Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs

DOI10.1186/2190-8567-4-6zbMath1291.92047arXiv1308.5179OpenAlexW2122844515WikidataQ34529214 ScholiaQ34529214MaRDI QIDQ2251597

Deena R. Schmidt, Peter J. Thomas

Publication date: 14 July 2014

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5179

zbMATH Keywords

networksMarkov processrandom graphsHodgkin-Huxley modelcomplexity reductionion channel

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (5)

Graph theory -- a survey on the occasion of the Abel Prize for László Lovász ⋮ Solutions to the Minimum Variance Problem Using Delaunay Triangulation ⋮ Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics ⋮ Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding ⋮ Fast and Accurate Langevin Simulations of Stochastic Hodgkin-Huxley Dynamics

Cites Work

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• A stochastic automata network descriptor for Markov chain models of instantaneously coupled intracellular Ca\(^{2+}\) channels
• A stochastic analysis of first-order reaction networks
• Simplification of reversible Markov chains by removal of states with low equilibrium occupancy
• Spectral distributions of adjacency and Laplacian matrices of random graphs
• Stochastic methods. A handbook for the natural and social sciences
• Pursuit of food \textit{versus} pursuit of information in a Markovian perception-action loop model of foraging
• Eigenvector distribution of Wigner matrices
• A multi-time-scale analysis of chemical reaction networks. I: Deterministic systems
• RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
• Statistical mechanics of complex networks
• Stimulus-Dependent Correlations and Population Codes
• Modeling and Simulating Chemical Reactions
• Exact and ordinary lumpability in finite Markov chains
• Networks

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