View source for Mackey-Glass equation

== Relevance to physiology ==

Originally, Mackey and Glass presented equations of the form of Equation
\eqref{mg} to illustrate the appearance of complex dynamics in
physiological control systems by way of bifurcations in the
dynamics. They suggested that many physiological disorders, 
called ''dynamical diseases,'' were characterized by changes in
qualitative features of dynamics (Mackey and Glass 1977; Glass and Mackey 1979). The qualitative changes of
physiological dynamics corresponded mathematically to bifurcations
in the dynamics of the system. The bifurcations in the equation
dynamics could be induced by changes in the parameters of the
system — as might arise from disease or environmental factors,
such as drugs — or changes in the structure of the system.
Subsequently,  a large number of researchers have analyzed
bifurcations in mathematical models of physiological systems and
associated these with the abnormal (pathological) dynamics of
disease. Interesting examples arise in hematology, cardiology,
neurology, and psychiatry (Bélair, Glass, an der Heiden, and Milton, 1995; Milton and Jung, 2003).