M. Adimy, F. Crauste, R. S. Stability, and H. Bifurcation, Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics, Nonlinear Analysis: Real World Applications, vol.6, issue.4, pp.651-670, 2005.
DOI : 10.1016/j.nonrwa.2004.12.010
URL : https://hal.archives-ouvertes.fr/hal-00375966

M. Adimy, F. Crauste, and S. Ruan, A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia, SIAM Journal on Applied Mathematics, vol.65, issue.4
DOI : 10.1137/040604698
URL : https://hal.archives-ouvertes.fr/hal-00375977

F. Burns and I. Tannock, -PHASE IN THE CELL CYCLE, Cell Proliferation, vol.8, issue.4, pp.321-334, 1970.
DOI : 10.1016/0014-4827(59)90063-1
URL : https://hal.archives-ouvertes.fr/hal-01057010

M. Mackey, A unified hypothesis on the origin of aplastic anaemia and periodic hematopoiesis, Blood, vol.51, pp.946-956, 1978.

M. Mackey, Dynamic hematological disorders of stem cell origin, in Biophysical and Biochemical Information Transfer in Recognition, pp.373-409, 1979.

C. Haurie, D. Dale, and M. Mackey, Cyclical neutropenia and other periodic hematological diseases: A review of mechanisms and mathematical models, Blood, vol.92, pp.2629-2640, 1998.

M. Mackey, C. Haurie, and J. Bélair, Cell Replication and Control, Nonlinear Dynamics in Physiology and Medicine, pp.233-269, 2003.
DOI : 10.1007/978-0-387-21640-9_8

L. Pujo-menjouet, S. Bernard, and M. Mackey, Model of Hematopoietic Stem Cells, SIAM Journal on Applied Dynamical Systems, vol.4, issue.2
DOI : 10.1137/030600473

L. Pujo-menjouet and M. Mackey, Contribution to the study of periodic chronic myelogenous leukemia, Comptes Rendus Biologies, vol.327, issue.3, pp.235-244, 2004.
DOI : 10.1016/j.crvi.2003.05.004

R. Anderson, Geometric and probabilistic stability criteria for delay systems, Mathematical Biosciences, vol.105, issue.1, pp.81-96, 1991.
DOI : 10.1016/0025-5564(91)90049-O

R. Anderson, Intrinsic parameters and stability of differential-delay equations, Journal of Mathematical Analysis and Applications, vol.163, issue.1, pp.184-199, 1992.
DOI : 10.1016/0022-247X(92)90287-N

S. Bernard, J. Belair, and M. Mackey, Sufficient conditions for stability of linear differential equations with distributed delay, Disc. Cont. Dyn. Syst. Ser. B, vol.1, pp.233-256, 2001.

F. Boese, The stability chart for the linearized Cushing equation with a discrete delay and with gamma-distributed delays, Journal of Mathematical Analysis and Applications, vol.140, issue.2, pp.510-536, 1989.
DOI : 10.1016/0022-247X(89)90081-4

Y. Kuang, Nonoccurrence of stability switching in systems of differential equations with distributed delays, Quarterly of Applied Mathematics, vol.52, issue.3, pp.569-578, 1994.
DOI : 10.1090/qam/1292206

X. Liao, K. Wong, and Z. Wu, Stability of bifurcating periodic solutions for van der Pol equation with continuous distributed delay, Applied Mathematics and Computation, vol.146, issue.2-3, pp.313-334, 2003.
DOI : 10.1016/S0096-3003(02)00545-3

G. Bradford, B. Williams, R. Rossi, and I. Bertoncello, Quiescence, cycling, and turnover in the primitive haematopoietic stem cell compartment, Exper. Hematol, vol.25, pp.445-453, 1997.

B. Hassard, N. Kazarinoff, and Y. Wan, Theory and Applications of Hopf Bifurcation, London Mathem. Soc. Lecture Note Series, vol.41, 1981.

G. Stepan, Retarded dynamical systems: stability and characteristic functions, Pitman Research Notes in Math. Ser, 1989.

A. Halanay, Differential Equations; Stability, Oscillations, Time Lags, 1966.

J. Carr, Applications of Center Manifold Theory, 1981.

N. Chafee, A bifurcation problem for a functional differential equation of finitely retarded type, Journal of Mathematical Analysis and Applications, vol.35, issue.2, pp.312-348, 1991.
DOI : 10.1016/0022-247X(71)90221-6

S. Chow and J. Mallet-paret, Integral averaging and bifurcation, Journal of Differential Equations, vol.26, issue.1, pp.112-159, 1977.
DOI : 10.1016/0022-0396(77)90101-2
URL : http://doi.org/10.1016/0022-0396(77)90101-2

T. Faria and L. Magalhaes, Normal Forms for Retarded Functional Differential Equations and Applications to Bogdanov-Takens Singularity, Journal of Differential Equations, vol.122, issue.2, pp.201-224, 1995.
DOI : 10.1006/jdeq.1995.1145

J. Hale, Theory of Functional Differential Equations, 1977.
DOI : 10.1007/978-1-4612-9892-2

J. Marsden and M. Mccraken, The Hopf Bifurcation and its Applications, 1976.

S. Namachchivaya, N. Van-roessel, and H. , A centre-manifold analysis of variable speed machining, Dynamical Systems, vol.1, issue.1, pp.245-270, 2003.
DOI : 10.1016/0890-6955(93)90038-V

M. Adimy, Integrated Semigroups and Delay Differential Equations, Journal of Mathematical Analysis and Applications, vol.177, issue.1, pp.125-124, 1993.
DOI : 10.1006/jmaa.1993.1247
URL : http://doi.org/10.1006/jmaa.1993.1247

W. Arendt, Resolvent Positive Operators, Proc. London, pp.321-349, 1987.
DOI : 10.1112/plms/s3-54.2.321
URL : http://plms.oxfordjournals.org/cgi/content/short/s3-54/2/321

D. Prato, G. Sinestri, and E. , Differential operators with non-dense domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.14, pp.285-344, 1987.

L. Shampine and S. Thompson, Solving DDEs in Matlab, Applied Numerical Mathematics, vol.37, issue.4, pp.441-458, 2001.
DOI : 10.1016/S0168-9274(00)00055-6

P. Fortin and M. Mackey, Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts and aetiological implications, British Journal of Haematology, vol.88, issue.2, pp.336-345, 1999.
DOI : 10.1086/160554