메뉴 건너뛰기




Volumn 49, Issue 5, 2004, Pages 501-536

Stability of a model of human granulopoiesis using continuous maturation

Author keywords

Granulopoiesis; Mathematical model; Stability

Indexed keywords

ANTINEOPLASTIC AGENT; GRANULOCYTE COLONY STIMULATING FACTOR;

EID: 11144309003     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00285-004-0274-6     Document Type: Article
Times cited : (7)

References (41)
  • 2
    • 0004147916 scopus 로고
    • Addison-Wesley, Reading Massachusetts Palo Alto London
    • Apostol, T.M.: Mathematical analysis. Addison-Wesley, Reading Massachusetts Palo Alto London, 1965, pp. 146-148
    • (1965) Mathematical Analysis , pp. 146-148
    • Apostol, T.M.1
  • 3
    • 84982578843 scopus 로고
    • Regulation of maturation rate of mouse granulocytes
    • Benestad, H.B., Rytömaa, T.: Regulation of maturation rate of mouse granulocytes. Cell Tissue Kinet 10, 461-468 (1977)
    • (1977) Cell Tissue Kinet , vol.10 , pp. 461-468
    • Benestad, H.B.1    Rytömaa, T.2
  • 5
    • 0027264117 scopus 로고
    • Time lapse video recordings of highly purified human hematopoietic progenitor cells in culture
    • Denkers, I.A.M., Dragowska, W., Jaggi, B., Palcic, B., Lansdorp, P.M.: Time lapse video recordings of highly purified human hematopoietic progenitor cells in culture. Stem Cells 11, 243-248 (1993)
    • (1993) Stem Cells , vol.11 , pp. 243-248
    • Denkers, I.A.M.1    Dragowska, W.2    Jaggi, B.3    Palcic, B.4    Lansdorp, P.M.5
  • 8
    • 0015992062 scopus 로고
    • Non-linear age-dependent population dynamics
    • Gurtin, M.E., MacCamy, R.C.: Non-linear age-dependent population dynamics. Arch. Rat. Mech. Anal. 54, 381-300 (1974)
    • (1974) Arch. Rat. Mech. Anal. , vol.54 , pp. 381-1300
    • Gurtin, M.E.1    MacCamy, R.C.2
  • 9
    • 0026623286 scopus 로고
    • Abnormal responsiveness of granulocyte-committed progenitor cells in cyclic neutropenia
    • Hammond, W.P., Chatta, G.S., Andrews, R.G., Dale, D.C.: Abnormal responsiveness of granulocyte-committed progenitor cells in cyclic neutropenia. Blood 79 (10), 2536-2539 (1992)
    • (1992) Blood , vol.79 , Issue.10 , pp. 2536-2539
    • Hammond, W.P.1    Chatta, G.S.2    Andrews, R.G.3    Dale, D.C.4
  • 10
    • 0024360994 scopus 로고
    • Treatment of cyclic neutropenia with granulocyte colony-stimulating factor
    • Hammond, W.P., Price, T.H., Souza, L.M., Dale, D.C.: Treatment of cyclic neutropenia with granulocyte colony-stimulating factor. N. Engl. J. Med. 320, 1306-11 (1989)
    • (1989) N. Engl. J. Med. , vol.320 , pp. 1306-1311
    • Hammond, W.P.1    Price, T.H.2    Souza, L.M.3    Dale, D.C.4
  • 11
    • 0025121107 scopus 로고
    • Comparison of treatment of canine cyclic hematopoiesis with recombinant human granulocyte-macro-phage colony stimulating factor(GM-CSF), G-CSF, Interleukin-3, and Canine G-CSF
    • Hammond, W.P., Boone, T.C., Donahue, R.E., Souza, L.M., Dale, D.C.: Comparison of treatment of canine cyclic hematopoiesis with recombinant human granulocyte-macro-phage colony stimulating factor(GM-CSF), G-CSF, Interleukin-3, and Canine G-CSF. Blood 76, 523 (1990)
    • (1990) Blood , vol.76 , pp. 523
    • Hammond, W.P.1    Boone, T.C.2    Donahue, R.E.3    Souza, L.M.4    Dale, D.C.5
  • 12
    • 0032532631 scopus 로고    scopus 로고
    • Cyclical neutropenia and other periodic hematological disorders: A review of mechanisms and mathematical models
