Abstract
Cyclical thrombocytopenia (CT) is a rare hematological disease characterized by periodic oscillations in the platelet count. Although first reported in 1936, the pathogenesis and an effective therapy remain to be identified. Since besides fluctuations in platelet levels the patients hematological profile have been consistently normal, a destabilization of a peripheral control mechanism might play an important role in the genesis of this disorder. In this paper, we investigate through computer simulations the mechanisms underlying the platelet oscillations observed in CT. First, we collected the data published in the last 40 years and quantified the significance of the platelet fluctuations using Lomb-Scargle periodograms. Our analysis reveals that the incidence of the statistically significant periodic data is equally distributed in men and women. The mathematical model proposed in this paper captures the essential features of hematopoiesis and successfully duplicates the characteristics of CT. With the same parameter changes, the model is able to fit the platelet counts and to qualitatively reproduce the TPO oscillations (when data is available). Our results indicate that a variation in the megakaryocyte maturity, a slower rel...Continue Reading
References
Jul 15, 1977·Science·M C Mackey, L Glass
Jan 1, 1979·Bulletin of Mathematical Biology·M C Mackey
Feb 1, 1991·American Journal of Hematology·R RochaW J Harrington
Apr 1, 1989·British Journal of Haematology·A TomerL A Harker
Jul 1, 1995·Mathematical Biosciences·J BélairJ M Mahaffy
Jan 1, 1993·Acta Haematologica·M YanabuK Yasunaga
Apr 16, 1998·Journal of Theoretical Biology·J M MahaffyM C Mackey
Jun 3, 1998·British Journal of Haematology·T NagasawaT Abe
Jun 24, 1998·Journal of Theoretical Biology·T HearnM C Mackey
Mar 2, 1999·British Journal of Haematology·P Fortin, M C Mackey
May 8, 1999·British Journal of Haematology·C S ZentA M Gewirtz
Oct 26, 1999·Pediatrics International : Official Journal of the Japan Pediatric Society·H FuruyamaY Ishikawa
Jun 2, 2000·Journal of Theoretical Biology·C HaurieM C Mackey
Oct 3, 2000·Journal of Theoretical Biology·M SantillánM C Mackey
Jan 5, 2002·American Journal of Hematology·L RiceM Bacile
Dec 11, 2002·British Journal of Haematology·Wolfgang FürederPaul A Kyrle
Jul 10, 2003·Journal of Theoretical Biology·Samuel BernardMichael C Mackey
Jul 27, 2005·American Journal of Hematology·Patrick F FogartyCynthia E Dunbar
Aug 24, 2005·Journal of Theoretical Biology·Catherine FoleyMichael C Mackey
May 13, 1983·Science·S KirkpatrickM P Vecchi
Citations
Mar 5, 2008·Journal of Mathematical Biology·Catherine Foley, Michael C Mackey
Mar 27, 2010·Metabolomics : Official Journal of the Metabolomic Society·A K SmildeJ van der Greef
Jan 17, 2012·Journal of Theoretical Biology·S FischerF Crauste
Sep 13, 2014·Bulletin of Mathematical Biology·David C Dale, Michael C Mackey
Aug 1, 2009·Hematological Oncology·Ranran ZhangThomas P Loughran
Nov 1, 2011·Journal of Theoretical Biology·Changjing ZhugeMichael C Mackey
Nov 26, 2010·Journal of Theoretical Biology·Jinzhi Lei, Michael C Mackey
May 12, 2016·Annual Review of Immunology·Thomas HöferHans-Reimer Rodewald
Apr 10, 2017·Journal of Mathematical Biology·Gabriel P LangloisLiangliang Wang
Jul 29, 2020·Proceedings of the National Academy of Sciences of the United States of America·Christian BächerStephan Gekle
Jul 3, 2020·Chaos·Michael C Mackey
Sep 11, 2016·Journal of Mathematical Biology·Michael C MackeyHans-Otto Walther
Jul 11, 2018·Clinical Case Reports·Gabriel P LangloisMichael C Mackey
Nov 30, 2018·Journal of Theoretical Biology·Changjing ZhugeJinzhi Lei
Aug 17, 2018··Jean ClairambaultCatherine Bonnet