Portraits of Cell Division

This Demonstration shows the profile of a symmetrically constricting cell as it undergoes cell division. The progress is controlled by the slider parameter . During constriction, this dimensionless parameter varies from (no constriction) to (maximal constriction). The shape of the initial (unconstricted) cell is determined by the dimensionless parameter , with corresponding to prolate (rod-like) cells, to spherical cells and to oblate (disk-like) cells. Constriction at constant polar radius, at constant membrane area and at constant cell volume are represented by the black, red and blue lines, respectively. The cell remains axisymmetric throughout the process.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


[1] E. Beltrán-Heredia, V. G. Almendro-Vedia, F. Monroy and F. J. Cao, "Modeling the Mechanics of Cell Division: Influence of Spontaneous Membrane Curvature, Surface Tension, and Osmotic Pressure," Frontiers in Physiology, 8, 2017 pp. 312–333. doi:10.3389/fphys.2017.00312.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
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
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
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.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
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 Mathematica Player or Mathematica 7+