Here are some examples of a PDE solutions on a domain based on a heart-shaped curve.


Models like FitzHugh–Nagumo are the basis for a lot of work in cardiac electrophysiology and related areas. So let’s solve these PDEs in a heart!


The next example is based on the Keller–Segel model for chemotaxis.

Warm hearted

By plotting vector fields on top of the solutions to PDEs, as exemplified in the heat equation, we can visualise how heat flows from a source as it traces out a heart in this interactive simulation.