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BioSimulations

A structured collection of Jupyter notebooks simulating biological systems using mathematical models and numerical methods.

This repository is designed for students, researchers, and educators exploring computational biology, epidemiology, ecology, and systems modeling.


πŸ“‚ Project Structure

The notebooks are organized into topic-based folders for better modularity and clarity:


πŸ“ Module Descriptions

🧬 crispr/

  • crispr_simulation.ipynb
    Simulates particle-like behavior inspired by CRISPR gene editing mechanisms using basic stochastic and physical modeling.

⚑ electrophysiology/

  • fitzhugh_nagumo.ipynb
    Implements the FitzHugh-Nagumo diffusion-reaction model to simulate excitability in neurons and cardiac cells.

🦠 epidemiology/

  • sir_model_covid19.ipynb
    Simulates the spread of SARS-CoV-2 using a compartmental SIR model, solved with the 4th-order Runge-Kutta method.

🌿 ecology/

  • lotka_volterra.ipynb
    Models predator-prey population dynamics using the classical Lotka-Volterra equations.
  • ecological_dynamics.ipynb
    Explores general ecological interactions like species competition and coexistence using system dynamics.

πŸš€ Getting Started

1. Clone the Repository

git clone https://github.com/avroj1t/biosimulations.git
cd biosimulations

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Simulations using Numerical Analysis

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