McGill.CA / Mathematical Physiology Laboratory / Publications

2000 - 2009

 

  • 2000: J. Swinburne & M.C. Mackey. "Cyclical thrombocytopenia: Characterization by spectral analysis and a review", J. Theor. Med. (2000), 2, 81-91. pdf file
  • 2000: 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  
  • 2000: M. Santillan, J.M. Mahaffy, J. Bélair,  & 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  
  • 2000: 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  
  • 2001: 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
  • 2001: J.J. Tyson & M.C. Mackey. "Molecular, metabolic and genetic control: An introduction", Chaos (2001), 11, 81-83.pdf file
  • 2001: M. Santillan & M.C. Mackey. "Dynamic behaviour in mathematical models of the tryptophan operon", Chaos (2001), 11, 261-268. pdf file
  • 2001: M.C. Mackey. "Cell kinetic status of hematopoietic stem cells", Cell Prolif. (2001), 34, 71-83.pdf file
  • 2001: 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
  • 2001: 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
  • 2001: 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
  • 2002: C. 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
  • 2002: A. Fowler & M.C. Mackey. "Relaxation oscillations in a class of delay differential equations ", SIAM J. Appl. Math. (2002), 63, 299-323. pdf file
  • 2003: 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
  • 2003: M. C. Mackey, A.A.G. Aprikyan and D.C. Dale. " The rate of apoptosis in post mitotic neutrophil precursors of normal and neutropenic humans " , Cell Prolif. (2003), 36, 27-34. pdf file
  • 2003: 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
  • 2003: S. Bernard, L. Pujo-Menjouet, and M. C. Mackey. " Analysis of cell kinetics using a cell division marker: Mathemaitical analysis of experimental data ", Biophy. J. (2003), 84, 3414-3424. pdf file
  • 2003: M.C. Mackey, C. Haurie & J. Bélair. "Cell replication and control", Chapter 8 in Nonlinear Dynamics in Physiology and Medicine (eds. A. Beuter, L. Glass, M.C. Mackey & M. Titcombe), Springer-Verlag, New York (2003). chap8_updatethebook.pdf
  • 2003: C. Hauptmann & M.C. Mackey. "Stimulus dependent onset latency of the inhibitory recurrent activity", Biol. Cyber. (2003), 88, 457-459. pdf file
  • 2003: S. Bernard, J. Bélair & M.C. Mackey. ''Oscillations in cyclical neutropenia: New evidence for origins based on mathematical modeling'', J. Theor. Biol. (2003), 223, 283-298. pdf file
  • 2004: M. Santillan & M.C. Mackey. " Why the lysogenic state of lambda phage is so stable: a mathematical modelling approach", Biophy. J. (2004), 86, 75-84. pdf file
  • 2004: 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
  • 2004: S. Bernard, J. Bélair & M.C. Mackey. ''Bifurcations in a white blood cell production model'', Comptes Rendus Biologiques (2004), 327, 201–210. pdf file
  • 2004: L. Pujo-Menjouet & M. C. Mackey. "Contribution to the study of periodic chronic myelogenous leukemia", Comptes Rendus Biologiques (2004), 327, 235–244. pdf file
  • 2004: 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
  • 2004: N.Yildirim, M. Santillan, D. Horike & M.C. Mackey. "Dynamics and bistability in a reduced model of the lactose operon", Chaos (2004), 14(2), 279-292. pdf file
  • 2005: M.C. Mackey & M. Santillán. "Mathematics, biology and physics: interactions and interdependence", Notices of the American Mathematical Society (2005), 52(8), 832-840. pdf file
  • 2005: L. Pujo-Menjouet, S. Bernard, M. C. Mackey. "Long period oscillations in a G0 model of hematopoietic stem cells", SIAM J. Appl. Dynam. Sys. (2005), 4(2), 312-332. pdf file
  • 2005: C. Beck & M. C. Mackey. "Could dark energy be measured in the lab?", Physics Letters B (2005), 605, 295–300. pdf file
  • 2006: S. Bernard, B. Cajavek, L. Pujo-Menjouet, M.C. Mackey, H. Herzel. "Modeling transcriptional feedback loops: The role of Gro/TLE1 in Hes1 oscillations", Phil. Trans. R. Soc. A (2006), 364, 1155-1170 bernard-et-al-hes-2006
  • 2005: M. Santillan, M.C. Mackey. "Dynamic behaviour of the B12 riboswitch", Phys. Biol. (2005), 2, 29–35. pdf file
  • 2005: C. Colijn, M.C. Mackey. "A mathematical model of hematopoiesis: Periodic chronic myelogenous leukemia, part I, J. Theor. Biol. (2005), 237, 117–132 pdf file
  • 2005: C. Colijn, M.C. Mackey. " A mathematical model of hematopoiesis: Cyclical neutropenia", part II, J. Theor. Biol. (2005), 237, 133–146. pdf file
  • 2006: M.C. Mackey & M. Tyran-Kaminska."Deterministic brownian motion: The effects of perturbing a dynamical system by a chaotic semi-dynamical system", Physics Reports (2006), 422, 167–222.PDF icon deter-browsian-2006.pdf
