메뉴 건너뛰기




Volumn 251, Issue 2, 2008, Pages 297-316

Understanding cyclical thrombocytopenia: A mathematical modeling approach

Author keywords

Cyclical thrombocytopenia; Delay differential equations; Mathematical model; Platelet oscillations; Spectral data analysis

Indexed keywords

COMPUTER SIMULATION; DISEASE; HEMATOLOGY; NUMERICAL MODEL; SPECTRAL ANALYSIS;

EID: 39649097830     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2007.11.029     Document Type: Article
Times cited : (33)

References (57)
  • 1
    • 39649094815 scopus 로고    scopus 로고
    • Apostu, R., 2007. Understanding cyclical thrombocytopenia: a mathematical modeling approach. Master's thesis, Department of Mathematics and Statistics, McGill University.
    • Apostu, R., 2007. Understanding cyclical thrombocytopenia: a mathematical modeling approach. Master's thesis, Department of Mathematics and Statistics, McGill University.
  • 2
    • 0017360360 scopus 로고
    • Garcia's disease: cyclic thrombocytopenic purpura in a child and abnormal platelet counts in his family
    • Aranda E., and Dorantes S. Garcia's disease: cyclic thrombocytopenic purpura in a child and abnormal platelet counts in his family. Scand. J. Haematol. 18 (1977) 39-46
    • (1977) Scand. J. Haematol. , vol.18 , pp. 39-46
    • Aranda, E.1    Dorantes, S.2
  • 3
    • 0000268882 scopus 로고
    • A model for the regulation of mammalian platelet
    • Bélair J., and Mackey M.C. A model for the regulation of mammalian platelet. Ann. N.Y. Acad. Sci. 504 (1987) 280-282
    • (1987) Ann. N.Y. Acad. Sci. , vol.504 , pp. 280-282
    • Bélair, J.1    Mackey, M.C.2
  • 4
    • 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
  • 5
    • 0037678721 scopus 로고    scopus 로고
    • Oscillations in cyclical neutropenia: New evidence based on mathematical modeling
    • 10.1016/S0022-5193(03)00090-0
    • Bernard S., Bélair J., and Mackey M.C. Oscillations in cyclical neutropenia: New evidence based on mathematical modeling. J. Theor. Biol. 223 (2003) 283-298 10.1016/S0022-5193(03)00090-0
    • (2003) J. Theor. Biol. , vol.223 , pp. 283-298
    • Bernard, S.1    Bélair, J.2    Mackey, M.C.3
  • 7
    • 0016606386 scopus 로고
    • The relation of thrombokinetics to bone marrow megakaryocytes in ideopathic thrombocytopenic purpura (ITP)
    • Branehog I., Kutti J., Ridell B., Swolin B., and Weinfeld A. The relation of thrombokinetics to bone marrow megakaryocytes in ideopathic thrombocytopenic purpura (ITP). Blood 45 (1975) 552-562
    • (1975) Blood , vol.45 , pp. 552-562
    • Branehog, I.1    Kutti, J.2    Ridell, B.3    Swolin, B.4    Weinfeld, A.5
  • 9
    • 0015954794 scopus 로고
    • Cyclic thrombocytopenia. Case report and review of literature
    • Cohen T., and Cooney D.P. Cyclic thrombocytopenia. Case report and review of literature. Scand. J. Haematol. 12 (1974) 9-17
    • (1974) Scand. J. Haematol. , vol.12 , pp. 9-17
    • Cohen, T.1    Cooney, D.P.2
  • 10
    • 26044442893 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis: Cyclical neutropenia, part II
    • 10.1016/j.jtbi.2005.03.034
    • Colijn C., and Mackey M.C. A mathematical model of hematopoiesis: Cyclical neutropenia, part II. J. Theor. Biol. 237 (2005) 133-146 10.1016/j.jtbi.2005.03.034
    • (2005) J. Theor. Biol. , vol.237 , pp. 133-146
