메뉴 건너뛰기




Volumn 6, Issue 2, 2007, Pages 378-394

Bifurcation and bistability in a model of hematopoietic regulation

Author keywords

Bifurcation; Coupled oscillations; Delay differential equations; Mathematical biology; Stem cells

Indexed keywords

AMPLIFICATION; BIFURCATION (MATHEMATICS); BLOOD; CELLS; DYNAMICS; MOTION ESTIMATION; PLATELETS;

EID: 39649091518     PISSN: None     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/050640072     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0037678721 scopus 로고    scopus 로고
    • Oscillations in cyclical neutropenia: New evidence based on mathematical modeling
    • S. BERNARD, J. BÉLAIR, AND M. MACKEY, Oscillations in cyclical neutropenia: New evidence based on mathematical modeling, J. Theor. Biol., 223 (2003), pp. 293-298.
    • (2003) J. Theor. Biol , vol.223 , pp. 293-298
    • BERNARD, S.1    BÉLAIR, J.2    MACKEY, M.3
  • 3
    • 0030823542 scopus 로고    scopus 로고
    • Ability of early acting cytokines to directly promote survival and suppress apoptosis of human primitive CD34+CD38- bone marrow cells with multilineage potential at the single cell level: Key role of thrombopoietin
    • O. BORGE, V. RAMSFJELL, L. CUI, AND S. JACOBSEN, Ability of early acting cytokines to directly promote survival and suppress apoptosis of human primitive CD34+CD38- bone marrow cells with multilineage potential at the single cell level: Key role of thrombopoietin, Blood, 90 (1997), pp. 2282-2292.
    • (1997) Blood , vol.90 , pp. 2282-2292
    • BORGE, O.1    RAMSFJELL, V.2    CUI, L.3    JACOBSEN, S.4
  • 4
    • 33748374484 scopus 로고    scopus 로고
    • High frequency spikes in long period blood cell oscillations
    • C. COLIJN, A. FOWLER, AND M. MACKEY, High frequency spikes in long period blood cell oscillations, J. Math. Biol., 53 (2006), pp. 499-519.
    • (2006) J. Math. Biol , vol.53 , pp. 499-519
    • COLIJN, C.1    FOWLER, A.2    MACKEY, M.3
  • 5
    • 26044443571 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis: I. Periodic chronic myelogenous leukemia
    • C. COLLIN AND M. MACKEY, A mathematical model of hematopoiesis: I. Periodic chronic myelogenous leukemia, J. Theor. Biol., 237 (2005), pp. 117-132.
    • (2005) J. Theor. Biol , vol.237 , pp. 117-132
    • COLLIN, C.1    MACKEY, M.2
  • 6
    • 26044442893 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis: II. Cyclical neutropenia
    • C. COLIJN AND M. MACKEY, A mathematical model of hematopoiesis: II. Cyclical neutropenia, J. Theor. Biol., 237 (2005), pp. 133-146.
    • (2005) J. Theor. Biol , vol.237 , pp. 133-146
    • COLIJN, C.1    MACKEY, M.2
  • 7
    • 33846120651 scopus 로고    scopus 로고
    • P. DE COPPI, G. BARTSCH, JR., M. SIDDIQUI, T. XU, C. C. SANTOS, L. PERIN, G. MOSTOSLAVSKY, A. C. SERRE, E. Y. SNYDER, J. J. YOO, M. E. FURTH, S. SOKER, AND A. ATALA, Isolation of amniotic stem cell lines with potential for therapy, Nature Biotechnology, 25 (2007), pp. 100-106.
    • P. DE COPPI, G. BARTSCH, JR., M. SIDDIQUI, T. XU, C. C. SANTOS, L. PERIN, G. MOSTOSLAVSKY, A. C. SERRE, E. Y. SNYDER, J. J. YOO, M. E. FURTH, S. SOKER, AND A. ATALA, Isolation of amniotic stem cell lines with potential for therapy, Nature Biotechnology, 25 (2007), pp. 100-106.
  • 8
    • 0030786194 scopus 로고    scopus 로고
    • Chronic thrombocytopenia is induced in dogs by development of cross-reacting antibodies to the MpL ligand
    • D. C. DALE, J. L. NICHOL, D. A. RICH, D. M. BEST, S. J. SLICHTER, W. SHERIDAN, AND P. HUNT, Chronic thrombocytopenia is induced in dogs by development of cross-reacting antibodies to the MpL ligand, Blood, 90 (1997), p. 3456.
    • (1997) Blood , vol.90 , pp. 3456
    • DALE, D.C.1    NICHOL, J.L.2    RICH, D.A.3    BEST, D.M.4    SLICHTER, S.J.5    SHERIDAN, W.6    HUNT, P.7
  • 9
    • 0039483059 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
