Bayesian Sequential Inference for Stochastic Kinetic Biochemical Network Models

@article{Golightly2006BayesianSI,
  title={Bayesian Sequential Inference for Stochastic Kinetic Biochemical Network Models},
  author={Andrew Golightly and Darren J. Wilkinson},
  journal={Journal of computational biology : a journal of computational molecular cell biology},
  year={2006},
  volume={13 3},
  pages={
          838-51
        }
}
  • A. Golightly, D. Wilkinson
  • Published 17 May 2006
  • Computer Science
  • Journal of computational biology : a journal of computational molecular cell biology
As postgenomic biology becomes more predictive, the ability to infer rate parameters of genetic and biochemical networks will become increasingly important. In this paper, we explore the Bayesian estimation of stochastic kinetic rate constants governing dynamic models of intracellular processes. The underlying model is replaced by a diffusion approximation where a noise term represents intrinsic stochastic behavior and the model is identified using discrete-time (and often incomplete) data that… 
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References

SHOWING 1-10 OF 47 REFERENCES
Bayesian inference for a discretely observed stochastic kinetic model
TLDR
This paper explores how to make Bayesian inference for the kinetic rate constants of regulatory networks, using the stochastic kinetic Lotka-Volterra system as a model.
Bayesian inference for stochastic kinetic models using a diffusion approximation.
TLDR
The Bayesian estimation of stochastic rate constants in the context of dynamic models of intracellular processes is concerned with the estimation of parameters in a prokaryotic autoregulatory gene network.
Bayesian inference for dynamic transcriptional regulation; the Hes1 system as a case study
TLDR
This study addresses the problem of estimating the parameters of regulatory networks and provides the first application of Markov chain Monte Carlo (MCMC) methods to experimental data and develops an estimation algorithm using MCMC techniques which are flexible enough to allow for the imputation of latent data on a finer time scale.
Bayesian sequential inference for nonlinear multivariate diffusions
TLDR
This paper adapts recently developed simulation-based sequential algorithms to the problem concerning the Bayesian analysis of discretely observed diffusion processes and applies the method to the estimation of parameters in a simple stochastic volatility model of the U.S. short-term interest rate.
Computational methods for complex stochastic systems: a review of some alternatives to MCMC
TLDR
Three alternatives to MCMC methods are reviewed, including importance sampling, the forward-backward algorithm, and sequential Monte Carlo (SMC), which are demonstrated on a range of examples, including estimating the transition density of a diffusion and of a discrete-state continuous-time Markov chain; inferring structure in population genetics; and segmenting genetic divergence data.
Dynamic conditional independence models and Markov chain Monte Carlo methods
TLDR
The proposed dynamic sampling algorithms use posterior samples from previous updating stages and exploit conditional independence between groups of parameters to allow samples of parameters no longer of interest to be discarded, such as when a patient dies or is discharged.
Stochastic kinetic analysis of developmental pathway bifurcation in phage lambda-infected Escherichia coli cells.
TLDR
The fraction of infected cells selecting the lysogenic pathway at different phage:cell ratios, predicted using a molecular-level stochastic kinetic model of the genetic regulatory circuit, is consistent with experimental observations.
Computational modeling of genetic and biochemical networks
TLDR
This book provides specific examples of how modeling techniques can be used to explore functionally relevant molecular and cellular relationships, applicable to cell, developmental, structural, and mathematical biology; genetics; and computational neuroscience.
Numerical Techniques for Maximum Likelihood Estimation of Continuous-Time Diffusion Processes
Stochastic differential equations often provide a convenient way to describe the dynamics of economic and financial data, and a great deal of effort has been expended searching for efficient ways to
On inference for partially observed nonlinear diffusion models using the Metropolis–Hastings algorithm
TLDR
A new Markov chain Monte Carlo approach to Bayesian analysis of discretely observed diffusion processes and shows that, because of full dependence between the missing paths and the volatility of the diffusion, the rate of convergence of basic algorithms can be arbitrarily slow if the amount of the augmentation is large.
...
1
2
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4
5
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