    • Colijn, C.1    Mackey, M.C.2
  • 11
    • 26044443571 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis: Periodic chronic myelogenous leukemia, part I
    • 10.1016/j.jtbi.2005.03.033
    • Colijn C., and Mackey M.C. A mathematical model of hematopoiesis: Periodic chronic myelogenous leukemia, part I. J. Theor. Biol. 237 (2005) 117-132 10.1016/j.jtbi.2005.03.033
    • (2005) J. Theor. Biol. , vol.237 , pp. 117-132
    • Colijn, C.1    Mackey, M.C.2
  • 12
    • 39649091518 scopus 로고    scopus 로고
    • Bifurcation and bistability in a model of hematopoietic regulation
    • Colijn C., and Mackey M.C. Bifurcation and bistability in a model of hematopoietic regulation. SIAM J. Appl. Dynam. Sys. 6 (2007) 378-394
    • (2007) SIAM J. Appl. Dynam. Sys. , vol.6 , pp. 378-394
    • Colijn, C.1    Mackey, M.C.2
  • 13
    • 0013864335 scopus 로고
    • Periodic thrombocytopenia or tidal platelet dysgenesis in a man
    • Engstrom K., Lundquist A., and Soderstrom N. Periodic thrombocytopenia or tidal platelet dysgenesis in a man. Scand. J. Haemat. 3 (1966) 290-292
    • (1966) Scand. J. Haemat. , vol.3 , pp. 290-292
    • Engstrom, K.1    Lundquist, A.2    Soderstrom, N.3
  • 15
    • 23244454229 scopus 로고    scopus 로고
    • Large granular lymphocytic proliferation-associated cyclic thrombocytopenia
    • Fogarty P.F., Stetler-Stevenson M., Pereira A., and Dunbar C.E. Large granular lymphocytic proliferation-associated cyclic thrombocytopenia. Am. J. Hematol. 79 (2005) 334-336
    • (2005) Am. J. Hematol. , vol.79 , pp. 334-336
    • Fogarty, P.F.1    Stetler-Stevenson, M.2    Pereira, A.3    Dunbar, C.E.4
  • 16
    • 31744445362 scopus 로고    scopus 로고
    • Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses
    • 10.1016/j.jtbi.2005.06.021
    • Foley C., Bernard S., and Mackey M.C. Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses. J. Theor. Biol. 238 (2006) 754-763 10.1016/j.jtbi.2005.06.021
    • (2006) J. Theor. Biol. , vol.238 , pp. 754-763
    • Foley, C.1    Bernard, S.2    Mackey, M.C.3
  • 17
    • 0032956844 scopus 로고    scopus 로고
    • Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts and aetiological implications
    • Fortin P., and Mackey M.C. Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts and aetiological implications. Brit. J. Haematol. 104 (1999) 336-345
    • (1999) Brit. J. Haematol. , vol.104 , pp. 336-345
    • Fortin, P.1    Mackey, M.C.2
  • 21
    • 9644260825 scopus 로고    scopus 로고
    • Ideopathic cyclic thrombocytopenia
    • Go R.S. Ideopathic cyclic thrombocytopenia. Blood Rev. 19 (2005) 53-59
    • (2005) Blood Rev. , vol.19 , pp. 53-59
    • Go, R.S.1
  • 22
    • 0032532631 scopus 로고    scopus 로고
    • Cyclical neutropenia and other periodic hematological diseases: A review of mechanisms and mathematical models
    • Haurie C., Dale D.C., and Mackey M.C. Cyclical neutropenia and other periodic hematological diseases: A review of mechanisms and mathematical models. Blood 92 (1998) 2629-2640
    • (1998) Blood , vol.92 , pp. 2629-2640
    • Haurie, C.1    Dale, D.C.2    Mackey, M.C.3
  • 23
    • 0033052104 scopus 로고    scopus 로고
    • Occurrence of periodic oscillations in the differential blood counts of congenital, ideopathic and cyclical neutropenic patients before and during treatment with G-CSF