    • Haurie, C., Dale, D.C., Mackey, M.C.: Cyclical neutropenia and other periodic hematological disorders: A review of mechanisms and mathematical models. Blood 8, 2629-2640 (1998)
    • (1998) Blood , vol.8 , pp. 2629-2640
    • Haurie, C.1    Dale, D.C.2    Mackey, M.C.3
  • 13
    • 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
    • Haurie, C., Dale, D.C., Mackey, M.C.: Occurrence of periodic oscillations in the differential blood counts of congenital, idiopathic, and cyclical neutropenic patients before and during treatment with G-CSF. Exp. Hematol. 27, 401-409 (1999)
    • (1999) Exp. Hematol. , vol.27 , pp. 401-409
    • Haurie, C.1    Dale, D.C.2    Mackey, M.C.3
  • 15
    • 0034697629 scopus 로고    scopus 로고
    • Modeling complex neutrophil dynamics in the grey collie
    • Haurie, C., Dale, D.C., Rudnicki, R., Mackey, M.C.: Modeling complex neutrophil dynamics in the grey collie. J. Theor. Biol. 204, 505-519 (2000)
    • (2000) J. Theor. Biol. , vol.204 , pp. 505-519
    • Haurie, C.1    Dale, D.C.2    Rudnicki, R.3    Mackey, M.C.4
  • 16
    • 0018717264 scopus 로고
    • Oscillations of granulocytic and megakarocytic progenitor cell populations in cyclic neutropenia in man
    • Jacobsen, N., Broxmeyer, H.: Oscillations of granulocytic and megakarocytic progenitor cell populations in cyclic neutropenia in man. Scand. J. Haematol. 23, 33-36 (1979)
    • (1979) Scand. J. Haematol. , vol.23 , pp. 33-36
    • Jacobsen, N.1    Broxmeyer, H.2
  • 17
    • 0000874319 scopus 로고
    • On the stability of a periodic solution of a differential delay equation
    • Kaplan, J.L., Yorke, J.A.: On the stability of a periodic solution of a differential delay equation. SIAM J. Math. Anal. 6 (2), 268-282 (1975)
    • (1975) SIAM J. Math. Anal. , vol.6 , Issue.2 , pp. 268-282
    • Kaplan, J.L.1    Yorke, J.A.2
  • 18
    • 0014834061 scopus 로고
    • Computer simulation of granulopoiesis: Normal and impaired granulopoiesis
    • King-Smith, E., Morley, A.: Computer simulation of granulopoiesis: Normal and impaired granulopoiesis. Blood 36 (2), 254-262 (1970)
    • (1970) Blood , vol.36 , Issue.2 , pp. 254-262
    • King-Smith, E.1    Morley, A.2
  • 19
    • 0346910113 scopus 로고    scopus 로고
    • Clinical use of enriched CD34+ cells
    • Kvalheim, G.: Clinical use of enriched CD34+ cells. Blood Therapies in Medicine 2 (2), 57-64 (2002)
    • (2002) Blood Therapies in Medicine , vol.2 , Issue.2 , pp. 57-64
    • Kvalheim, G.1
  • 20
    • 0016318184 scopus 로고
    • A mathematical model of neutrophil production and control in normal man
    • Lebowitz, J.L., Rubinow, S.I.: A mathematical model of neutrophil production and control in normal man. J. Math. Biol. 1, 187-225 (1975)
    • (1975) J. Math. Biol. , vol.1 , pp. 187-225
    • Lebowitz, J.L.1    Rubinow, S.I.2
  • 22
    • 0018373214 scopus 로고
    • Pathological conditions resulting from instabilities in physiological control systems
    • Glass, L., Mackey, M.C.: Pathological conditions resulting from instabilities in physiological control systems. Ann. N. Y. Acad. Sci. 316, 214-235 (1979)
    • (1979) Ann. N. Y. Acad. Sci. , vol.316 , pp. 214-235
    • Glass, L.1    Mackey, M.C.2
  • 23
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • Mackey, M.C., Glass, L.: Oscillation and chaos in physiological control systems. Science 197, 287-289 (1977)
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 24
    • 0000478221 scopus 로고
    • Feedback, delays and the origin of blood cell dynamics
