Please note: The copyrights to these publications are held by their publishers. The pdf files provided here may be used only for single copies for personal use, as though they were reprints provided by mail. They may not be reposted on other web sites or used for any other purpose without the express permission of the appropriate publishers.

• Book Chapters
  
  1. M.C. Mackey. "Mathematical models of hematopoietic cell replication and control", pp. 149-178 in The Art of Mathematical Modelling: Case Studies in Ecology, Physiology and Biofluids (H.G. Othmer, F.R. Adler, M.A. Lewis, and J.C. Dallon eds.) Prentice Hall (1997). pdf file
  
  
  
  2. M.C. Mackey, C. Haurie & J. Bélair. "Cell replication and control", Chapter 9 in Nonlinear Dynamics in Physiology and Medicine (eds. A. Beuter, L. Glass, M.C. Mackey & M. Titcombe), Springer-Verlag, New York (2003).
     
• Papers
  
  1. M.O. Vlad, M.C. Mackey & J. Ross. "A generating functional approach to space and time dependent colored noise", Phys. Rev. E. (1994), 50, 798-821. pdf file
     
     
  2. H. Schwegler and M.C. Mackey. "A simple model for the approach of entropy to thermodynamic equilibrium",J. Phys A: Math. Gen. (1994), 27, 1939-1951. pdf file
     
     
  3. A. Rey & M.C. Mackey. "Transitions and kinematics of reaction-convection fronts in a cell population model", Physica D. (1995), 80, 120-139. pdf file
     
     
  4. M.C. Mackey, & J.G. Milton. "Asymptotic stability of densities in coupled map lattices", Physica D (1995), 80, 1-17. pdf file
     
     
  5. J.M. Mahaffy, J. Bélair, & M.C. Mackey. "Hematopoietic model with moving boundary condition and state dependent delay", J. Theor. Biol. (1998), 190, 135-146. pdf file
     
     
  6. T. Hearn, C. Haurie, & M.C. Mackey. "Cyclical neutropenia and the peripheral control of white blood cell production", J. Theor. Biol. (1998), 192, 167-181. pdf file
     
     
  7. C. Haurie, D.C. Dale, & M.C. Mackey. "Cyclical neutropenia and other periodic hematological disorders: A review of mechanisms and mathematical models", Blood (1998), 92, 2629-2640. pdf file
     
     
  8. A. Lasota & M.C. Mackey. "Statistical stability of strongly perturbed dynamical systems", Fields Institute Communications (1999), 21, 363-376.
     
     
  9. M.C. Mackey & R. Rudnicki. "A new criterion for the global stability of simultaneous cell replication and maturation processes", J. Math. Biol. (1999), 38,195-219. pdf file
     
     
  10. A. Lasota & M.C. Mackey. "Cell division and the stability of cellular replication", J. Math. Biol.. (1999), 38, 241-261 pdf file
      
      
  11. C. Haurie, D.C. Dale, & M.C. Mackey. "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. (1999), 27, 401-409. pdf file
      
      
  12. C. Haurie, R. Person, D.C. Dale, & M.C. Mackey. "Hematopoietic dynamics in grey collies", Exper. Hematol. (1999), 27, 1139-1148. pdf file
      
      
  13. P. Fortin & M.C. Mackey. "Periodic chronic myelogenous leukemia: Spectral analysis of blood cell counts and aetiological implications", Brit. J. Haematol. (1999), 104, 336-345.
      
      
  14. J. Swinburne & M.C. Mackey. "Cyclical thrombocytopenia: Characterization by spectral analysis and a review", J. Theor. Med. (2000), 2, 81-91.
      
      
  15. C. Haurie, D.C. Dale, R. Rudnicki & M.C. Mackey. "Modeling of complex neutrophil dynamics in the grey collie", J. theor. Biol. (2000), 204, 505-519. pdf file
      
      
  16. M. Santillan, J. Bélair, J.M. Mahaffy, & M.C. Mackey. "Regulation of platelet production: The normal response to perturbation and cyclical platelet disease", J. theor. Biol. (2000), 206, 585-603 pdf file
      
      
  17. J.G. Milton & M.C. Mackey. "Neural ensemble coding and statistical periodicity: Speculations on the operation of the mind's eye", J. Physiol. (Paris) (2000), 94, 489-503. pdf file
      
