Stochastic kinetic models: dynamic independence, modularity and graphs

DOI10.1214/09-AOS779zbMath1203.92033arXiv1010.3916WikidataQ42199708 ScholiaQ42199708MaRDI QIDQ988005

Clive G. Bowsher

Publication date: 24 August 2010

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3916

zbMATH Keywords

systems biologyreaction networksstochastic kinetic modelcounting and point processesdynamic and local independencegraphical decompositionkinetic independence graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell biology (92C37) Directed graphs (digraphs), tournaments (05C20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Systems biology, networks (92C42)

Related Items (4)

Noise-Induced Multirhythmicity, Bursting, and Order–Chaos Transitions in the 3D Goldbeter System ⋮ The dynamics of stochastic mono-molecular reaction systems in stochastic environments ⋮ Nonparametric likelihood based estimation of linear filters for point processes ⋮ Lasso and probabilistic inequalities for multivariate point processes

Cites Work

• Asymptotic analysis of multiscale approximations to reaction networks
• Statistical analysis of counting processes
• A General Dynamical Statistical model with Causal Interpretation
• Graphical Models for Marked Point Processes Based on Local Independence
• Graphical Models for Composable Finite Markov Processes
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