Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts and aetiological implications
Michael C. Mackey
Departments of Physiology, Physics and Mathematics, Centre for Nonlinear Dynamics, McGill University, Montreal, Canada
Search for more papers by this authorMichael C. Mackey
Departments of Physiology, Physics and Mathematics, Centre for Nonlinear Dynamics, McGill University, Montreal, Canada
Search for more papers by this authorAbstract
Of 24 published clinical reports of periodic chronic myelogenous leukaemia (PCML), 21 had sufficient data to analyse for periodicity, and 12 showed significant periodicity ( p 0.05) using the Lomb periodogram. Leucocyte oscillations had periods T ranging from 37 to 83 d. When data were also reported for platelets and reticulocytes there was no significant difference between their periods and those of the leucocytes. These data and their analysis provide strong circumstantial evidence for a haemopoietic stem cell origin of PCML. Namely, the known chromosomal changes in CML patients may, on occasion, also be accompanied by a destabilization resulting in an oscillatory efflux into the leucocyte, platelet and erythrocytic pathways.
References
- 1 Amarante-Mendes, G., Naekyung, K., Liu, L., Huang, Y., Perkins, C., Green, D. & Bhalla, K. (1998) Bcr-abl exerts its antiapoptotic effect against diverse apoptotic stimuli through blockage of mitochondrial release of cytochrome c and activation of caspase-3. Blood, 91, 1700 – 1705.
- 2 Chikkappa, G., Borner, G., Burlington, H., Chanana, A.D., Cronkite, E.P., Öhl, S., Pavelec, M. & Robertson, J.S. (1976) Periodic oscillation of blood leukocytes, platelets, and reticulocytes in a patient with chronic myelocytic leukemia. Blood, 47, 1023 – 1030.
- 3 Clarkson, B., Strife, A., Wisniewski, D., Lambek, C. & Carpino, N. (1997) New understanding of the pathogenesis of CML: a prototype of early neoplasia. Leukemia, 11, 1404 – 1428.
- 4 Delobel, J., Charbord, P., Passa, P. & Bernard, J. (1973) Evolution cyclique spontanée de la leucocytose dans un cas de leucémie myéloide chronique. Nouvelle Revue Française d'Hématologie, 13, 221 – 228.
- 5 Gatti, R.A., Robinson, W.A., Deinard, A.S., Nesbit, M., McCullough, J.J., Ballow, M. & Good, R.A. (1973) Cyclic leukocytosis in chronic myelogenous leukemia: new perspectives on pathogenesis and therapy. Blood, 41, 771 – 782.
- 6 German, H., Smith, J. & Lindenbaum, J. (1976) Chronic intra-vascular coagulation associated with chronic myelocytic leukemia. American Journal of Medicine, 61, 547 – 552.
- 7 Gisslinger, H., Kurzrock, R., Wetzler, M., Tucker, S., Kantarjian, H., Robertson, B. & Talpaz, M. (1997) Apoptosis in chronic myelogenous leukemia: studies of stage-specific differences. Leukemia and Lymphoma, 25, 121 – 123.
- 8 Haurie, C., Dale, D.C. & Mackey, M.C. (1998 a) Cyclical neutropenia and other periodic hematological diseases: a review of mechanisms and mathematical models. Blood, 92, 2629 – 2640.
- 9 Haurie, C., Dale, D.C. & Mackey, M.C. (1998 b) Occurrence of periodic oscillations in the differential blood counts of congenital, idiopathic and cyclical neutropenic patients before and during treatment with G-CSF. Experimental Hematology (in press).
- 10 Iizuka, Y., Horikoshi, A., Sekiya, S., Sawada, U., Ohshima, T. & Amaki, I. (1984) Periodic fluctuation of leukocytes, platelets and reticulocytes in a case of chronic myelocytic leukemia: the relation between leukocyte counts, CFU-C colony formation, CSA and CIA. Acta Haematologica Japanica, 47, 71 – 79.
- 11 Inbal, A., Akstein, E., Barok, I., Meytes, D. & Many, A. (1983) Cyclic leukocytosis and long survival in chronic myeloid leukemia. Acta Hematologica, 69, 353 – 357.
- 12 Jones, J.B., Lange, R.D., Yang, T.J., Vodopick, H. & Jones, E.S. (1975 a) Canine cyclic neutropenia: erythropoietin and platelet cycles after bone marrow transplantation. Blood, 45, 213 – 219.
- 13 Jones, J.B., Yang, T.J., Dale, J.B. & Lange, R.D. (1975 b) Canine cyclic haematopoiesis: marrow transplantation between littermates. British Journal of Haematology, 30, 215 – 223.
- 14 Kennedy, B.J. (1970) Cyclic leukocyte oscillations in chronic myelogenous leukemia during hydroxyurea therapy. Blood, 35, 751 – 760.
- 15 Krance, R.A., Spruce, W.E., Forman, S.J., Rosen, R.B., Hecht, T., Hammond, W.P. & Blume, G. (1982) Human cyclic neutropenia transferred by allogeneic bone marrow grafting. Blood, 60, 1263 – 1266.
