McGill.CA / Mathematical Physiology Laboratory / Publications

2010 - 2019

  • 2010: L. Glass & M.C. Mackey. "Mackey-Glass equation", Scholarpedia (2010), 5 (3), 6908.  pdf file
  • 2011: J. Lei & M. C. Mackey. “Multistability in an age-structured model of hematopoisis: Cyclical neutropenia”, J. Theor. Biol. (2011), 270, 143-153. pdf file    
  • 2011: M.C. Mackey. M. Tyran-Kaminska & R. Yvinec. "Molecular distributions in gene regulatory dynamics", J. Theor. Biol. (2011), 274, 84-96.  pdf file   
  • 2011: L. Hilbert, D. Albrecht, & M.C. Mackey. "Small delay, big waves: A minimal delayed negative feedback model captures Escherichia coli single cell SOS kinetics", Mole. BioSys. (2011), 7, 2599-2607.  pdf file
  • 2011: J. Lei & M.C. Mackey. "Deterministic Brownian motion generated from differential delay equations", Phys. Rev. E (2011) 84, 041105-1-14.  pdf file
  • 2011: R. Apostu & M.C. Mackey. "Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae", J. Theor. Biol. (2011) 293, 219-235. pdf file
  • 2012: C. Zhuge, J. Lei & M.C. Mackey. "Neutrophil dynamics in response to chemotherapy and G-CSF", J. Theor. Biol. (2012) 293, 111-120. pdf file
  • 2012: M.C. Mackey & M. Tyran-Kaminska & H.-O. Walther. “The mathematical legacy of Prof. Andrzej Lasota", Wiadomosci Matematyczne (2012), 42, 143-156. pdf file  
  • 2012: G. Brooks, G. Provencher Langlois, J. Lei & M.C. Mackey. Neutrophil dynamics after chemotherapy and G-CSF: The role of pharmacokinetics in shaping the response",  J. Theor. Biol. (2012), 315, 97-109.  pdf file
  • 2013: S.S. Riaz & M.C. Mackey. "Dynamic spatial pattern formation in the sea urchin embryo",   J. Math. Biol. (2013). pdf file.
  • 2013: M.C. Mackey, M. Tyran-Kaminska & R. Yvinec.  "Dynamic behavior of stochastic gene expression models in the presence of bursting". SIAM J. Appl. Math. (2013), 73, 1830-1852. pdf file
  • 2013: M.C. Mackey & M. Santillan.  "Andrew Fielding Huxley (1917-2012)", Notices of the Amer. Math. Soc. (2013), 60, 576-584. pdf file
  • 2013: L. Hilbert, S. Cumarasamy, N.B. Zitouni, M.C. Mackey & A.-M. Lauzon.  "The kinetics of mechanically coupled myosins exhibit group size dependent regimes", Biophy. J. (2013), 105, 1466-1474. pdf file
  • 2013: L. Hilbert, G. Bates, H.N. Roman, J.L. Blumenthal, N.B. Zitouni, A. Sobieszek, M.C. Mackey & A.-M. Lauzon.  "Molecular mechanical differences between isoforms of contractile actin in the presence of isoforms of smooth muscle tropomyosin", PLOS Comp. Biol. (2013), 9, e1003273:1-9. pdf file
  • 2013: J. Lei & M.C. Mackey. "Understanding and treating cytopenia through mathematical modeling" in Systems Biology Approach to Blood (ed. S. Corey, M. Kimmel, J. Leonard), Springer-Verlag (2013). pdf file
  • 2014: R. Yvinec, C Zhuge, J. Lei & M.C. Mackey. "Adiabatic reduction of a model of stochastic gene expression with jump Markov process", J. Math. Biol. (2014), 68, 1051-1070. pdf file. 
