Circadian Rhythm Dynamics (MATLAB)

Circadian Rhythm Dynamics

MATLAB

Mathematical modeling project simulating biological circadian rhythms using differential equations. Visualizes light exposure effects on oscillatory behaviors.

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Mathematical Modeling Visualization

Overview

This project focuses on the mathematical modeling of biological circadian rhythms. By simulating systems of differential equations, it visualizes how various light exposure patterns influence stable and aperiodic oscillatory behaviors in organisms.

The simulation utilizes Ordinary Differential Equations (ODEs) to model biological processes. It employs Hopf bifurcation analysis to study system stability and produces visualizations of limit cycles and equilibrium points under different forcing functions to illustrate complex biological dynamics.

Skills Used in This Project

  • Tech Stack: MATLAB, Differential Equations, Mathematical Modeling
  • Key Features: Simulation of Ordinary Differential Equations (ODEs). Hopf bifurcation analysis for system stability. Visualizations of limit cycles and equilibrium points.
  • Repository: https://github.com/josefsaj/circadian-rhythm
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