    • Haurie C., Dale D.C., and Mackey M.C. Occurrence of periodic oscillations in the differential blood counts of congenital, ideopathic and cyclical neutropenic patients before and during treatment with G-CSF. Exp. Hematol. 27 (1999) 401-409
    • (1999) Exp. Hematol. , vol.27 , pp. 401-409
    • Haurie, C.1    Dale, D.C.2    Mackey, M.C.3
  • 24
    • 0034697629 scopus 로고    scopus 로고
    • Modeling complex neutrophil dynamics in the Grey Collie
    • 10.1006/jtbi.2000.2034
    • Haurie C., Dale D.C., Rudnicki R., and Mackey M.C. Modeling complex neutrophil dynamics in the Grey Collie. J. Theor. Biol. 204 (2000) 505-519 10.1006/jtbi.2000.2034
    • (2000) J. Theor. Biol. , vol.204 , pp. 505-519
    • Haurie, C.1    Dale, D.C.2    Rudnicki, R.3    Mackey, M.C.4
  • 25
    • 0032554934 scopus 로고    scopus 로고
    • Cyclical neutropenia and the peripheral control of white blood cell production
    • Hearn T., Haurie C., and Mackey M.C. Cyclical neutropenia and the peripheral control of white blood cell production. J. Theor. Biol. 192 (1998) 167-181
    • (1998) J. Theor. Biol. , vol.192 , pp. 167-181
    • Hearn, T.1    Haurie, C.2    Mackey, M.C.3
  • 26
    • 0028836758 scopus 로고
    • Cyclical thrombocytopenia successfully treated with low dose hormonal contraception
    • Helleberg C. Cyclical thrombocytopenia successfully treated with low dose hormonal contraception. Am. J. Hematol. 48 (1995) 62-63
    • (1995) Am. J. Hematol. , vol.48 , pp. 62-63
    • Helleberg, C.1
  • 27
    • 0024324173 scopus 로고
    • Acquired cyclical amegakaryocytic thrombocytopenia associated with an immunoglobulin blocking the action of granulocytemacrophage colony-stimulating factor
    • Hoffman R., Briddell R., van Besien K., Srour E., Guscar T., Hudson N., and Ganser A. Acquired cyclical amegakaryocytic thrombocytopenia associated with an immunoglobulin blocking the action of granulocytemacrophage colony-stimulating factor. N. Engl. J. Med. 312 (1989) 97-102
    • (1989) N. Engl. J. Med. , vol.312 , pp. 97-102
    • Hoffman, R.1    Briddell, R.2    van Besien, K.3    Srour, E.4    Guscar, T.5    Hudson, N.6    Ganser, A.7
  • 28
    • 0000352947 scopus 로고
    • A prescription for period analysis of unevenly sampled time series
    • Horne J.H., and Baliunas S.L. A prescription for period analysis of unevenly sampled time series. Astrophys. J. 302 (1986) 757-763
    • (1986) Astrophys. J. , vol.302 , pp. 757-763
    • Horne, J.H.1    Baliunas, S.L.2
  • 29
    • 0030016135 scopus 로고    scopus 로고
    • Cyclic change of cytokines in a patient with cyclical thrombocytopenia
    • Kimura F., Nakamura Y., Sato K., and Wakimoto N. Cyclic change of cytokines in a patient with cyclical thrombocytopenia. Brit. J. Haematol. 94 (1996) 171-174
    • (1996) Brit. J. Haematol. , vol.94 , pp. 171-174
    • Kimura, F.1    Nakamura, Y.2    Sato, K.3    Wakimoto, N.4
  • 30
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • Kirkpatrick S., Gelatt C.D., and Vecchi M.P. Optimization by simulated annealing. Science 220 (1983) 671-680
    • (1983) Science , vol.220 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt, C.D.2    Vecchi, M.P.3
  • 32
    • 0016202719 scopus 로고
    • Cyclical thrombocytopenia: a thrombopoietin deficiency?
