`` Direct Search'' Solution of Numerical and Statistical Problems
Journal of the ACM (JACM)
XS-systems: eXtended S-Systems and Algebraic Differential Automata for Modeling Cellular Behavior
HiPC '02 Proceedings of the 9th International Conference on High Performance Computing
XS-systems: eXtended S-Systems and Algebraic Differential Automata for Modeling Cellular Behavior
HiPC '02 Proceedings of the 9th International Conference on High Performance Computing
The Factored Frontier Algorithm for Approximate Inference in DBNs
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Dynamic bayesian networks: representation, inference and learning
Dynamic bayesian networks: representation, inference and learning
COPASI---a COmplex PAthway SImulator
Bioinformatics
Probabilistic model checking of complex biological pathways
Theoretical Computer Science
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Relating continuous and discrete PEPA models of signalling pathways
Theoretical Computer Science
CMSB '08 Proceedings of the 6th International Conference on Computational Methods in Systems Biology
Continuous time bayesian networks
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
Analysis of signalling pathways using continuous time markov chains
Transactions on Computational Systems Biology VI
Transactions on Computational Systems Biology VII
Building gene networks with time-delayed regulations
Pattern Recognition Letters
Probabilistic approximations of ODEs based bio-pathway dynamics
Theoretical Computer Science
A hybrid factored frontier algorithm for dynamic Bayesian network models of biopathways
Proceedings of the 9th International Conference on Computational Methods in Systems Biology
Stability of inferring gene regulatory structure with dynamic Bayesian networks
PRIB'11 Proceedings of the 6th IAPR international conference on Pattern recognition in bioinformatics
A Hybrid Factored Frontier Algorithm for Dynamic Bayesian Networks with a Biopathways Application
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Inferring gene regulatory networks from time-series expressions using random forests ensemble
PRIB'13 Proceedings of the 8th IAPR international conference on Pattern Recognition in Bioinformatics
GPU code generation for ODE-based applications with phased shared-data access patterns
ACM Transactions on Architecture and Code Optimization (TACO)
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Systems of ordinary differential equations (ODEs) are often used to model the dynamics of complex biological pathways. We construct a discrete state model as a probabilistic approximation of the ODE dynamics by discretizing the value space and the time domain. We then sample a representative set of trajectories and exploit the discretization and the structure of the signaling pathway to encode these trajectories compactly as a dynamic Bayesian network. As a result, many interesting pathway properties can be analyzed efficiently through standard Bayesian inference techniques. We have tested our method on a model of EGF-NGF signaling pathway [1] and the results are very promising in terms of both accuracy and efficiency.