    • Mackey, M.C., Milton, J.G.: Feedback, delays and the origin of blood cell dynamics. Comm. Theor. Biol. 1, 299-327 (1990)
    • (1990) Comm. Theor. Biol. , vol.1 , pp. 299-327
    • Mackey, M.C.1    Milton, J.G.2
  • 25
    • 0032554028 scopus 로고    scopus 로고
    • Hematopoietic model with moving boundary condition and state dependent delay:Applications in erythropoiesis
    • Mahaffy, J.M., Belair, J., Mackey, M.C.: Hematopoietic model with moving boundary condition and state dependent delay:Applications in erythropoiesis. J. Theor. Biol. 190, 135-146 (1998)
    • (1998) J. Theor. Biol. , vol.190 , pp. 135-146
    • Mahaffy, J.M.1    Belair, J.2    Mackey, M.C.3
  • 26
    • 0020155008 scopus 로고
    • A test for stability of linear differential delay, equations
    • Mahaffy, J.M.: A test for stability of linear differential delay, equations. Quart. Appl. Math., July, 193-202 (1982)
    • (1982) Quart. Appl. Math. , vol.JULY , pp. 193-202
    • Mahaffy, J.M.1
  • 27
    • 0014753555 scopus 로고
    • Studies on the regulation of granulopoiesis. I. The response to neutropenia
    • Morley, A., Stohlman, F.: Studies on the regulation of granulopoiesis. I. The response to neutropenia. Blood 35 (3), 312-321 (1970)
    • (1970) Blood , vol.35 , Issue.3 , pp. 312-321
    • Morley, A.1    Stohlman, F.2
  • 28
    • 0003475470 scopus 로고
    • Springer-Verlag, New York Berlin Heidelberg
    • Murray, J.D.: Mathematical Biology. Springer-Verlag, New York Berlin Heidelberg, 1989
    • (1989) Mathematical Biology
    • Murray, J.D.1
  • 29
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the Nelder-Mead simplex method in low dimensions
    • Lagarias, J.C., Reeds, J.A., Wright, M.H., Wright, P.E.: Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J. Optim. 9 (1), 112-147 (1998)
    • (1998) SIAM J. Optim. , vol.9 , Issue.1 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 30
    • 0028149871 scopus 로고
    • Reduced variance of bone-marrow transit time of granulopoiesis - A possible pathomechanism of human cyclic neutropenia
    • Schmitz, S., Franke, H., Loeffler, M., Wichmann, H.E., Diehl, V.: Reduced variance of bone-marrow transit time of granulopoiesis - a possible pathomechanism of human cyclic neutropenia. Cell Prolif 27, 655-667 (1994)
    • (1994) Cell Prolif , vol.27 , pp. 655-667
    • Schmitz, S.1    Franke, H.2    Loeffler, M.3    Wichmann, H.E.4    Diehl, V.5
  • 31
    • 0030472274 scopus 로고    scopus 로고
    • Model analysis of the contrasting effects of GM-CSF and G-CSF treatment on peripheral blood neutrophils observed in three patients with childhood-onset cyclic neutropenia
    • Schmitz, S., Franke, H., Loeffler, M., Wichmann, H.E., Diehl, V.: Model analysis of the contrasting effects of GM-CSF and G-CSF treatment on peripheral blood neutrophils observed in three patients with childhood-onset cyclic neutropenia. Brit. J. Haematol. 95, 616-625 (1996)
    • (1996) Brit. J. Haematol. , vol.95 , pp. 616-625
    • Schmitz, S.1    Franke, H.2    Loeffler, M.3    Wichmann, H.E.4    Diehl, V.5
  • 32
    • 0029015655 scopus 로고
    • The effect of continuous G-CSF application in human cyclic neutropenia: A model analysis
    • Schmitz, S., Franke, H., Wichmann, H.E., Diehl, V.: The effect of continuous G-CSF application in human cyclic neutropenia: a model analysis. Brit. J. Haematol. 90, 41-47 (1995)
    • (1995) Brit. J. Haematol. , vol.90 , pp. 41-47
