The Mackey-Glass models, 40 years later
AbstractIn 1977, Michael Mackey and Leon Glass published a short paper thatВ presented and analyzed three delay-differential physiological models, oneВ of which, now known as the Mackey-Glass equation, was shown to generateВ chaotic behavior. This paper also introduced the concept of a dynamicalВ disease. In this perspective article, I attempt to place the Mackey-Glass paperВ andВ a 1979 followup in historical context, and thereby to gain someВ understanding of the very significant influence it has had across theВ sciences. This influence is mapped through a citation analysis, revealingВ both the timelessness of the themes broached in the Glass-Mackey papers, andВ of the broad influence of these papers, far transcending the specificВ scientific problems originally tackled.
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