This Demonstration shows solutions of the Mackey–Glass equation
for the density,
, of mature circulating white blood cells. The parameter
is the delay between production and maturation and release into the bloodstream of the cells.
THINGS TO TRY
Rotate and Zoom in 3D
The first half of the solution is shown in gray so that you can see how transients decay. The values of
are constant and chosen to be the same as those shown in figure 2 of .
 M. C. Mackey and L. Glass, "Oscillation and Chaos in Physiological Control Systems,"
, pp. 287–289.
Snapshot 1: with
reproduces figure 2(b) in 
Snapshot 2: with
reproduces figure 2(c) in 
Snapshot 3: the same value of
as snapshot 2 in the delay plane
Snapshot 4: shows a very chaotic solution with
Snapshot 5: there is an attractive fixed point
Snapshot 6: there is a limit cycle with
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