Michael Mackey

Michael C. Mackey FRSC is a Canadian-American biomathematician and Professor in the Department of Physiology who holds the Joseph Morley Drake Emeritus Chair in Physiology at McGill University in Montreal, Quebec, Canada.^[1][2]

Biography[]

He received a Bachelor of Arts (BA, 1963) in Mathematics from the University of Kansas and completed a Doctor of Philosophy (Ph.D., 1968) in Physiology and Biophysics at the University of Washington.^[1]

He became a professor in the Department of Physiology at McGill University, as well as Director of the Centre for Applied Mathematics in Bioscience and Medicine and the Mathematical Physiology Laboratory.^[3]

In 1999, he was received as a fellow of the Royal Society of Canada in the Academy of Science. He is a Fellow of the American Physical Society (2006), Society for Industrial and Applied Mathematics (SIAM, 2009) and the Society for Mathematical Biology (2017). He was awarded a Forschungspreise by the Alexander von Humboldt Foundation at Bremen University in 1987, and a Doctorat honoris causa by the Universite de Lyon in 2010, and was the Leverhulme Professor of Mathematical Biology at University of Oxford in 2001-2002.

Research[]

His research focuses on the development of mathematical models, such as the Mackey-Glass equations, to describe physiological processes at the cellular and molecular levels as well as foundational questions in physics related to the nature of irreversibility and the arrow of time.^[1]

Publications[]

Books[]

• M.C. Mackey. Ion Transport Through Biological Membranes: An Integrated Theoretical Approach, Springer-Verlag, Berlin, Heidelberg, New York, 1975.
• A. Lasota & M.C. Mackey. Probabilistic Properties of Deterministic Systems, Cambridge University Press, New York-Cambridge, 1985.
• L. Rensing, U. an der Heiden & M.C. Mackey (eds). Temporal Disorder in Human Oscillatory Systems, Springer-Verlag, New York, Berlin, Heidelberg, 1987.
• L. Glass & M.C. Mackey. From Clocks to Chaos: The Rhythms of Life. Princeton University Press, 1988. Russian (1991), Chinese (1995) and Portuguese (1997) translations appeared.
• M.C. Mackey. Time's Arrow: The Origins of Thermodynamic Behaviour. Springer-Verlag, 1992. Reprinted by Dover Publications, 2003.
• A. Lasota & M.C. Mackey. Chaos, Fractals and Noise: Stochastic Aspects of Dynamics. Springer-Verlag, 1994.
• A. Beuter, L. Glass, M. C. Mackey & M. Titcombe (eds). Nonlinear Dynamics in Physiology and Medicine. Springer Verlag, 2003.
• M.C. Mackey, M. Santillan, M. Tyran-Kaminska & E.S. Zeron. Simple Mathematical Models of Gene Regulatory Dynamics. Springer-Verlag, 2016.
• J. Losson, M.C. Mackey, R. Taylor & M. Tyran-Kaminska. Density evolution under delayed dynamics: An open problem. Fields Institutes Monographs, Springer-Verlag, (2020).

Selected articles[]

• M.C. Mackey & L. Glass. "Oscillation and chaos in physiological control systems", Science (1977) 197, pp. 287– 289.
• M.C. Mackey "A unified hypothesis for the origin of aplastic anemia and periodic haematopoiesis", Blood (1978) 51, pp. 941–956.
• L. Glass & M.C. Mackey "Pathological conditions resulting from instabilities in physiological control systems", Ann. N.Y. Acad. Sci. (1979) 316, pp. 214–235.
• U. an der Heiden & M.C. Mackey "The dynamics of production and destruction: Analytic insight into complex behaviour", J. Math. Biol. (1982) 16, pp. 75–101.
• M.C. Mackey & J.G. Milton. "Dynamical diseases", Ann. N.Y. Acad. Sci. (1987), 504, pp. 16–32.
• U. an der Heiden & M.C. Mackey "Mixed feedback: A paradigm for regular and irregular oscillations", in Temporal Disorder in Human Oscillatory Systems (eds. L. Rensing, U. an der Heiden, and M.C. Mackey), Springer- Verlag, New York, Berlin, Heidelberg 1987, pp 30–36.
• M.C. Mackey "Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors", J. Econ. Theory (1989), 48, pp. 497–509.
• M.C. Mackey "The dynamic origin of increasing entropy", Rev. Mod. Phys. (1989) 61, pp. 981–1016.
• J.M. Mahaffy, J. Belair, & M.C. Mackey "Hematopoietic model with moving boundary condition and state dependent delay", J. Theor. Biol. (1998), 190, pp. 135–146.
• 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, pp. 2629–2640.
• N. Yildirim & M.C. Mackey "Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data", Biophy. J. (2003), 84, pp. 2841–2851.
• C. Colijn & M.C. Mackey "A mathematical model of hematopoiesis: I & II", J. Theor. Biol. (2005) 237, pp. 117–146.
• M.C. Mackey & M. Tyran-Kaminska "Deterministic Brownian Motion: The effects of perturbing a dynamical system by a chaotic semi-dynamical system", Phys. Reports (2006) 422, pp. 167–222.
• C. Beck & M.C. Mackey "Measurability of vacuum fluctuations and dark energy", Physica A. (2007), 379, pp. 101–110.
• 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).
• 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, pp. 2304–2357.
• M.C. Mackey & M. Tyran-Kaminska. "How can we describe density evolution under delayed dynamics?", Chaos (2021), 31, https://doi.org/10.1063/5.0038310

References[]

Internal link[]

• Joseph Morley Drake