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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.
Contributed by: Rob Knapp (March 2011)
Open content licensed under CC BY-NC-SA
The first half of the solution is shown in gray so that you can see how transients decay. The values of , and 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," Science, 197, 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 with
Snapshot 6: there is a limit cycle with