    • K. ENGELBORGHS, T. LUZYANINA, AND D. ROOSE, Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL, ACM Trans. Math. Software, 28 (2002), pp. 1-21.
    • (2002) ACM Trans. Math. Software , vol.28 , pp. 1-21
    • ENGELBORGHS, K.1    LUZYANINA, T.2    ROOSE, D.3
  • 10
    • 0004033107 scopus 로고    scopus 로고
    • DDE-BIFTOOL v. 2.00; A MATLAB Package for Bifurcation Analysis of Delay Differential Equations
    • Tech. rep, Department of Computer Science, K. U. Leuven, Leuven, Belgium
    • K. ENGELBORGHS, T. LUZYANINA, AND G. SAMAEY, DDE-BIFTOOL v. 2.00; A MATLAB Package for Bifurcation Analysis of Delay Differential Equations, Tech. rep., Department of Computer Science, K. U. Leuven, Leuven, Belgium, 2001.
    • (2001)
    • ENGELBORGHS, K.1    LUZYANINA, T.2    SAMAEY, G.3
  • 11
    • 0032956844 scopus 로고    scopus 로고
    • Periodic chronic myelogenous leukemia: Spectral analysis of blood cell counts and etiological implications
    • P. FORTIN AND M. MACKEY, Periodic chronic myelogenous leukemia: Spectral analysis of blood cell counts and etiological implications, Brit. J. Haematol., 104 (1999), pp. 336-245.
    • (1999) Brit. J. Haematol , vol.104 , pp. 336-245
    • FORTIN, P.1    MACKEY, M.2
  • 12
    • 0036706324 scopus 로고    scopus 로고
    • Relaxation oscillations in a class of delay differential equations
    • A. C. FOWLER AND M. C. MACKEY, Relaxation oscillations in a class of delay differential equations, SIAM J. Appl. Math., 63 (2002), pp. 299-323.
    • (2002) SIAM J. Appl. Math , vol.63 , pp. 299-323
    • FOWLER, A.C.1    MACKEY, M.C.2
  • 13
    • 0024360994 scopus 로고
    • Treatment of cyclic neutropenia with granulocyte colony stimulating factor
    • W. P. HAMMOND, T. H. PRICE, L. M. SOUZA, AND D. C. Dale, Treatment of cyclic neutropenia with granulocyte colony stimulating factor, New England J. Medicine, 320 (1989), pp. 1306-1311.
    • (1989) New England J. Medicine , vol.320 , pp. 1306-1311
    • HAMMOND, W.P.1    PRICE, T.H.2    SOUZA, L.M.3    Dale, D.C.4
  • 14
    • 0034697629 scopus 로고    scopus 로고
    • Modeling complex neutrophil dynamics in the grey collie
    • C. HAURIE, D. C. DALE, R. RUDNICKI, AND M. C. MACKEY, Modeling complex neutrophil dynamics in the grey collie, J. Theor. Biol., 204 (2000), pp. 504-519.
    • (2000) J. Theor. Biol , vol.204 , pp. 504-519
    • HAURIE, C.1    DALE, D.C.2    RUDNICKI, R.3    MACKEY, M.C.4
  • 15
    • 0032532631 scopus 로고    scopus 로고
    • Cyclical neutropenia and other periodic hematological diseases: A review of mechanisms and mathematical models
    • C. HAURIE, M. C. MACKEY, AND D. C. DALE, Cyclical neutropenia and other periodic hematological diseases: A review of mechanisms and mathematical models, Blood, 92 (1998), pp. 2629-2640.
    • (1998) Blood , vol.92 , pp. 2629-2640
    • HAURIE, C.1    MACKEY, M.C.2    DALE, D.C.3
  • 16
    • 0033052104 scopus 로고    scopus 로고
    • Occurrence of periodic oscillations in the differential blood counts of congenital, idiopathic and cyclical neutropenic patients before and during treatment with G-CSF
    • C. HAURIE. M. C. MACKEY, AND D. C. DALE, Occurrence of periodic oscillations in the differential blood counts of congenital, idiopathic and cyclical neutropenic patients before and during treatment with G-CSF, Exper. Hematol., 27 (1999), pp. 401-409.
    • (1999) Exper. Hematol , vol.27 , pp. 401-409
    • HAURIE, C.1    MACKEY, M.C.2    DALE, D.C.3
  • 17
    • 0003117329 scopus 로고
    • Dynamic haematological disorders of stem, cell origin
    • J. G. Vassileva-Popova and E. V. Jensen, eds, Plenum Publishing, New York
    • M. C. MACKEY, Dynamic haematological disorders of stem, cell origin, in Biophysical and Biochemical Information Transfer in Recognition, J. G. Vassileva-Popova and E. V. Jensen, eds., Plenum Publishing, New York, 1979, pp. 373-409.
    • (1979) Biophysical and Biochemical Information Transfer in Recognition , pp. 373-409
    • MACKEY, M.C.1
