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https://github.com/datavorous/gray-scott-reaction-diffusion-model
Reaction-Diffusion simulation using the Gray-Scott model, available in both C and web versions. It visualizes various patterns that emerge from the interaction of two virtual chemicals in a 2D grid.
https://github.com/datavorous/gray-scott-reaction-diffusion-model
cpp17 differential-equations graphics open-source opensource raylib simulation
Last synced: 2 days ago
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Reaction-Diffusion simulation using the Gray-Scott model, available in both C and web versions. It visualizes various patterns that emerge from the interaction of two virtual chemicals in a 2D grid.
- Host: GitHub
- URL: https://github.com/datavorous/gray-scott-reaction-diffusion-model
- Owner: datavorous
- License: gpl-3.0
- Created: 2024-07-16T16:25:21.000Z (2 months ago)
- Default Branch: main
- Last Pushed: 2024-07-18T10:39:37.000Z (2 months ago)
- Last Synced: 2024-09-24T21:01:13.561Z (2 days ago)
- Topics: cpp17, differential-equations, graphics, open-source, opensource, raylib, simulation
- Language: C
- Homepage: https://datavorous.github.io/Gray-Scott-Reaction-Diffusion-Model/
- Size: 7.04 MB
- Stars: 3
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# Reaction-Diffusion Simulation
This project implements a Reaction-Diffusion simulation using the Gray-Scott model, available in both C and web versions. It visualizes various patterns that emerge from the interaction of two virtual chemicals in a 2D grid.
## Visual Demonstrations
Mitosis (Animated)
Mitosis (Static)
Coral Growth (Animated)
Coral Pattern (Static)
Spiral Pattern 1
Spiral Pattern 2
## Table of Contents
- [Introduction](#introduction)
- [Features](#features)
- [Versions](#versions)
- [C Version](#c-version)
- [Web Version](#web-version)
- [Mathematical Model](#mathematical-model)
- [Getting Started](#getting-started)
- [Prerequisites](#prerequisites)
- [Installation](#installation)
- [Usage](#usage)
- [Running the Simulation](#running-the-simulation)
- [Controls](#controls)
- [Changing Patterns](#changing-patterns)
- [Project Structure](#project-structure)
- [Building and Running](#building-and-running)
- [Contributing](#contributing)
- [Possible Improvements](#possible-improvements)
- [FAQ](#faq)
- [References](#references)
- [License](#license)
## Introduction
[Reaction-Diffusion systems](#mathematical-model) are mathematical models that describe how the concentration of substances changes in space over time due to local chemical reactions and diffusion. These systems can produce a wide variety of patterns, including spots, stripes, and more complex structures, making them useful for modeling various biological and chemical phenomena.
## Features
- Real-time simulation of the Reaction-Diffusion process
- Multiple pre-defined patterns (see [Changing Patterns](#changing-patterns))
- Interactive controls (see [Controls](#controls))
- Cross-platform support (C and Web versions)
- Easy-to-use build system
## Versions
### C Version
The C version provides a decent-performance simulation using the [Raylib](https://www.raylib.com/) graphics library. It offers:
- Decently fast, real-time rendering
- Platform-native window and controls
- Easy compilation and execution via batch file
[Jump to C installation instructions](#installation)
### Web Version
The web version allows for easy access and sharing of the simulation. Features include:
- Browser-based simulation (no installation required)
- Interactive UI for pattern selection and parameter adjustment
- Responsive design for various screen sizes
[Try the web version now](https://datavorous.github.io/Gray-Scott-Reaction-Diffusion-Model/)
## Mathematical Model
This simulation uses the [Gray-Scott model](#references), defined by the following partial differential equations:
```
∂A/∂t = D_A ∇²A - AB² + f(1-A)
∂B/∂t = D_B ∇²B + AB² - (k+f)B
```
Where:
- A and B are the concentrations of two chemicals
- D_A and D_B are the diffusion rates of A and B
- f is the feed rate
- k is the kill rate
- ∇² is the Laplace operator
## Getting Started
### Prerequisites
- For C version:
- C compiler
- [Raylib](https://www.raylib.com/) graphics library
- For Web version:
- Modern web browser with JavaScript enabled
### Installation
1. Clone the repository:
```
git clone https://github.com/datavorous/Gray-Scott-Reaction-Diffusion-Model.git
```
2. For C version, install Raylib following the instructions on their [website](https://www.raylib.com/).
3. The web version requires no additional installation.
## Usage
### Running the Simulation
#### C Version
Navigate and run the `build.bat` file, after placing the `libraylib.a` file inside the `lib/` folder. This will compile and run the simulation.
#### Web Version
Open the `index.html` file in your web browser, or visit the [online demo](https://datavorous.github.io/Gray-Scott-Reaction-Diffusion-Model/).
### Controls
- Left-click: Add chemical B to the simulation
- Spacebar: Pause/unpause the simulation
- Enter key: Reset the grid
### Changing Patterns
To change patterns in the C version, modify the `f` and `k` values in the `main.cpp` file according to this table:
| Pattern | f | k |
|----------------|---------|---------|
| Mitosis | 0.0367 | 0.0649 |
| Coral Growth | 0.0545 | 0.062 |
| Fingerprint | 0.055 | 0.062 |
| ... (and so on) | | |
In the web version, use the dropdown menu to select different patterns.
## Project Structure
```
reaction-diffusion-simulation/
├── bin/
│ └── Makefile
├── include/
├── lib/
├── src/
│ └── main.cpp
├── build.bat
├── index.html
└── README.md
```
## Building and Running
1. Navigate to the `bin` folder
2. Double-click `build.bat` or run it from the command line
3. The script will compile the code and launch the simulation
## Contributing
We welcome contributions to the Reaction-Diffusion Simulation project! Here's how you can help:
### Quick Start
1. Fork the repo and create your branch from `main`.
2. Make your changes, adhering to the best practises.
3. Ensure your code passes all tests.
4. Submit a pull request.
### Reporting Issues
- Check existing issues before creating a new one.
- Provide detailed information: version, OS, steps to reproduce, expected vs. actual behavior.
### Coding Standards
- Use the accepted and standard procedure for a given language.
- Use 4 spaces for indentation.
- Write clear, well-commented code.
### Commit Messages
Follow the [Conventional Commits](https://www.conventionalcommits.org/) specification:
```
type(scope): brief description
Longer description if necessary
Closes #123
```
### Testing
- Write unit tests for new features or bug fixes.
- Ensure all tests pass before submitting a PR.
### Documentation
- Update README.md and comments for significant changes.
## Possible Improvements
1. Implement real-time parameter adjustment in C version
2. Add option to switch between different models
3. More liquids?
4. Optimize for larger grids using GPU acceleration
5. Implement more complex reaction-diffusion systems
## FAQ
Q: Why does the simulation slow down with larger grids?
A: The computational complexity increases with grid size. Consider lowering the resolution or using a more powerful machine.
## References
1. [Pearson, J. E. (1993). Complex Patterns in a Simple System. Science, 261(5118), 189-192.](https://science.sciencemag.org/content/261/5118/189)
2. [Turing, A. M. (1952). The Chemical Basis of Morphogenesis. Philosophical Transactions of the Royal Society B, 237(641), 37-72.](https://royalsocietypublishing.org/doi/10.1098/rstb.1952.0012)
## License
This project is licensed under the GNU General Public License v3.0 - see the [LICENSE](LICENSE) file for details.
---
**Note**: This project is for educational purposes only. It does not claim to accurately represent real-world chemical or biological processes.