Large-scale Interactive Numerical Experiments of Chaos, Solitons and Fractals in Real Time via GPU in a Web Browser

How to use/interact with the programs

Each program has a Graphical User Interface (GUI) with menus and submenus in the interface. To create excitations anywhere in the tissue in 2D applications, use the mouse/touchpad Click/Drag, whereas in 3D applications, use Ctrl+click/drag with PCs and Command+click/drag with Mac OS. In the lattice-Boltzmann simulations, mouse clicks can be used to add or remove obstacles based on the clicker type that can be chosen from the simulation menu.

The main menus in the GUI are as follows.

• Simulation: press Solve/Pause to start or stop a simulation or Initialize to reinitialize the problem. Change the click radius and more.
• Model parameters: change interactively at any time. For example, it is possible to block or enhance currents or time constants. Some programs have predefined sets of parameters that can be chosen from a drop-down menu.
• Solver parameters: time integration variables, domain size and resolution.
• Display parameters: change the frame rate throttle to slow down or speed up the simulation according to graphics card or visualization speed needs. Colormaps and signal probe location visibility can also be changed, tip-trajectory options can be set through a sub-menu, and many more.
• Save Canvas: save a visualization result as a png image.
• Load XML File/Save: save settings and view points on disk, and view, and reload them when necessary. This feature is specially useful for fractal programs. All the setup files to recreate the fractals in the article are included in the supplementary material.
• Interval caller: make interactive calls to functions; for example, type in env.savePlot2D() in the 3-Variable Minimal Model to save the canvas automatically at a set interval.
• More complex models have many more menus and options. For example, the OVVR model has extensive menus to change the current multipliers, time coefficients, and cell types; record signals; display various currents; save and load parameters, etc.

Fractals

1. The Mandelbrot Set
2. The Polynomial Julia Set
3. The Biomorphs Set

Two Dimensional Models

1. The Barkley Model
2. The FitzHugh-Nagumo Model
3. The Mitchel-Schaffer Model
4. The 3 Variable Fenton-Karma Model
5. The 3 Variable Gray-Pathnamathan Rabbit Model
6. The Beeler-Reuter Model
7. The OVVR Model
8. The Gray Scott Model (Original)
9. The Leopard/Jaguar Model
10. The Wave Equation

Three Dimensional Model

1. The Gray-Pathnamathan Rabbit Model