Delay Equations and Dynamical Disease

  • M.C. Mackey, L. Glass. Oscillation and chaos in physiological control systems. Science 197, 287-289 (1977).

  • L. Glass, A. Beuter, D. Larocque. Time delays, oscillations and chaos in physiological control systems. Mathematical Biosciences 90, 111-125 (1988). pdf file

  • J.G. Milton, A. Longtin, A. Beuter, M.C. Mackey, L. Glass. Complex dynamics and bifurcations in neurology. Journal of Theoretical Biology 138, 129-147 (1989).

  • A. Beuter, D. Larocque, L. Glass. Complex oscillations in a human motor system. Journal of Motor Behavior 21, 277-289 (1989).

  • L. Glass, C.P. Malta. Chaos in multilooped negative feedback systems. Journal of Theoretical Biology 145, 217-223 (1990).

  • A. Beuter, J.G. Milton, C. Labrie, L. Glass, S. Gauthier. Delayed visual feedback and movement control in Parkinson's disease. Experimental Neurology 110, 228-235 (1990).

  • W.Z. Zeng, J. Morissette, R. Brochu, L. Glass, A. Shrier. Complex rhythms resulting from overdrive suppression in electrically stimulated cardiac pacemakers. PACE 13, 1678-1685 (1990).

  • L. Glass. Nonlinear dynamics of physiological function and control. Chaos: An Interdisciplinary Journal of Nonlinear Science 1, 247-250 (1991).

  • J. E. Lewis, L. Glass, M. Bachoo, C. Polosa. Phase resetting and fixed delay stimulation of a simple model of respiratory rhythm generation. Journal of Theoretical Biology 159, 491-506 (1992).

  • J. Bélair, L. Glass, U. an der Heiden, J. Milton. Dynamical disease: Identification, temporal aspects and treatment strategies of human illness. Chaos 5, 1-7 (1995). pdf file

  • A. Beuter, L. Glass. Les maladies dynamiques. Une nouvelle approche de la medécine. Interface 16(2), 28-39 (1995).
  • M. Courtemanche, J.P. Keener, L. Glass.  A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media.  Siam J. Appl. Math., 56, 119-142, 1996.  pdf file

  • A. Kunysz, A. Shrier, L. Glass. Bursting behavior during fixed delay stimulation of spontaneously beating chick heart cell aggregates. American Journal of Physiology 273 (Cell Physiology 42), C331-C346 (1997). pdf file

  • K. Vasilakos, L. Glass, A. Beuter. Interaction of tremor and magnification in a motor performance task with visual feedback. Journal of Motor Behavior 30, 158-168 (1998).

  • A. L. Goldberger, L. A. N. Amaral, L. Glass, J. M. Hausdorff, P. C. Ivanov, R. G. Mark, J. E. Mietus, G. B. Moody, C. K. Peng, H. E. Stanley. PhysioBank, PhysioToolkit, and PhysioNet: Components of a New Research Resource for Complex Physiologic Signals. Circulation, 101, e215-e220 [Circulation Electronic Pages;]; 2000 (June 13). pdf file

  • L. Glass. Synchronization and rhythmic processes in physiology. Nature, 410, 277-284 (2001) (Insight review article). pdf file

  • J.C. Bastos de Figueiredo, L. Diambra, L. Glass, C. P. Malta. Chaos in two-looped negative feedback systems. Physical Review E 65, 051905 (2002). pdf file

  • L. Glass. Chaos in biological systems. In: The Handbook of Brain Theory and Neural Networks, Second Edition, M.A. Arbib, Ed. (2002) 205-208.

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