    • Lewis M.L. Cyclical thrombocytopenia: a thrombopoietin deficiency?. J. Clin. Path. 27 (1974) 242-246
    • (1974) J. Clin. Path. , vol.27 , pp. 242-246
    • Lewis, M.L.1
  • 33
    • 33748319101 scopus 로고
    • Least-squares frequency analysis of unequally spaced data
    • Lomb N.R. Least-squares frequency analysis of unequally spaced data. Astrophys. Space Sci. 39 (1976) 447-462
    • (1976) Astrophys. Space Sci. , vol.39 , pp. 447-462
    • Lomb, N.R.1
  • 34
    • 0018138249 scopus 로고
    • Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis
    • Mackey M.C. Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis. Blood 51 (1978) 941-956
    • (1978) Blood , vol.51 , pp. 941-956
    • Mackey, M.C.1
  • 35
    • 0018570535 scopus 로고
    • Periodic auto-immune hemolytic anemia: An induced dynamical disease
    • Mackey M.C. Periodic auto-immune hemolytic anemia: An induced dynamical disease. Bull. Math. Biol. 41 (1979) 829-834
    • (1979) Bull. Math. Biol. , vol.41 , pp. 829-834
    • Mackey, M.C.1
  • 36
    • 0035030264 scopus 로고    scopus 로고
    • Cell kinetic status of hematopoietic stem cells
    • Mackey M.C. Cell kinetic status of hematopoietic stem cells. Cell Prolif. 34 (2001) 71-83
    • (2001) Cell Prolif. , vol.34 , pp. 71-83
    • Mackey, M.C.1
  • 37
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • Mackey M.C., and Glass L. Oscillation and chaos in physiological control systems. Science 197 (1977) 287-289
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 38
    • 0032554028 scopus 로고    scopus 로고
    • Hematopoietic model with moving boundary condition and state dependent delay: Applications in erythropoiesis
    • Mahaffy J.M., Bélair J., and Mackey M.C. Hematopoietic model with moving boundary condition and state dependent delay: Applications in erythropoiesis. 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
  • 40
    • 9644252596 scopus 로고
    • Pupura hemorragica with lymphocytosis: an acute type and an interminent menstrual type
    • Minot G.S. Pupura hemorragica with lymphocytosis: an acute type and an interminent menstrual type. Am. J. Med. Sci. 192 (1936) 445-456
    • (1936) Am. J. Med. Sci. , vol.192 , pp. 445-456
    • Minot, G.S.1
  • 41
    • 0014514599 scopus 로고
    • A platelet cycle in normal individuals
    • Morley A. A platelet cycle in normal individuals. Aust. Ann. Med. 18 (1969) 127-129
    • (1969) Aust. Ann. Med. , vol.18 , pp. 127-129
    • Morley, A.1
  • 42
    • 7144229346 scopus 로고    scopus 로고
    • Serum thrombopoietin level is mainly regulated by megakaryocyte mass rather than platelet mass in human subjects
    • Nagasawa T., Hasegawa Y., Kamoshita M., et al. Serum thrombopoietin level is mainly regulated by megakaryocyte mass rather than platelet mass in human subjects. Brit. J. Haematol. 101 (1998) 242-244
    • (1998) Brit. J. Haematol. , vol.101 , pp. 242-244
    • Nagasawa, T.1    Hasegawa, Y.2    Kamoshita, M.3
  • 44
    • 24344441267 scopus 로고    scopus 로고
    • Long period oscillations in a g0 model of hematopoietic stem cells
    • Pujo-Menjouet L., Bernard S., and Mackey M.C. Long period oscillations in a g0 model of hematopoietic stem cells. SIAM J. Appl. Dynam. Sys. 4 2 (2005) 312-332
    • (2005) SIAM J. Appl. Dynam. Sys. , vol.4 , Issue.2 , pp. 312-332
    • Pujo-Menjouet, L.1    Bernard, S.2    Mackey, M.C.3
  • 45
    • 0034781155 scopus 로고    scopus 로고
    • Rice, L., Nichol, J.L., McMillan, R., Roskos, L.K., Bacile, M., 2001. Cyclic immune thrombocytopenia responsive to thrombopoietic factor therapy. Am. J. Hematol. 68, 210-214.
    • Rice, L., Nichol, J.L., McMillan, R., Roskos, L.K., Bacile, M., 2001. Cyclic immune thrombocytopenia responsive to thrombopoietic factor therapy. Am. J. Hematol. 68, 210-214.
