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Main Authors: Hou, Boya, Raginsky, Maxim, Pandey, Abhishek, Milenkovic, Olgica
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.01018
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author Hou, Boya
Raginsky, Maxim
Pandey, Abhishek
Milenkovic, Olgica
author_facet Hou, Boya
Raginsky, Maxim
Pandey, Abhishek
Milenkovic, Olgica
contents RNA velocity is an important model that combines cellular spliced and unspliced RNA counts to infer dynamical properties of various regulatory functions. Despite its wide applicability and many variants used in practice, the model has not been adequately designed to directly account for both intracellular gene regulatory network interactions and spatial intercellular communications. Here, we propose a new RNA velocity approach that jointly and directly captures two new network structures: an intracellular gene regulatory network (GRN) and an intercellular interaction network that captures interactions between (neighboring) cells, with relevance to spatial transcriptomics. We theoretically analyze this two-level network system through the lens of control and consensus theory. In particular, we investigate network equilibria, stability, cellular network consensus, and optimal control approaches for targeted drug intervention.
format Preprint
id arxiv_https___arxiv_org_abs_2601_01018
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spatially-Coupled Network RNA Velocities: A Control-Theoretic Perspective
Hou, Boya
Raginsky, Maxim
Pandey, Abhishek
Milenkovic, Olgica
Dynamical Systems
Systems and Control
RNA velocity is an important model that combines cellular spliced and unspliced RNA counts to infer dynamical properties of various regulatory functions. Despite its wide applicability and many variants used in practice, the model has not been adequately designed to directly account for both intracellular gene regulatory network interactions and spatial intercellular communications. Here, we propose a new RNA velocity approach that jointly and directly captures two new network structures: an intracellular gene regulatory network (GRN) and an intercellular interaction network that captures interactions between (neighboring) cells, with relevance to spatial transcriptomics. We theoretically analyze this two-level network system through the lens of control and consensus theory. In particular, we investigate network equilibria, stability, cellular network consensus, and optimal control approaches for targeted drug intervention.
title Spatially-Coupled Network RNA Velocities: A Control-Theoretic Perspective
topic Dynamical Systems
Systems and Control
url https://arxiv.org/abs/2601.01018