- 16 Lomb, N.R. (1976) Least-squares frequency analysis of unequally spaced data. Astrophysics and Space Science, 39, 447 – 462.
- 17 Mackey, M.C. (1978) A unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis. Blood, 51, 941 – 956.
- 18 Mackey, M.C. (1979) Dynamic haematological disorders of stem cell origin. Biophysical and Biochemical Information Transfer in Recognition (ed. by J. G. Vassileva-Popova and E. V. Jensen), pp. 373 – 409. Plenum Publishing Corp., New York.
- 19 Mackey, M.C. (1996) Mathematical models of hematopoietic cell replication control. The Art of Mathematical Modeling: Case Studies in Ecology, Physiology and Biofluids (ed. by H. Othmer, F. Adler, M. Lewis and J. Dallon), pp. 149 – 178. Prentice Hall, New York.
- 20 Maguer-Satta, V., Burl, S., Liu, L., Damen, J., Chahine, H., Krystal, G., Eaves, A. & Eaves, C. (1998) BCR-ABL accelerates c2-ceramide-induced apoptosis. Oncogene, 16, 237 – 248.
- 21 Mastrangelo, R., Stabile, A., Parenti, D. & Cimatti, G. (1976) A specific spontaneous leukocyte cycle in chronic myelogenous leukemia. Tumori, 62, 197 – 204.
- 22
Mastrangelo, R.,
Stabile, A.,
Parenti, D. &
Segni, G. (1974) Spontaneous leukocyte oscillation during blastic crisis of chronic myeloid leukemia.
Cancer, 33, 1610
–
1614.
10.1002/1097-0142(197406)33:6<1610::AID-CNCR2820330621>3.0.CO;2-B CAS PubMed Web of Science® Google Scholar
- 23 Mehta, B. & Agarwal, M. (1980) Cyclic oscillations in leukocyte count in chronic myeloid leukemia. Acta Haematologica, 63, 68 – 70.
- 24 Morley, A.A., Baikie, A. & Galton, D. (1967) Cyclic leukocytosis as evidence for retention of normal homeostatic control in chronic granulocytic leukaemia. Lancet, ii, 1320 – 1322.
- 25 Patt, H.M., Lund, J.E. & Maloney, M.A. (1973) Cyclic hematopoiesis in grey collie dogs: a stem-cell problem. Blood, 42, 873 – 884.
- 26 Press, W., Teukolsky, S., Vetterling, W. & Flannery, B. (1992) Numerical Recipes in C, 2nd edn. Cambridge University Press.
- 27 Rodriguez, A.R. & Lutcher, C.L. (1976) Marked cyclic leukocytosis and leukopenia in chronic myelogenous leukemia. American Journal of Medicine, 60, 1041 – 1047.
- 28 Sattler, M. & Salgia, R. (1997) Activation of hematopoietic growth factor signal transduction pathways by the human oncogene BCR/ABL. Cytokine and Growth Factor Reviews, 8, 63 – 79.
- 29 Scargle, J.D. (1982) Studies in astronomical time series analysis. II. Statistical aspects of spectral analysis of unevenly spaced data. Astrophysical Journal, 263, 835 – 853.
- 30 Seong, D., Thall, P., Kantarjian, H., Talpaz, M., Swantkowski, J., Xu, J., Shen, Y., Glassman, A., Ramagli, L. & Siciliano, M. (1998) Philadelphia chromosome-positive myeloid cells in the peripheral blood of chronic myelogenous leukemia patients: comparison with the frequency detected in cycling cells of the bone marrow. Clinical Cancer Research, 4, 861 – 867.
- 31
Shadduck, R.K.,
Winkelstein, A. &
Nunna, N.G. (1972) Cyclic leukemia cell production in CML.
Cancer, 29, 399
–
401.
10.1002/1097-0142(197202)29:2<399::AID-CNCR2820290221>3.0.CO;2-N CAS PubMed Web of Science® Google Scholar
- 32 Umemura, T., Hirata, J., Kaneko, S., Nishimura, J., Motomura, S., Kozuru, M. & Ibayashi, H. (1986) Periodical appearance of erythropoietin-independent erythropoiesis in chronic myelo-genous leukemia with cyclic oscillation. Acta Haematologica, 76, 230 – 234.
- 33 Vodopick, H., Rupp, E.M., Edwards, C.L., Goswitt, G.A. & Beauchamp, J. (1972) Spontaneous cyclic leukocytosis and thrombocytosis in chronic granulocytic leukemia. New England Journal of Medicine, 286, 284 – 290.
- 34 Weiden, P.L., Robinett, B., Graham, T.C., Adamson, J. & Storb, R. (1974) Canine cyclic neutropenia. Journal of Clinical Investigation, 53, 950 – 953.
- 35 Wright, L., Biggs, S.M. & Kearney, P. (1998) Ex vivo effects associated with the expression of a BCR-ABL-specific ribozyme in a CML cell line. Antisense and Nucleic Acid Drug Development, 8, 15 – 23.
- 36 Yamauchi, K. & Ide, A. (1992) Spontaneous remission with cyclic leukocytosis in chronic myelogenous leukemia. Acta Haematologica, 88, 136 – 138.