CrohnsModeling is a computational modeling project focused on simulating chronic intestinal inflammation dynamics observed in Crohn’s disease using mechanistic mathematics, stochastic processes, and numerical simulation. The goal is to build a modular, research-grade framework that captures flare–remission cycles, spatial inflammation propagation, and (optionally) inflammation-linked tumor initiation.
Crohn’s disease involves complex interactions between immune activity, epithelial damage, microbial stimuli, and tissue repair. This project implements simplified but biologically informed computational models to study:
- Spatial inflammation propagation (reaction–diffusion PDEs)
- Stochastic flare events and immune activation
- Tissue recovery dynamics
- Long-horizon system behavior under varied parameter regimes
- Optional: inflammation-driven tumor initiation as a coupled model
This repository is intended as a scientific sandbox for exploring how chronic inflammation evolves over time using mathematical and numerical tools.
This project involves:
- Designing mechanistic models using PDEs, stochastic processes, and coupled nonlinear systems
- Implementing a modular simulation engine with tunable parameters
- Running numerical experiments (finite differences, finite volume, or spectral methods)
- Performing sensitivity analysis and studying emergent behaviors
- Building visualization tools for spatial/temporal inflammation patterns
- Documenting assumptions, scientific rationale, and limitations
- Maintaining clean, reproducible, well-structured research code