      
  18. M. Santillan & M.C. Mackey. "Dynamic regulation of the tryptophan operon: A modelling study and comparison with data", Proc. Nat. Acad.Sci. (2001), 98, 1364-1369. pdf file and Supplement
      
      
  19. M. Santillan & M.C. Mackey. "Dynamic behaviour in mathematical models of the tryptophan operon", Chaos (2001), 11, 261-268. pdf file
      
      
  20. M.C. Mackey. "Cell kinetic status of hematopoietic stem cells", Cell Prolif. (2001), 34, 71-83. pdf file
      
      
  21. Louise Kold-Andersen & M.C. Mackey. "Resonance in periodic chemotherapy: A case study of acute myelogenous leukemia", J. Theor. Biol. (2001), 209, 113-130. pdf file
      
      
  22. M.C. Mackey. "Microscopic dynamics and the second law of thermodynamics", published in "Time's Arrows, Quantum Measurement and Superluminal Behavior" (eds. C. Mugnai, A. Ranfagni, L.S. Schulman), (2001), Consiglio Nazionale Delle Ricerche (Roma), 49-65. pdf file
      
      
  23. S. Bernard, J. Bélair & M.C. Mackey. "Sufficient conditions for stability of linear differential equations with distributed delay", Cont. and Disc. Dynam. Sys. (2001), 1,233-256. pdf file
      
      
  24. C. W. Eurich, M. C. Mackey & H. Schwegler. " Recurrent Inhibitory Dynamics: The role of state-dependent distributions of conduction delay times", J.theor Biol. (2002), 216, 31-50. pdf file
      
      
  25. A. Fowler & M.C. Mackey. "Relaxation oscillations in a class of delay differential equations ", SIAM J. Appl. Math. (2002), 63, 299-323. pdf file
      
      
  26. C. Hauptmann, H. Touchette & M.C. Mackey. "Information capacity and pattern formation in a tent map network featuring statistical periodicity ", Phys. Rev. E. (2003), 67, 026217. pdf file
      
      
  27. M. C. Mackey, A.A.G. Aprikyan and D.C. Dale. " The rate of apoptosis in post mitotic precursors of normal and neutropenic humans " , Cell Prolif. (2003), 36, 27-33. pdf file
      
      
  28. C. Hauptmann & M.C. Mackey. "Stimulus dependent onset latency of the inhibitory recurrent activity", Biol. Cyber. (2003), 88, 457-459.
      
      
  29. S. Bernard, L. Pujo-Menjouet, and M. C. Mackey. " Analysis of cell kinetics using a cell division marker: Mathemaitical modeling of experimental data ", Biophy. J. (2003), 84, 3414-3424. pdf file
      
      
  30. N. Yildirim & M.C. Mackey." Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data ", Biophy. J. (2003), 84, 2841-2851. pdf file
      
      
  31. S. Bernard, J. Bélair & M.C. Mackey. ''Oscillations in cyclical neutropenia: new evidence based on mathematical modeling'', Journal of Theoretical Biology (2003), 223, 283-298. pdf file
      
      
  32. M. Santillan & M.C. Mackey. " Why the lysogenic state of l phage is so stable: a mathematical modelling approach", Biophy. J. (2004), 86, 75-84. pdf file
      
      
  33. M. Santillan & M.C. Mackey. "Influence of catabolic repression and inducer exclusion on the bistable behavior of the lac operon", Biophy. J. (2004), 86, 1282-1292. pdf file
      
      
  34. S. Bernard, J. Bélair & M.C. Mackey. ''Bifurcations in a white blood cell production model'', Comptes Rendus Biologiques (2004), 327, 201–210. pdf file
      
      
  35. L. Pujo-Menjouet & M. C. Mackey. "Contribution to the study of periodic chronic myelogenous leukemia", Comptes Rendus Biologiques (2004), 327, 235–244. pdf file
      
      
  36. M.C. Mackey, M. Santillan & N. Yildirim. "Modeling operon dynamics: The tryptophan and lactose operon as paradigms", Comptes Rendus Biologiques (2004), 327, 211–224. pdf file
      
      
  37. N.Yildirim, M. Santillan, D. Horike & M.C. Mackey. "Dynamics and bistability in a reduced model of the lactose operon", Chaos (in press).