The CAIMS*SCMAI Research Prize
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CAIMS*SCMAI Research Prize 2006
Winner and Citation

Dr. Michael C. Mackey, Department of Physiology, McGill University.

Michael C. Mackey, Joseph Morley Drake Professor of Physiology at McGill University, is recognized for his seminal contributions to the advancement of biomathematics, in particular for his groundbreaking efforts to model haematopoiesis, and his co-invention of the concept of  dynamical diseases (abnormalities in the underlying control mechanisms of a physiological system - from a mathematical point of view, a dynamical disease can be interpreted as a bifurcation induced by a change in the value of one or more of the regulating parameters, not in an anatomical dysfunction). In his groundbreaking 1977 Science paper, co-authored with Leon Glass, he introduced the concept, illustrated it on two specific examples, and also provided numerical evidence for irregular oscillations in a first order delay differential equation: this highly original observation eventually lead to the establishment of the so-called Mackey-Glass equation as a paradigmatic chaotic dynamical system (The related Glass-Mackey attractor appeared in 1979 in the Annals of the New York Academy of Sciences as an example of a system in a chaotic regime).

Building from this phenomenological equation, M. Mackey has been expanding, refining and developing models of growing sophistication, realism and complexity to represent the haematopoietic system, training numerous graduate students and postdoctoral fellows along the way. At each step, physiological considerations were paramount in exploiting the similarities as well as the differences in the three lineages : red blood cells, platelets and white blood cells. In reflecting the underlying physiology, these models take the form of systems of stage-structured differential equations, typically reduced to systems of delay differential equations, often with state-dependent delays.

For more than three decades, Dr. Mackey has been keeping a dialogue with experimentalists and clinical investigators to incorporate the most current biological knowledge in his models, most recently, cellular and molecular discoveries on apoptosis and gene regulatory functions.

Dr. Mackey is a Fellow of the Royal Society of Canada. He was an exchange fellow of the Polish Academy of Sciences, a recipient of Forschungspreise by the Alexander von Humboldt Stiftung and the Leverhulm Visiting Professor at the University of Oxford.