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
Advanced Numerical Differential Equation Solving in
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Ikeda Delay Differential Equation
Nonlinear Wave Equations
Stephen Wolfram and Rob Knapp
Mathematics of Tsunamis
Solving the Cable Equation
Rolling Cylinder with a Hole
Rob Knapp and Theodore Gray
Nonlinear Wave Equation Explorer
Interacting Vortices in a Disk
Version 7 Features
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2017 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have