Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Mackey-Glass Equation

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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

Snapshots

Details

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 6: there is a limit cycle with

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send