CAN MARKOV CHAIN MODELS MIMIC BIOLOGICAL REGULATION?

DOI10.1142/S0218339002000676zbMath1113.92309OpenAlexW2169765391MaRDI QIDQ5468557

Michael L. Bittner, Seungchan Kim, Edward R. Dougherty, Edward Suh, Huai Li, Nanwei Cao, Yidong Chen

Publication date: 10 May 2006

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339002000676

zbMATH Keywords

steady-state analysismelanomagene regulatory networkgene selectionMarkov chain simulation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Medical applications (general) (92C50) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Biochemistry, molecular biology (92C40) Genetics and epigenetics (92D10)

Related Items (13)

On the long-run sensitivity of probabilistic Boolean networks ⋮ Set controllability of Markov jump switching Boolean control networks and its applications ⋮ \(H _{\infty }\) filtering for Markovian switching genetic regulatory networks with time-delays and stochastic disturbances ⋮ Design of sampled data state estimator for Markovian jumping neural networks with leakage time-varying delays and discontinuous Lyapunov functional approach ⋮ Robust \(\mu\)-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays ⋮ Algebraic method of simplifying Boolean networks using semi‐tensor product of Matrices ⋮ Attractor analysis of asynchronous Boolean models of signal transduction networks ⋮ NONLINEAR PROBIT GENE CLASSIFICATION USING MUTUAL INFORMATION AND WAVELET-BASED FEATURE SELECTION ⋮ Ensemble smoothers for inference of hidden states and parameters in combinatorial regulatory model ⋮ Passivity analysis for stochastic Markovian switching genetic regulatory networks with time-varying delays ⋮ Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays ⋮ Controllability of Markovian jump Boolean control networks ⋮ Stability analysis of multi-valued logical networks with Markov jump disturbances

Cites Work

• Coefficient of determination in nonlinear signal processing.

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