M. Adimy, F. Crauste, and A. Abdllaoui, DISCRETE-MATURITY STRUCTURED MODEL OF CELL DIFFERENTIATION WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA, Journal of Biological Systems, vol.92, issue.03, pp.395-424, 2008.
DOI : 10.1046/j.1365-2141.1999.01168.x

URL : https://hal.archives-ouvertes.fr/hal-00750276

M. Adimy and F. Crauste, Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations, Mathematical and Computer Modelling, vol.49, issue.11-12, pp.2128-2137, 2009.
DOI : 10.1016/j.mcm.2008.07.014

M. Adimy, F. Crauste, and A. Abdllaoui, Boundedness and Lyapunov function for a nonlinear system of hematopoietic stem cell dynamics, Comptes Rendus Mathematique, vol.348, issue.7-8, pp.373-377, 2010.
DOI : 10.1016/j.crma.2010.02.018

URL : https://hal.archives-ouvertes.fr/hal-00542477

S. Cai, X. Fu, and Z. Sheng, Dedifferentiation: A New Approach in Stem Cell Research, BioScience, vol.283, issue.8, pp.655-662, 2007.
DOI : 10.1074/jbc.M413300200

W. Djema, F. Mazenc, and C. Bonnet, Lyapunov stability analysis of a model describing hematopoiesis, 2015 European Control Conference (ECC), pp.2711-2716, 2015.
DOI : 10.1109/ECC.2015.7330947

URL : https://hal.archives-ouvertes.fr/hal-01202179

W. Djema, F. Mazenc, and C. Bonnet, Stability of immature cell dynamics in healthy and unhealthy hematopoiesis, 2016 American Control Conference (ACC), pp.6121-6126, 2016.
DOI : 10.1109/ACC.2016.7526631

URL : https://hal.archives-ouvertes.fr/hal-01389865

E. Fridman, Introduction to time-delay systems: analysis and control, p.300
DOI : 10.1007/978-3-319-09393-2

. Birkhauser, Systems and Control: Foundations and Applications, 2014.

E. Fridman, C. Bonnet, F. Mazenc, and W. Djema, Stability of the cell dynamics in acute myeloid leukemia, Systems & Control Letters, vol.88, pp.91-100, 2016.
DOI : 10.1016/j.sysconle.2015.09.006

URL : https://hal.archives-ouvertes.fr/hal-01257577

H. Khalil, Nonlinear systems, Third Edition, 2002.

E. Lainey, Tyrosine kinase inhibitors for the treatment of acute myeloid leukemia: Delineation of anti-leukemic mechanisms of action, Biochemical Pharmacology, vol.82, issue.10, pp.1457-1466, 2011.
DOI : 10.1016/j.bcp.2011.05.011

M. C. Mackey, Unified hypothesis of the origin of aplastic anemia and periodic hematopoiesis, Blood, vol.51, pp.941-956, 1978.

J. M. Mahaffy, J. Bélair, and M. C. Mackey, Hematopoietic Model with Moving Boundary Condition and State Dependent Delay: Applications in Erythropoiesis, Journal of Theoretical Biology, vol.190, issue.2, pp.135-146, 1998.
DOI : 10.1006/jtbi.1997.0537

M. Malisoff and F. Mazenc, Constructions of Strict Lyapunov Functions, Serie : Communications and Control Engineering. Spinger-Verlag London Ltd, 2009.
DOI : 10.1007/978-1-84882-535-2

D. B. Sykes, Inhibition of Dihydroorotate Dehydrogenase Overcomes Differentiation Blockade in Acute Myeloid Leukemia, Cell, vol.167, issue.1, pp.171-186, 2016.
DOI : 10.1016/j.cell.2016.08.057

H. Ozbay, C. Bonnet, H. Benjelloun, and J. Clairambault, Stability Analysis of Cell Dynamics in Leukemia, Mathematical Modelling of Natural Phenomena, vol.213, issue.2, pp.203-234, 2012.
DOI : 10.1002/jcp.21140

URL : https://hal.archives-ouvertes.fr/hal-00766052

H. Ozbay, C. Bonnet, and J. Clairambault, Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics, 2008 47th IEEE Conference on Decision and Control, pp.2050-2055, 2008.
DOI : 10.1109/CDC.2008.4738654

L. Pujo-menjouet, S. Bernard, and M. C. Mackey, Model of Hematopoietic Stem Cells, SIAM Journal on Applied Dynamical Systems, vol.4, issue.2, pp.312-332, 2005.
DOI : 10.1137/030600473