Work

Computationally Checking if a Reaction Network is Monotone or Non-expansive

Year: 2024

Type: preprint

Abstract: We present a systematic procedure for testing whether reaction networks exhibit non-expansivity or monotonicity. This procedure identifies explicit norms under which a network is non-expansive or cones for which the system is monotone-or provides proof that no such structures exist. Our approach reproduces known results, generates novel findings, and demonstrates that certain reaction networks cannot exhibit monotonicity or non-expansivity with respect to any cone or norm. Additionally, we establish a duality relationship which states that if a network is monotone, so is its dual network.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.12487

Author: Duvall, Alon

Language: English

Topic: Gene Regulatory Network Analysis

Subfield: Molecular Biology

Field: Biochemistry, Genetics and Molecular Biology

Domain: Life Sciences

Open Access status: green

Funders: National Science Foundation, Air Force Office of Scientific Research

Awards: New techniques for analyzing the long-term behavior of intracellular networks, G1523888516, G419348702, G4516736450, G4746249109

OpenAlex ID: W4403747392

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