Computational methods for asynchronous basins

DOI10.3934/dcdsb.2016103zbMath1375.37179OpenAlexW2551780851WikidataQ42325590 ScholiaQ42325590MaRDI QIDQ727917

Ian H. Dinwoodie

Publication date: 21 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016103

zbMATH Keywords

basin of attractionprime idealBoolean networkasynchronous dynamicssignalling network

Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Dynamical systems in biology (37N25) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Uses Software

• CoCoALib
• Macaulay2
• rpart
• BoolNet
• ElemStatLearn
• ADAM

Cites Work

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• Polynomials for classification trees and applications
• A mathematical framework for agent based models of complex biological networks
• Attractor analysis of asynchronous Boolean models of signal transduction networks
• Robustness and fragility of Boolean models for genetic regulatory networks
• Exact tests for singular network data
• Conditional tests on basins of attraction with finite fields
• Computer Algebra in Systems Biology
• Vanishing configurations in network dynamics with asynchronous updates
• Monomials and Basin Cylinders for Network Dynamics
• An Algebraic Approach to Reverse Engineering Finite Dynamical Systems Arising from Biology

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