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Volumn 49, Issue 11-12, 2009, Pages 2128-2137

Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations

Author keywords

Cell population dynamics; Delay differential equations; Distributed delay; Growth factors; Negative and positive feedback

Indexed keywords

CELL CULTURE; CELL DEATH; CELL PROLIFERATION; DIFFERENTIAL EQUATIONS; DYNAMICS; HOPF BIFURCATION; POPULATION STATISTICS; STEM CELLS; SYSTEM STABILITY;

EID: 67349230441     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.07.014     Document Type: Article
Times cited : (31)

References (25)
  • 1
    • 0018138249 scopus 로고
    • Unified hypothesis of the origin of aplastic anaemia and periodic hematopoiesis
    • Mackey M.C. Unified hypothesis of the origin of aplastic anaemia and periodic hematopoiesis. Blood 51 (1978) 941-956
    • (1978) Blood , vol.51 , pp. 941-956
    • Mackey, M.C.1
  • 2
    • 1842426546 scopus 로고    scopus 로고
    • Contribution to the study of periodic chronic myelogenous leukemia
    • Pujo-Menjouet L., and Mackey M.C. Contribution to the study of periodic chronic myelogenous leukemia. C. R. Biologies 327 (2004) 235-244
    • (2004) C. R. Biologies , vol.327 , pp. 235-244
    • Pujo-Menjouet, L.1    Mackey, M.C.2
  • 4
    • 0037678721 scopus 로고    scopus 로고
    • Oscillations in cyclical neutropenia: New evidence based on mathematical modeling
    • Bernard S., Bélair J., and Mackey M.C. Oscillations in cyclical neutropenia: New evidence based on mathematical modeling. J. Theoret. Biol. 223 (2003) 283-298
    • (2003) J. Theoret. Biol. , vol.223 , pp. 283-298
    • Bernard, S.1    Bélair, J.2    Mackey, M.C.3
  • 5
    • 26044443571 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis - I. Periodic chronic myelogenous leukemia
    • Colijn C., and Mackey M.C. A mathematical model of hematopoiesis - I. Periodic chronic myelogenous leukemia. J. Theor. Biol. 237 (2005) 117-132
    • (2005) J. Theor. Biol. , vol.237 , pp. 117-132
    • Colijn, C.1    Mackey, M.C.2
  • 6
    • 26044442893 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis - II. Cyclical neutropenia
    • Colijn C., and Mackey M.C. A mathematical model of hematopoiesis - II. Cyclical neutropenia. J. Theor. Biol. 237 (2005) 133-146
    • (2005) J. Theor. Biol. , vol.237 , pp. 133-146
    • Colijn, C.1    Mackey, M.C.2
  • 7
    • 0041627599 scopus 로고    scopus 로고
    • Global stability of a partial differential equation with distributed delay due to cellular replication
    • Adimy M., and Crauste F. Global stability of a partial differential equation with distributed delay due to cellular replication. Nonlinear Anal. 54 8 (2003) 1469-1491
    • (2003) Nonlinear Anal. , vol.54 , Issue.8 , pp. 1469-1491
    • Adimy, M.1    Crauste, F.2
  • 8
    • 10244256327 scopus 로고    scopus 로고
    • Existence, positivity and stability for a nonlinear model of cellular proliferation
    • Adimy M., and Crauste F. Existence, positivity and stability for a nonlinear model of cellular proliferation. Nonlinear Anal. RWA 6 2 (2005) 337-366
    • (2005) Nonlinear Anal. RWA , vol.6 , Issue.2 , pp. 337-366
    • Adimy, M.1    Crauste, F.2
  • 9
    • 24344486454 scopus 로고    scopus 로고
    • Stability of limit cycles in a pluripotent stem cell dynamics model
    • Adimy M., Crauste F., Halanay A., Neamţu M., and Opriş D. Stability of limit cycles in a pluripotent stem cell dynamics model. Chaos Solitons Fractals 27 4 (2006) 1091-1107
    • (2006) Chaos Solitons Fractals , vol.27 , Issue.4 , pp. 1091-1107
    • Adimy, M.1    Crauste, F.2    Halanay, A.3    Neamţu, M.4    Opriş, D.5
  • 10
    • 15744401788 scopus 로고    scopus 로고
    • On the stability of a maturity structured model of cellular proliferation
    • Adimy M., Crauste F., and Pujo-Menjouet L. On the stability of a maturity structured model of cellular proliferation. Discrete Contin. Dyn. Syst. Ser. A 12 3 (2005) 501-522
    • (2005) Discrete Contin. Dyn. Syst. Ser. A , vol.12 , Issue.3 , pp. 501-522
    • Adimy, M.1    Crauste, F.2    Pujo-Menjouet, L.3
  • 11
    • 15844377066 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
