Team dracula

Overall Objectives
Scientific Foundations
Application Domains
New Results
Other Grants and Activities


Publications of the year

Articles in International Peer-Reviewed Journal

M. Adimy, F. Crauste, A. El Abdllaoui.
Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics, in: Comptes Rendus Mathematique, 2010, vol. 348, no 7-8, p. 373-377.
M. Adimy, F. Crauste, H. Hbid, R. Qesmi.
Stability and Hopf bifurcation for a cell population model with state-dependent delay, in: SIAM J. Appl. Math, 2010, vol. 70, no 5, p. 1611-1633.
M. Adimy, F. Crauste, C. Marquet.
Asymptotic behavior and stability switch for a mature-immature model of cell differentiation, in: Nonlinear Analysis: Real World Applications, 2010, vol. 11, no 4, p. 2913-2929. [ DOI : 10.1016/j.nonrwa.2009.11.001 ]
M. Adimy, K. Ezzinbi, M. Alia.
Extrapolation Spaces and Partial Neutral Functional Differential Equations with infinite delay, in: Differential and integral equations, 2011.
E. Arner, P. O. Westermark, K. L. Spalding, T. Britton, M. Rydén, J. Frisén, S. Bernard, P. Arner.
Adipocyte turnover: relevance to human adipose tissue morphology, in: Diabetes, 2010, vol. 59, no 1, p. 105-9. [ DOI : 10.2337/db09-0942 ]
O. 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, 2011, vol. 317, no 2, p. 188-94. [ DOI : 10.1016/j.yexcr.2010.08.017 ]
S. Bernard, B. Cajavec Bernard, F. Lévi, H. Herzel.
Tumor growth rate determines the timing of optimal chronomodulated treatment schedules, in: Plos Computational Biology, 2010, vol. 6, no 3, e1000712 p. [ DOI : 10.1371/journal.pcbi.1000712 ]
S. Bernard, J. Frisén, K. L. Spalding.
A mathematical model for the interpretation of nuclear bomb test derived 14C incorporation in biological systems, in: Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2010, vol. 268, no 7-8, p. 1295-1298. [ DOI : 10.1016/j.nimb.2009.10.156 ]
A. Coulon, O. Gandrillon, G. Beslon.
On the spontaneous stochastic dynamics of a single gene: complexity of the molecular interplay at the promoter, in: BMC Syst Biol, 2010, vol. 4, 2 p. [ DOI : 10.1186/1752-0509-4-2 ]
F. Crauste, I. Demin, O. Gandrillon, V. Volpert.
Mathematical study of feedback control roles and relevance in stress erythropoiesis, in: Journal of Theoretical Biology, 2010, vol. 263, no 3, p. 303-16. [ DOI : 10.1016/j.jtbi.2009.12.026 ]
I. Demin, F. Crauste, O. Gandrillon, V. Volpert.
A multi-scale model of erythropoiesis, in: Journal of Biological Dynamics, 2010, vol. 4, no 1, p. 59-70.
A. T. Nguyen-Lefebvre, S. Gonin-Giraud, A. Scherl, P. Arboit, L. Granger, J.-C. Sanchez, J.-J. Diaz, O. Gandrillon, J.-J. Madjar.
Identification of human, rat and chicken ribosomal proteins by a combination of two-dimensional polyacrylamide gel electrophoresis and mass spectrometry, in: Journal of proteomics, 2010. [ DOI : 10.1016/j.jprot.2010.10.007 ]
C. Royer, J. Briolay, A. Garel, P. Brouilly, S.-I. Sasanuma, M. Sasanuma, M. Shimomura, C. Keime, O. Gandrillon, Y. Huang, G. Chavancy, K. Mita, P. Couble.
Novel genes differentially expressed between posterior and median silk gland identified by SAGE-aided transcriptome analysis, in: Insect Biochemistry and Molecular Biology, 2010. [ DOI : 10.1016/j.ibmb.2010.11.003 ]
V. Volpert, K. Allali, F. Bikany, A. Taik.
Linear stability analysis of reaction front propagation in liquids with vibrations, in: IEJPAM, 2010, vol. 1, no 2, p. 196-215.
V. Volpert, N. Apreutesei, N. Bessonov, V. Vougalter.
Spatial structures and generalized travelling waves for an integro-differential equation, in: Discrete and Continuous Dynamical Systems: Series B, 2010, vol. 13, no 3, p. 537-557.
V. Volpert, I. Demin, A. Ducrot.
Spatial distribution of cell populations in the process of erythropoiesis, in: IEJPAM, 2010, vol. 1, no 2, p. 143-161.
V. Volpert, I. Demin.
Existence of Waves for a Nonlocal Reaction-Diffusion Equation, in: Math. Model. Nat. Phenom., 2010, vol. 5, no 5, p. 80-101.
V. Volpert, V. Vougalter.
On the solvability conditions for some non-Fredholm operators, in: IJPAM, 2010, vol. 20, no 2, p. 169-191.

Scientific Books (or Scientific Book chapters)

F. Crauste.
Stability and Hopf bifurcation for a first-order linear delay differential equation with distributed delay, in: Complex Time Delay Systems (Ed. F. Atay), Springer, 2010, 320 p.

Other Publications

J. Clairambault, S. Gaubert, T. Lepoutre.
Circadian rhythm and cell population growth, 2010.
P. Kurbatova, S. Bernard, N. Bessonov, F. Crauste, I. Demin, C. Dumontet, S. Fischer, V. Volpert.
Hybrid model of erythropoiesis and leukemia treatment with cytosine arabinoside, 2010.

References in notes

M. 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.
M. 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, 501–522 p.
R. Apostu, M. Mackey.
Understanding cyclical thrombocytopenia: A mathematical modelling approach, in: Journal of Theoretical Biology, 2008, vol. 251, no 2, p. 297-316.
S. Bernard, J. Bélair, M. Mackey.
Oscillations in cyclical neutropenia: new evidence based on mathematical modelling, in: J. Theor. Biol., 2003, vol. 223, no 3, p. 283-298.
N. Bessonov, L. Pujo-Menjouet, V. Volpert.
Cell modelling of hematopoiesis, in: Math. Model. Nat. Phenomena, 2006, vol. 1, no 2, p. 81-103.
J. Bélair, M. Mackey, J. Mahaffy.
Age-structured and two-delay models for erythropoiesis, in: Mathematical Biosciences, 1995, vol. 128, no 1-2, p. 317-346.
A. 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.
C. Haurie, D. Dale, M. 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.
M. Mackey.
Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis, in: Blood, 1978, vol. 51, no 5, p. 941-956.
M. 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.
F. 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.
B. Perthame.
Transport Equations in Biology, Birkhauser Basel, 2006.
C. 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.
G. Webb.
Theory of Nonlinear Age-Dependent Population Dynamics, Marcel Dekker, 1985.