His research focuses on the development of mathematical models 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.
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. 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, Chinese and Portuguese 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. 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.
Selected articles
M.C. Mackey & L. Glass. "Oscillation and chaos in physiological control systems", Science 197, pp. 287– 289.
M.C. Mackey "A unifed hypothesis for the origin of aplastic anemia and periodic haematopoiesis", Blood 51, pp. 941–956.
L. Glass & M.C. Mackey "Pathological conditions resulting from instabilities in physiological control systems", Ann. N.Y. Acad. Sci. 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. 16, pp. 75–101.
M.C. Mackey & J.G. Milton. "Dynamical diseases", Ann. N.Y. Acad. Sci., 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, 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, 48, pp. 497–509.
M.C. Mackey "The dynamic origin of increasing entropy", Rev. Mod. Phys. 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., 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, 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., 84, pp. 2841–2851.
C. Colijn & M.C. Mackey "A mathematical model of hematopoiesis: I & II", J. Theor. Biol. 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 422, pp. 167–222.
C. Beck & M.C. Mackey "Measurability of vacuum fluctuations and dark energy", Physica A., 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, Nova Science Publisher, Hauppauge, NY.
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., 78, pp. 2304–2357.