  • 48
    • 0034699773 scopus 로고    scopus 로고
    • Regulation of platelet production: the normal response to perturbation and cyclical platelet disease
    • 10.1006/jtbi.2000.2149
    • Santillán M., Bélair J., Mahaffy J.M., and Mackey M.C. Regulation of platelet production: the normal response to perturbation and cyclical platelet disease. J. Theor. Biol. 206 (2000) 585-603 10.1006/jtbi.2000.2149
    • (2000) J. Theor. Biol. , vol.206 , pp. 585-603
    • Santillán, M.1    Bélair, J.2    Mahaffy, J.M.3    Mackey, M.C.4
  • 49
    • 0001135997 scopus 로고
    • Studies in astronomical time series analysis, II. Statistical aspects of spectral analysis of unevenly spaced data
    • Scargle J.D. Studies in astronomical time series analysis, II. Statistical aspects of spectral analysis of unevenly spaced data. Astrophys. J. 263 (1982) 835-853
    • (1982) Astrophys. J. , vol.263 , pp. 835-853
    • Scargle, J.D.1
  • 50
    • 0000723020 scopus 로고
    • A metabolic study of a patient with ideopatic cyclical thrombocytopenic purpura
    • Skoog W., Lawrence J.S., and Adams W.S. A metabolic study of a patient with ideopatic cyclical thrombocytopenic purpura. Blood 12 (1957) 844-856
    • (1957) Blood , vol.12 , pp. 844-856
    • Skoog, W.1    Lawrence, J.S.2    Adams, W.S.3
  • 51
    • 0003108750 scopus 로고    scopus 로고
    • Cyclical thrombocytopenia: Characterisation by spectral analysis and a review
    • Swinburne J., and Mackey M.C. Cyclical thrombocytopenia: Characterisation by spectral analysis and a review. J. Theor. Med. 2 (2000) 81-91
    • (2000) J. Theor. Med. , vol.2 , pp. 81-91
    • Swinburne, J.1    Mackey, M.C.2
  • 53
    • 0022639109 scopus 로고
    • Oscillating platelet counts in healthy individuals: Experimental investigation and quantitative evaluation of thrombocytopenic feedback control
    • Von Schulthess G.K., and Gessner U. Oscillating platelet counts in healthy individuals: Experimental investigation and quantitative evaluation of thrombocytopenic feedback control. Scand. J. Haematol. 36 (1986) 473-479
    • (1986) Scand. J. Haematol. , vol.36 , pp. 473-479
    • Von Schulthess, G.K.1    Gessner, U.2
  • 54
    • 0014178344 scopus 로고
    • Cyclical thrombocytopenia of acute type
    • Wasastjerna C. Cyclical thrombocytopenia of acute type. Scand. J. Haemat. 4 (1967) 380-384
    • (1967) Scand. J. Haemat. , vol.4 , pp. 380-384
    • Wasastjerna, C.1
  • 55
    • 0014006343 scopus 로고
    • Ideopathic cyclical acute thrombocytopenic purpura
    • Wilkinson T., and Firkin B. Ideopathic cyclical acute thrombocytopenic purpura. Med. J. Aust. 1 (1966) 217-219
    • (1966) Med. J. Aust. , vol.1 , pp. 217-219
    • Wilkinson, T.1    Firkin, B.2
  • 56
    • 0027183281 scopus 로고
    • Periodic production of antiplatelet autoantibody directed against GPIIIa in cyclic thrombocytopenia
    • Yanabu M., Nomura S., Kukuroi T., et al. Periodic production of antiplatelet autoantibody directed against GPIIIa in cyclic thrombocytopenia. Acta Haematol. 89 (1993) 155-159
    • (1993) Acta Haematol. , vol.89 , pp. 155-159
    • Yanabu, M.1    Nomura, S.2    Kukuroi, T.3
  • 57
    • 0032929103 scopus 로고    scopus 로고
    • Relationship between megakaryocyte mass and serum thrombopoietin levels as revealed by a case of cyclic amegakaryocytic thrombocytopenic purpura
    • Zent C.S., Ratajczak J., Ratajczak M.Z., Anastasi J., Hoffman P.C., and Gewirtz A.M. Relationship between megakaryocyte mass and serum thrombopoietin levels as revealed by a case of cyclic amegakaryocytic thrombocytopenic purpura. Brit. J. Haematol. 105 (1999) 452-458
    • (1999) Brit. J. Haematol. , vol.105 , pp. 452-458
    • Zent, C.S.1    Ratajczak, J.2    Ratajczak, M.Z.3    Anastasi, J.4    Hoffman, P.C.5    Gewirtz, A.M.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.