  • 18
    • 0032554028 scopus 로고    scopus 로고
    • Hematopoietic model with moving boundary condition and state dependent delay: Applications in erythropoiesis
    • J. MAHAFFY, J. BÉLAIR, AND M. MACKEY, Hematopoietic model with moving boundary condition and state dependent delay: Applications in erythropoiesis, J. Theor. Biol., 190 (1998), pp. 135-146.
    • (1998) J. Theor. Biol , vol.190 , pp. 135-146
    • MAHAFFY, J.1    BÉLAIR, J.2    MACKEY, M.3
  • 19
    • 0025334602 scopus 로고
    • Hematopoietic progenitors in cyclic neutropenia: Effect of granulocyte colony stimulating factor in vivo
    • A. R. MIGLIACCIO, G. MIGLIACCIO, D. C. DALE, AND W. P. HAMMOND, Hematopoietic progenitors in cyclic neutropenia: Effect of granulocyte colony stimulating factor in vivo, Blood, 75 (1990), pp. 1951-1959.
    • (1990) Blood , vol.75 , pp. 1951-1959
    • MIGLIACCIO, A.R.1    MIGLIACCIO, G.2    DALE, D.C.3    HAMMOND, W.P.4
  • 20
    • 0014831563 scopus 로고
    • Periodic diseases, physiological rhythms and feedback control-a hypothesis
    • A. MORLEY, Periodic diseases, physiological rhythms and feedback control-a hypothesis, Aust. Ann. Med., 3 (1970), pp. 244-249.
    • (1970) Aust. Ann. Med , vol.3 , pp. 244-249
    • MORLEY, A.1
  • 21
    • 0029894091 scopus 로고    scopus 로고
    • Thrombopoietin suppresses apoptosis and behaves as a survival factor for the human growth factor-dependent cell line, M07e
    • A. RITCHIE, S. VADHAN-RAJ, AND H. BROXMEYER, Thrombopoietin suppresses apoptosis and behaves as a survival factor for the human growth factor-dependent cell line, M07e, Stem Cells, 14 (1996), pp. 330-336.
    • (1996) Stem Cells , vol.14 , pp. 330-336
    • RITCHIE, A.1    VADHAN-RAJ, S.2    BROXMEYER, H.3
  • 22
    • 0034699773 scopus 로고    scopus 로고
    • Regulation of platelet production: The normal response to perturbation and cyclical platelet disease
    • M. SANTILLAN, J. MAHAFFY, J. BÉLAIR, AND M. MACKEY, Regulation of platelet production: The normal response to perturbation and cyclical platelet disease, J. Theor. Biol., 206 (2000), pp. 585-603.
    • (2000) J. Theor. Biol , vol.206 , pp. 585-603
    • SANTILLAN, M.1    MAHAFFY, J.2    BÉLAIR, J.3    MACKEY, M.4
  • 23
    • 0029794641 scopus 로고    scopus 로고
    • Erythropoietin can promote erythroid progenitor survival by repressing apoptosis through bcl-1 and bcl-2
    • M. SILVA, D. GRILLOT, A. BENITO, C. RICHARD, G. NUNEZ, AND J. FERNANDEZ-LUNA, Erythropoietin can promote erythroid progenitor survival by repressing apoptosis through bcl-1 and bcl-2, Blood, 88 (1996), pp. 1576-1582.
    • (1996) Blood , vol.88 , pp. 1576-1582
    • SILVA, M.1    GRILLOT, D.2    BENITO, A.3    RICHARD, C.4    NUNEZ, G.5    FERNANDEZ-LUNA, J.6
  • 24
    • 33747195353 scopus 로고    scopus 로고
    • Induction of pluripotent stem cells from mouse embryonic and adult fibroblast cultures by defined factors
    • K. TAKAHASHI AND S. YAMANAKA, Induction of pluripotent stem cells from mouse embryonic and adult fibroblast cultures by defined factors, Cell, 126 (2006), pp. 663-676.
    • (2006) Cell , vol.126 , pp. 663-676
    • TAKAHASHI, K.1    YAMANAKA, S.2
  • 25
    • 0028000676 scopus 로고
    • Contrasting effects of recombinant human granulocyte-macrophage colony-stimulating factor (CSF) and granulocyte CSF treatment on the cycling of blood elements in childhood-onset cyclic neutropenia
    • D. G. WRIGHT, R. F. KENNEY, D. H. OETTE, V. F. LARUSSA, L. A. BOXER, AND H. L. MALECH, Contrasting effects of recombinant human granulocyte-macrophage colony-stimulating factor (CSF) and granulocyte CSF treatment on the cycling of blood elements in childhood-onset cyclic neutropenia, Blood, 84 (1994), pp. 1257-1267.
    • (1994) Blood , vol.84 , pp. 1257-1267
    • WRIGHT, D.G.1    KENNEY, R.F.2    OETTE, D.H.3    LARUSSA, V.F.4    BOXER, L.A.5    MALECH, H.L.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.