    • Schmitz, S.1    Franke, H.2    Wichmann, H.E.3    Diehl, V.4
  • 33
    • 0027852249 scopus 로고
    • Quantification of the cell kinetic effects of G-CSF using a model of human granulopoiesis
    • Schmitz, S., Franke, H., Brusis, J., Wichmann, H.: Quantification of the cell kinetic effects of G-CSF using a model of human granulopoiesis. Exp. Hematol. 31, 755-760 (1993)
    • (1993) Exp. Hematol. , vol.31 , pp. 755-760
    • Schmitz, S.1    Franke, H.2    Brusis, J.3    Wichmann, H.4
  • 34
    • 0029015655 scopus 로고
    • The effect of continuous G-CSF application in human cyclic neutropenia: A model analysis
    • Schmitz, S., Franke, H., Wichmann, H.E., Diehl, V.: The effect of continuous G-CSF application in human cyclic neutropenia: a model analysis. Brit. J. Haematol. 90, 41-47 (1995)
    • (1995) Brit. J. Haematol. , vol.90 , pp. 41-47
    • Schmitz, S.1    Franke, H.2    Wichmann, H.E.3    Diehl, V.4
  • 35
    • 0020064169 scopus 로고
    • Cyclic neutropenia: A clue to the control of granulopoiesis
    • Von Schultess, G.K., Mazer, N.A.: Cyclic neutropenia: A clue to the control of granulopoiesis. Blood 59 (1), 27-37 (1982)
    • (1982) Blood , vol.59 , Issue.1 , pp. 27-37
    • Von Schultess, G.K.1    Mazer, N.A.2
  • 36
    • 0029144044 scopus 로고
    • A biomathematical model of granulocytopoiesis for estimation of stem cell numbers
    • Tibken, B., Hofer, E.P.: A biomathematical model of granulocytopoiesis for estimation of stem cell numbers. Stem Cells 13(suppl 1), 283-289 (1995)
    • (1995) Stem Cells , vol.13 , Issue.1 SUPPL. , pp. 283-289
    • Tibken, B.1    Hofer, E.P.2
  • 38
    • 0001550091 scopus 로고
    • An analysis of granulocyte kinetics in blood and bone marrow
    • Warner, H.R., Athens, J.W.: An analysis of granulocyte kinetics in blood and bone marrow. Ann. N. Y. Acad. Sci. 113, 523-536 (1964)
    • (1964) Ann. N. Y. Acad. Sci. , vol.113 , pp. 523-536
    • Warner, H.R.1    Athens, J.W.2
  • 39
    • 0023695669 scopus 로고
    • A concept of hemopoietic regulation and its biomathematical realization
    • Wichmann, H.E., Loeffler, M., Schmitz, S.: A concept of hemopoietic regulation and its biomathematical realization. Blood Cells 14, 411-429 (1988)
    • (1988) Blood Cells , vol.14 , pp. 411-429
    • Wichmann, H.E.1    Loeffler, M.2    Schmitz, S.3
  • 40
    • 0024523892 scopus 로고
    • Abnormal responses of myeloid progenitor cells to granulocyte-macrophage colony-stimulating factor in human cyclic neutropenia
    • Wright, D.G., LaRussa, V., Salvado, A.J., Knight, R.D.: Abnormal responses of myeloid progenitor cells to granulocyte-macrophage colony-stimulating factor in human cyclic neutropenia. J. Clin. Invest. 83, 1414-1418 (1989)
    • (1989) J. Clin. Invest. , vol.83 , pp. 1414-1418
    • Wright, D.G.1    LaRussa, V.2    Salvado, A.J.3    Knight, R.D.4
  • 41
    • 0142077881 scopus 로고    scopus 로고
    • A mathematical model for reconstitution of granulopoiesis after high dose chemotherapy with autologous stem cell transplantantation
    • DOI 10.1007/s00285-003-0198-6
    • Østby, I., Rusten, L.S., Kvalheim, G., Grøttum, P.: A mathematical model for reconstitution of granulopoiesis after high dose chemotherapy with autologous stem cell transplantantation. J. Math. Biol. 47, 101-136 (2003) DOI 10.1007/s00285-003-0198-6
    • (2003) J. Math. Biol. , vol.47 , pp. 101-136
    • Østby, I.1    Rusten, L.S.2    Kvalheim, G.3    Grøttum, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.