  • 2006: M.C. Mackey, C. Ou, L. Pujo-Menjouet, & J. Wu. "Periodic oscillations of blood cell populations in chronic myelogenous leukemia", SIAM J. Math. Anal. (2006), 38(1), 166–187.PDF icon mcm-pcml-2006.pdf
  • 2006: M. C. Mackey & M. Tyran-Kaminska. "Temporal behavior of the conditional and Gibbs’ entropies", J. Stat. Phys (2006), 124(6). pdf file
  • 2006: M. C. Mackey & M. Tyran-Kaminska. "Noise and conditional entropy evolution", Physica A (2006) 365, 360-382. pdf file
  • 2006: I. Drobnjak, A.C. Fowler & M.C. Mackey. "Oscillations in a maturation model of blood cell production", SIAM J. Appl. Math. (2006), 66(6), 2027–2048 pdf file
  • 2006: C. Colijn, A.C. Fowler & M.C. Mackey. "High frequency spikes in long period blood cell oscillations", J. Math. Biol. (2006), 53(4), 499–519. pdf file
  • 2006: C. Foley, S. Bernard, M.C. Mackey. "Cost-effective G-CSF therapy strategies for cyclical neutropenia: Mathematical modelling based hypotheses", J. Theor. Biol. (2006), 238, 754-763. pdf file
  • 2006: C. Colijn, D.C. Dale, C. Foley & M.C. Mackey. “Observations on the pathophysiology and mechanisms for cyclic neutropenia”, Math. Model. Natur. Phenom. (2006), 1(2) , 45-69. pdf file
  • 2007: J. Lei & M.C. Mackey. "Stochastic differential delay equation, moment stability, and appplication to hematopoietic stem cell regulation system", SIAM J. Appl. Math. (2007), 67(2), 387–407. pdf file
  • 2007: M. Santillan, M.C. Mackey & E.S. Zeron. “Origin of bistability in the lac operon”, Biophy. J. (2007), 92, 3830–3842. pdf file
  • 2007: C. Colijn, C. Foley & M.C. Mackey. “G-CSF treatment of canine cyclical neutropenia: A comprehensive mathematical model”, Exper. Hematol. (2007), 35, 898–907. pdf file
  • 2007: C. Beck & M.C. Mackey. “Zeropoint fluctuations and dark energy in Josephson junctions”, Fluc. Noise. Lett. (2007), 7(2), C27-C35. pdf file
  • 2007: C. Beck & M.C. Mackey. “Measurability of vacuum fluctuations and dark energy”, Physica A (2007), 379, 101–110 pdf file
  • 2007: C. Colijn & M.C. Mackey. "Bifurcation and bistability in a model of hematopoietic regulation", SIAM J. App. Dynam. Sys. (2007), 6(2), 378–394. pdf file
  • 2007: J.G. Rodriguez-Gonzalez, M. Santillan, A.C. Fowler & M.C. Mackey. "The segmentation clock in mice: Interaction between the Wnt and Notch signalling pathways", J. Theor. Biol. (2007), 248, 37-47. pdf fie.
  • 2007: M. C. Mackey. "Adventures in Poland: Having fun and doing research with Andrzej Lasota", Matematyka Stosowana 8 (2007), 8, 5-32. pdf file
  • 2008: M. Santillan, E. S. Zeron, M. C. Mackey. "Systems biology of the tryptophan operon", in Mathematical biology research trends (ed: Lachlan B. Wilson), 2008, pp. 1-19. pdf file
  • 2008: M. Santillan, M. C. Mackey. "A proposed mechanism for the interaction of the segmentation clock and the determination front in somitogenesis", PLoS One (2008), 3(2). pdf file
  • 2008: M.J. Piotrowska, H. Enderling, U. an der Heiden & M.C. Mackey. "Mathematical modeling of stem cells related to cancer", in Cancer and stem cells (eds. T. Dittmar & K. S. Zänker), Nova Science Publisher, Hauppauge, NY (2008, in press). pdf file
  • 2008: M.C. Mackey & M. Tyran-Kaminska. "Dynamics and density evolution in piecewise deterministic growth processes", Annales Polonici Mathematici (2008), 94, 111-129. pdf file
  • 2008: M.C. Mackey & M. Tyran-Kaminska. “Central limit theorems for non-invertible measure preserving maps”, Colloquium Mathematicum (2008), 110, 167-191. pdf file
  • 2008: R. Apostu & M.C. Mackey. "Understanding cyclical thrombocytopenia: A mathematical modeling approach", J. Theor. Biol. (2008), 251, 297–316. pdf file
  • 2008: C. Beck & M.C. Mackey. “Electromagnetic dark energy”, International Journal of Modern Physics D (2008), 17(1), 71–80. pdf file
  • 2008: M. Santillan & M.C. Mackey. "Quantitative approaches to the study of bistability in the lac operon of Escherichia coli", J. R. Soc. Interface (2008) 5, 29–39. pdf file
  • 2008: M.C. Mackey & M. Tyran-Kaminska. “Central limit theorem behavior in the skew tent map”, Chaos, Solitons and Fractals (2008), 38, 789–805. pdf file
  • 2008: M. Santillan & M.C. Mackey. "Dynamic stability versus thermodynamic performance in a simple model for a Brownian motor", Phys. Rev. E (2008) 78, 061122. pdf file
  • 2009: C. Foley & M.C. Mackey. "Dynamic hematological disease: A review", J. Math. Biol. (2009), 58, 285-322.PDF icon foley-mcm-2009.pdf
  • 2009: C. Foley & M.C. Mackey. "Mathematical model for G-CSF administration after chemotherapy", J. Theor. Biol. (2009), 257, 27-44. DOI:10.1016/j.jtbi.2008.09.043. pdf file
  • 2009: M.C. Mackey. Exploring the world with mathematics", Annales Mathematicae Silesianae (2009), 23, 11-42. pdf file
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