  • 2014: M.C. Mackey, M. Santillan, M. Tyran-Kaminska & E.S. Zeron.  "The utility of simple mathematical models in understanding gene regulatory dynamics", In Silico Biology (2014), 12, 23-53. pdf file
  • 2015: L. Hilbert, Z. Balassy, N. B. Zitouni, M.C. Mackey & A.-M. Lauzon. ``Phosphate and ADP differently inhibit coordinated smooth muscle myosin groups", Biophy. J. (2015), 108, 622-631. pdf file
  • 2015: D.C. Dale & M.C. Mackey.  "Understanding, treating and avoiding hematological disease:  Better medicine through mathematics?", Bulletin of Mathematical Biology (2015), 77, 739-757. pdf file 
  • 2015: M.C. Mackey & M. Tyran-Kaminska.  "The limiting dynamics of a bistable molecular switch with and without noise", Journal of Mathematical Biology (published online 2015). pdf file
  • 2015: M.C. Mackey & P.K. Maini.  "What has mathematics done for biology?", Bull. Math. Biol. (2015), 77, 735-738. pdf file
  • 2014: "Deterministic Brownian Motion", Talk to CAMBAM, 2014. pdf file
  • 2015: M. Craig, A.R. Humphries, F. Nekka, J. Belair, J. Li & M.C. Mackey.  "Neutrophil dynamics during concurrent chemotherapy and G-CSF administration:  Mathematical modelling guides dose optimisation to minimize neutropenia", J. Theor. Biol. (2015), 385,  77-89. pdf file
  • 2016: M. Craig, A.R. Humphries & M.C. Mackey. "A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalisation", Bull. Math. Biol. (2016),  78, 2304-2357 pdf file  commentary
  • 2016: J. Self & M.C. Mackey.  "Random numbers from a delay equation", J. Nonlinear Science (2016), DOI 10.1007/s00332-016-9306-9. pdf file
  • 2016: T. Mitre, M.C. Mackey & A. Khadra.  "Mathematical model of galactose regulation and metabolic consumption in yeast", J. Theor. Biol. (2016), 407, 238-258. pdf file
  • 2016: M. Craig, A.R. Humphries & M.C. Mackey. "An upper bound for the half-removal time of neutrophils from the blood", Blood (2016), 128, 1989-1991. pdf file
  • 2016: M.C, Mackey.  “Four open questions in the dynamics of maps and differential delay equations”, CAMBAM talk 20 October, 2016. pdf file
  • 2017: M.C. Mackey, M. Tyran-Kaminska & H.-O. Walther.  "Response of an oscillatory differential delay equation to a single stimulus", J. Math. Biol. (2017), 74, 1139–1196. pdf file
  • 2017: G.P. Langlois, M. Craig, A.R. Humphries, M.C. Mackey, J.M. Mahaffey, J. Belair, T. Moulin, S.R. Sinclair & L. Wang.  "Normal and pathological dynamics of platelets in humans", J. Math. Biol. (2017), 75, 1411-1462. pdf file
  • 2018: G.P. Langlois, D.M. Arnold, J. Potts, B. Leber, D.C. Dale & M.C. Mackey.  “Cyclic thrombocytopenia with statistically signifcant neutrophil oscillations”, Clin. Case Reports. (2018): 00:1-6.  https://doi.org/10.1002/ccr3.1611. pdf file
  • 2018: M. Falfus, M.C. Mackey & M. Tyran-Kaminska.  “The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks”, J. Math. Anal. Applic. (2018). pdf file
  • 2019: D. C. De Souza & M.C. Mackey.  “Response of an oscillatory differential delay equation to a periodic stimulus”,  J. Math. Biol. (2019). https://doi.org/10.1007/s00285-018-1322-y. pdf file
  • 2019: C. G. Steward, S.J. Groves, C.T. Taylor, M.K. Maisenbacher, B.  Versluys, R.A. Newbury-Ecob, H. Ozsahin, M.K. Damin, V.M. Bowen, K.R. McCurdy, M.C. Mackey, A.A. Bolyard & D.C. Dale. “Neutropenia in Barth syndrome: Characteristics, risk and management”,  Curr. Opin. Hematol. (2018): 25:  DOI:10.1097/MOH.0000000000000472. pdf file
  • 2019: C. Zhuge, M.C. Mackey & J. Lei. “Origins of oscillation patterns in cyclical thrombocytopenia”. J. Theor. Biol. (2019), 462, 432-445. pdf file
Back to top