Oscillation and chaos in physiological control systems.
First-order nonlinear differential-delay equations describing physiological control systems displaying a broad diversity of dynamical behavior including limit cycle oscillations, with a variety of wave forms, and apparently aperiodic or "chaotic" solutions are studied.
Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics
This is a treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial…
From Clocks to Chaos: The Rhythms of Life
- L. Glass, M. Mackey, P. Zweifel
- Medicine
- 1988
One of the most interesting features of the book is that it makes a start at explaining "dynamical diseases" that are not the result of infection by pathogens but that stem from abnormalities in the timing of essential functions.
Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis.
- M. Mackey
- BiologyBlood
- 1978
It is concluded that the dynamics of PH probably originate in the hematopoietic pluripotential stem cell (PPSC) population, and the simplest hypothesis for the origin of aplastic anemia and PH is that they are both due to the irreversible loss of proliferative stem cells.
Probabilistic properties of deterministic systems
- A. Lasota, M. Mackey
- Mathematics, Computer ScienceActa Applicandae Mathematicae - An International…
- 27 December 1985
The toolbox is opened for Studying chaos with densities, the behaviour of transformations on intervals and manifolds, and Stochastic perturbation of continuous time systems.
Contribution to the study of periodic chronic myelogenous leukemia.
- L. Pujo-Menjouet, M. Mackey
- PhysicsComptes rendus. Biologies
- 1 March 2004
Unified hypothesis for the origin of aplastic anemia and periodic hematopoiesis
- M. Mackey
- Biology
- 1 May 1978
It is concluded that the dynamics of PH probably originate in the hematopoietic pluripotential stem cell (PPSC) population and the simplest hypothesis for the origin of aplastic anemia (AA) and PH is that they are both due to the irreversible loss of proliferative stem cells.
Feedback regulation in the lactose operon: a mathematical modeling study and comparison with experimental data.
- Necmettin Yildirim, M. Mackey
- BiologyBiophysical Journal
- 1 May 2003
Age-structured and two-delay models for erythropoiesis.
- J. Bélair, M. Mackey, J. Mahaffy
- Computer ScienceMathematical Biosciences
- 1 July 1995
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