Tensor Approximation of Stationary Distributions of Chemical Reaction Networks

DOI10.1137/130927218zbMath1322.60155OpenAlexW1490602343MaRDI QIDQ2947055

Christoph Schwab, Vladimir A. Kazeev

Publication date: 21 September 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7711a96baeb13695603a58b1b1cb58a334a0d8de

zbMATH Keywords

Poisson distributionstationary distributionstochastic modelsmultilinear algebraMichaelis-Menten kineticschemical reaction networklow ranktensor approximationdeficiency zerochemical master equationmass-action kineticstensor trainquantized tensor train

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27) Multilinear algebra, tensor calculus (15A69) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (10)

Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation ⋮ QTT-finite-element approximation for multiscale problems. I: Model problems in one dimension ⋮ Tensor Approximation of Stationary Distributions of Chemical Reaction Networks ⋮ Simultaneous state-time approximation of the chemical master equation using tensor product formats ⋮ Nearest-neighbor interaction systems in the tensor-train format ⋮ Tensor product approach to modelling epidemics on networks ⋮ Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions ⋮ Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations ⋮ Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension ⋮ Finite state projection for approximating the stationary solution to the chemical master equation using reaction rate equations

Uses Software

• LOBPCG

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