    • Adimy M., Crauste F., and Ruan S. Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Nonlinear Anal. RWA 6 4 (2005) 651-670
    • (2005) Nonlinear Anal. RWA , vol.6 , Issue.4 , pp. 651-670
    • Adimy, M.1    Crauste, F.2    Ruan, S.3
  • 12
    • 24344475745 scopus 로고    scopus 로고
    • A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
    • Adimy M., Crauste F., and Ruan S. A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. SIAM J. Appl. Math. 65 4 (2005) 1328-1352
    • (2005) SIAM J. Appl. Math. , vol.65 , Issue.4 , pp. 1328-1352
    • Adimy, M.1    Crauste, F.2    Ruan, S.3
  • 13
    • 0043037214 scopus 로고    scopus 로고
    • Asymptotic behaviour of a singular transport equation modelling cell division
    • Adimy M., and Pujo-Menjouet L. Asymptotic behaviour of a singular transport equation modelling cell division. Discrete Contin. Dyn. Syst. Ser. B 3 (2003) 439-456
    • (2003) Discrete Contin. Dyn. Syst. Ser. B , vol.3 , pp. 439-456
    • Adimy, M.1    Pujo-Menjouet, L.2
  • 14
    • 0029025412 scopus 로고
    • Age-structured and two-delay models for erythropoiesis
    • Bélair J., Mackey M.C., and Mahaffy J.M. Age-structured and two-delay models for erythropoiesis. Math. Biosci. 128 (1995) 317-346
    • (1995) Math. Biosci. , vol.128 , pp. 317-346
    • Bélair, J.1    Mackey, M.C.2    Mahaffy, J.M.3
  • 15
    • 0032554028 scopus 로고    scopus 로고
    • Hematopoietic model with moving boundary condition and state dependent delay
    • Mahaffy J.M., Bélair J., and Mackey M.C. Hematopoietic model with moving boundary condition and state dependent delay. J. Theor. Biol. 190 (1998) 135-146
    • (1998) J. Theor. Biol. , vol.190 , pp. 135-146
    • Mahaffy, J.M.1    Bélair, J.2    Mackey, M.C.3
  • 16
    • 33750733928 scopus 로고    scopus 로고
    • Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
    • Adimy M., Crauste F., and Ruan S. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bull. Math. Biol. 68 (2006) 2321-2351
    • (2006) Bull. Math. Biol. , vol.68 , pp. 2321-2351
    • Adimy, M.1    Crauste, F.2    Ruan, S.3
  • 17
    • 34548687470 scopus 로고    scopus 로고
    • Modelling and asymptotic stability of a growth factor-dependent stem cells dynamics model with distributed delay
    • Adimy M., and Crauste F. Modelling and asymptotic stability of a growth factor-dependent stem cells dynamics model with distributed delay. Discrete Contin. Dyn. Syst. Ser. B 8 1 (2007) 19-38
    • (2007) Discrete Contin. Dyn. Syst. Ser. B , vol.8 , Issue.1 , pp. 19-38
    • Adimy, M.1    Crauste, F.2
  • 18
    • 3142683813 scopus 로고    scopus 로고
    • Apoptotic mechanisms in the control of erythropoiesis
    • Testa U. Apoptotic mechanisms in the control of erythropoiesis. Leukemia 18 7 (2004) 1176-1199
    • (2004) Leukemia , vol.18 , Issue.7 , pp. 1176-1199
    • Testa, U.1
  • 19
    • 0025343574 scopus 로고
    • Erythropoietin retards DNA breakdown and prevents programmed death in erythroid progenitor cells
    • Koury M.J., and Bondurant M.C. Erythropoietin retards DNA breakdown and prevents programmed death in erythroid progenitor cells. Science 248 (1990) 378-381
    • (1990) Science , vol.248 , pp. 378-381
    • Koury, M.J.1    Bondurant, M.C.2
  • 23
    • 84960560867 scopus 로고
    • Roots of the transcendental equation associated with a certain differential difference equation
    • Hayes N.D. Roots of the transcendental equation associated with a certain differential difference equation. J. London Math. Soc. 25 (1950) 226-232
    • (1950) J. London Math. Soc. , vol.25 , pp. 226-232
    • Hayes, N.D.1
  • 24
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • Wei J., and Ruan S. Stability and bifurcation in a neural network model with two delays. Physica D 130 (1999) 255-272
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.1    Ruan, S.2
  • 25
    • 0035371254 scopus 로고    scopus 로고
    • Solving DDEs in Matlab
    • Shampine L.F., and Thompson S. Solving DDEs in Matlab. Appl. Numer. Math. 37 (2001) 441-458. http://www.radford.edu/thompson/webddes/
    • (2001) Appl. Numer. Math. , vol.37 , pp. 441-458
    • Shampine, L.F.1    Thompson, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.