2024Research & Mathematics
Tumor-Immune Dynamics Model
An interactive web platform for exploring the Nonlinear Tumor-Immune Unstable Hybrid Dynamical Model (NTIUNHDM) — a mathematical framework investigating the complex interactions between tumor cells, immune response, and dietary factors through differential equations and numerical methods.
Le Défi
- Visualizing complex differential equation behavior in real time
- Making advanced cancer research mathematics accessible to non-specialists
- Accurately representing multi-variable cell population dynamics on a canvas
La Solution
- Built a custom Canvas-based animation engine for real-time cell interaction visualization.
- Implemented MathJax for crisp inline equation rendering paired with plain-language explanations.
- Layered interactive parameter sliders so users can observe how changes affect tumor-immune equilibria.
Fonctionnalités Clés
- Interactive real-time cell simulation (normal, tumor, and immune cells)
- Differential equation explorer with adjustable parameters
- Research results visualized through interactive charts
- ODE solver comparison and error analysis
- Dark/light mode toggle
- Fully responsive design
Processus
Phase 01
Studied the NTIUNHDM paper and translated its equations into numerical solvers
Phase 02
Designed modular React components for each page section (equations, results, code)
Phase 03
Integrated Framer Motion for smooth page transitions and data-driven animations
Phase 04
Deployed to Vercel with continuous integration via GitHub