013091509000236 ]
  
  http://hal.inria.fr/hal-00653658/en

Scientific Books (or Scientific Book chapters)

• 16V. Volpert.
  
  Elliptic Partial Differential Equations. Volume I. Fredholm theory of elliptic problems in unbounded domains, birkhauser, December 2011.
  
  http://hal.inria.fr/hal-00653777/en

Other Publications

• 17S. Fischer, P. Kurbatova, N. Bessonov, O. Gandrillon, V. Volpert, F. Crauste.
  
  Modelling Erythroblastic Islands: Using a Hybrid Model to Assess the Function of Central Macrophage, 2011.
  
  http://hal.inria.fr/hal-00596682/en
• 18R. Yvinec, A. F. Ramos.
  
  On the bursting of gene products, 2011, 13 pages.
  
  http://hal.inria.fr/hal-00651588/en

• 19M. Adimy, F. Crauste.
  
  Global stability of a partial differential equation with distributed delay due to cellular replication, in: Nonlinear Analysis, 2003, vol. 54, n^o 8, p. 1469-1491.
• 20M. 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, n^o 3, p. 501-522.
• 21R. Apostu, M. Mackey.
  
  Understanding cyclical thrombocytopenia: A mathematical modelling approach, in: Journal of Theoretical Biology, 2008, vol. 251, n^o 2, p. 297-316.
• 22J. Belair, M. Mackey, J. Mahaffy.
  
  Age-structured and two-delay models for erythropoiesis, in: Mathematical Biosciences, 1995, vol. 128, n^o 1-2, p. 317-346.
• 23S. Bernard, J. Belair, M. Mackey.
  
  Oscillations in cyclical neutropenia: new evidence based on mathematical modelling, in: J. Theor. Biol., 2003, vol. 223, n^o 3, p. 283-298.
• 24N. Bessonov, L. Pujo-Menjouet, V. Volpert.
  
  Cell modelling of hematopoiesis, in: Math. Model. Nat. Phenomena, 2006, vol. 1, n^o 2, p. 81-103.
• 25A. Ducrot, V. Volpert.
  
  On a model of leukemia development with a spatial cell distribution, in: Math. Model. Nat. Phenomena, 2007, vol. 2, n^o 3, p. 101-120.
• 26C. Haurie, D. Dale, M. Mackey.
  
  Cyclical Neutropenia and Other Periodic Hematological Disorders: A Review of Mechanisms and Mathematical Models, in: Blood, 1998, vol. 92, n^o 8, p. 2629-2640.
• 27M. Mackey.
  
  Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis, in: Blood, 1978, vol. 51, n^o 5, p. 941-956.
• 28M. 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, n^o 1, p. 166-187.
• 29F. Michor, T. Hughes, Y. Iwasa, S. Branford, N. Shah, C. Sawyers.
  
  Dynamics of chronic myeloid leukaemia, in: Nature, 2005, vol. 435, n^o 7046, p. 1267-1270.
• 30B. Perthame.
  
  Transport Equations in Biology, Birkhauser Basel, 2006.
• 31C. 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, n^o 1, p. 152-159.
• 32G. Webb.
  
  Theory of Nonlinear Age-Dependent Population Dynamics, Marcel Dekker, 1985.