From Syntax to Semantics: Geometric Stability as the Missing Axis of Perturbation Biology

TL;DR

This paper introduces geometric stability as a new metric to evaluate cellular responses to perturbations, capturing stability and coherence in high-dimensional state spaces beyond traditional measures.

Contribution

It proposes a novel geometric stability framework based on Waddington's landscape to assess cellular intervention outcomes, revealing hidden regulatory structures.

Findings

Geometric stability distinguishes stable from unstable cellular states.

It captures regulatory architecture invisible to conventional metrics.

It discriminates master regulators from lineage-specific factors without prior annotation.

Abstract

The capacity to precisely edit genomes has outpaced our ability to predict the consequences. A cell can be genetically perfect and therapeutically useless: edited exactly as intended, yet unstable, drifting toward unintended fates, or selected for properties that compromise safety. This paradox reflects a deeper gap in how we evaluate biological intervention. Current frameworks excel at measuring what was done to a cell but remain blind to what the cell has become. We argue that this blindness stems from treating cells as collections of independent variables rather than as dynamical systems occupying positions on high-dimensional state manifolds. Drawing on Waddington's epigenetic landscape, we propose geometric stability as a missing axis of evaluation: the directional coherence of cellular responses to perturbation. This metric distinguishes interventions that guide cells coherently toward stable states from those that scatter them across the state manifold. Validation across diverse perturbation datasets reveals that geometric stability captures regulatory architecture invisible to conventional metrics, discriminating pleiotropic master regulators from lineage-specific factors without prior biological annotation. As precision medicine increasingly relies on cellular reprogramming, the question shifts from ``did the intervention occur?'' to ``is the resulting state stable?'' Geometric stability provides a framework for answering.