概要
This skill integrates the classic Waddington epigenetic landscape metaphor with modern mathematical frameworks like Fractional Diffusion Bridge Models (FDBM) and Schrödinger bridges. It enables researchers to simulate cell differentiation as paths on potential surfaces, incorporating stochastic fluctuations and long-range epigenetic memory via the Hurst index. By providing implementations in both Modelica and Python, it bridges the gap between theoretical biology and computational dynamical systems, allowing for the simulation of complex branching fates and cellular reprogramming.