What is Waddington's epigenetic landscape?

It is a foundational metaphor in developmental biology where a cell is modeled as a ball rolling down a landscape of valleys, where each valley represents a specific differentiated cell fate.

Which programming languages are supported by this skill?

The skill provides comprehensive implementations in both Python (for computational modeling and ML) and Modelica (for system dynamics and mathematical simulation).

How does this skill model epigenetic memory?

It utilizes Fractional Brownian Motion (fBM) and the Hurst index (H). A Hurst index greater than 0.5 encodes superdiffusive behavior, representing a cell's ability to 'remember' its historical trajectory.

What is the connection to Schrödinger bridges?

Schrödinger bridges are used as an optimal transport formulation to model the transition of cells from a pluripotent distribution to a differentiated state with minimal energy cost.

Waddington Landscape Modeling

Name: Waddington Landscape Modeling
Author: plurigrid

byplurigrid

•

Data Science & ML

Simulates developmental biology and cell fate trajectories using gradient flows, fractional diffusion, and Schrödinger bridges.

This skill integrates Waddington's epigenetic landscape theory with modern mathematical frameworks like Fractional Diffusion Bridge Models (FDBM) and optimal transport. It enables researchers and developers to model cell differentiation as a dynamical system, providing implementations in both Modelica and Python for simulating bifurcations, canalization, and stochastic cell fate decisions. It is particularly useful for computational biologists and data scientists working on high-dimensional state-space modeling, lineage tracing, and stochastic gene expression analysis.

Key Features

01Models fractional diffusion with adjustable Hurst indices for epigenetic memory

028 GitHub stars

03Provides Modelica templates for pitchfork and multi-fate bifurcations

04Implements Langevin dynamics for gradient-based cell fate simulation

05Unifies developmental biology metaphors with rigorous mathematical structures

06Includes Python classes for Schrödinger bridge and optimal transport simulations

Use Cases

01Simulating stem cell differentiation pathways in computational biology research

02Modeling stochastic gene expression and epigenetic memory using fractional Brownian motion

03Implementing optimal transport frameworks for state-space trajectory inference in AI models

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi waddington-landscape

For use in Claude.ai and ChatGPT

Download Skill