Computation of Steady-State Probability Distributions in Stochastic Models of Cellular Networks

PLoS Computational Biology ◽

10.1371/journal.pcbi.1002209 ◽

2011 ◽

Vol 7 (10) ◽

pp. e1002209 ◽

Author(s):

Mark Hallen ◽

Bochong Li ◽

Yu Tanouchi ◽

Cheemeng Tan ◽

Mike West ◽

...

Keyword(s):

Steady State ◽

Cellular Networks ◽

Stochastic Models ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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A matrix perturbation method for computing the steady-state probability distributions of probabilistic Boolean networks with gene perturbations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.10.021 ◽

2011 ◽

Vol 235 (8) ◽

pp. 2242-2251 ◽

Author(s):

Wei-Wei Xu ◽

Wai-Ki Ching ◽

Shu-Qin Zhang ◽

Wen Li ◽

Xiao-Shan Chen

Keyword(s):

Steady State ◽

Perturbation Method ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Matrix Perturbation ◽

Steady State Probability ◽

Probabilistic Boolean Networks ◽

Gene Perturbations

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Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control

IEEE Transactions on Automatic Control ◽

10.1109/9.863596 ◽

2000 ◽

Vol 45 (6) ◽

pp. 1116-1130 ◽

Author(s):

D. Liberzon ◽

R.W. Brockett

Keyword(s):

Optimal Control ◽

Steady State ◽

Probability Distributions ◽

State Probability ◽

Nonlinear Feedback ◽

Feedback Systems ◽

Steady State Probability ◽

Nonlinear Feedback Systems

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Analyzing steady state probability distributions of Context-sensitive Probabilistic Boolean Networks

2009 IEEE International Workshop on Genomic Signal Processing and Statistics ◽

10.1109/gensips.2009.5174325 ◽

2009 ◽

Author(s):

Ranadip Pal

Keyword(s):

Steady State ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Context Sensitive ◽

Probabilistic Boolean Networks

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Iterative solution methods for obtaining the steady-state probability distributions of Markovian multi-echelon repairable item inventory systems

Computers & Operations Research ◽

10.1016/0305-0548(93)90103-p ◽

1993 ◽

Vol 20 (8) ◽

pp. 817-828 ◽

Author(s):

Donald Gross ◽

Bingchang Gu ◽

Richard M. Soland

Keyword(s):

Steady State ◽

Probability Distributions ◽

Iterative Solution ◽

Inventory Systems ◽

State Probability ◽

Steady State Probability ◽

Solution Methods ◽

Iterative Solution Methods

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A new method and application for controlling the steady-state probability distributions of probabilistic Boolean networks

2014 IEEE Congress on Evolutionary Computation (CEC) ◽

10.1109/cec.2014.6900436 ◽

2014 ◽

Author(s):

Meng Yang ◽

Rui Li ◽

Tianguang Chu

Keyword(s):

Steady State ◽

Probability Distributions ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Probabilistic Boolean Networks

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Existence of steady-state probability distributions in multilocus models for genotype evolution

Bulletin of Mathematical Biology ◽

10.1007/bf02460064 ◽

1986 ◽

Vol 48 (1) ◽

pp. 87-95 ◽

Author(s):

Gerald Rosen

Keyword(s):

Steady State ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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A Fast Transformation of Markov Chains and Their Respective Steady-State Probability Distributions

The Computer Journal ◽

10.1093/comjnl/bxs086 ◽

2012 ◽

Vol 57 (1) ◽

pp. 1-11 ◽

Author(s):

R. A. Vallejos C. ◽

J. M. Martinez V.

Keyword(s):

Steady State ◽

Markov Chains ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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The Biconjugate Gradient Method for Obtaining the Steady-State Probability Distributions of Markovian Multiechelon Repairable Item Inventory Systems

Numerical Solution of Markov Chains ◽

10.1201/9781003210160-25 ◽

2021 ◽

pp. 473-489

Author(s):

Donald Gross ◽

Bingchang Gu ◽

Richard M. Soland

Keyword(s):

Steady State ◽

Gradient Method ◽

Probability Distributions ◽

Inventory Systems ◽

State Probability ◽

Steady State Probability ◽

Biconjugate Gradient Method ◽

Biconjugate Gradient

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Existence of steady-state probability distributions in multilocus models for genotype evolution

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(86)90022-4 ◽

1986 ◽

Vol 48 (1) ◽

pp. 87-95

Author(s):

G ROSEN

Keyword(s):

Steady State ◽

Probability Distributions ◽

State Probability ◽

Steady State Probability

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An approximation method for solving the steady-state probability distribution of probabilistic Boolean networks

Bioinformatics ◽

10.1093/bioinformatics/btm142 ◽

2007 ◽

Vol 23 (12) ◽

pp. 1511-1518 ◽

Author(s):

W.-K. Ching ◽

S. Zhang ◽

M. K. Ng ◽

T. Akutsu

Keyword(s):

Steady State ◽

Probability Distribution ◽

Approximation Method ◽

Boolean Networks ◽

State Probability ◽

Steady State Probability ◽

Probabilistic Boolean Networks

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