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.
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 [1].
[1] 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 [1]
Snapshot 2: with reproduces figure 2(c) in [1]
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]](HTMLImages/index.en/thumbnail_1.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_2.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_3.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_4.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_5.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_6.gif)
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