Physical principle and governing equation for EMT morphodynamics

Develop a physical principle and corresponding governing equation that describes the time evolution of the kernel density of cell positions in the 2D UMAP-reduced morphospace during EGF-induced EMT in MDA-MB-468 cells.

Background

The authors note that an explicit governing equation for the evolution of the cell cloud in morphospace would clarify EMT dynamics but is difficult to derive because no physical principle for EMT morphodynamics is currently known.

Given the high dimensionality and limited data snapshots, they rely on POD as an assumption-free approach, leaving the development of a principled dynamical model unresolved.