Stochastic Chemical Kinetics
Calibrating parameters is a crucial problem within quantitative modeling approaches to reaction networks. Existing methods for …
@article{backenkohlerMomentBasedParameterEstimationFor2017,
author = {Michael Backenköhler and Luca Bortolussi and Verena Wolf},
doi = {10.1109/TCBB.2017.2775219},
journal = {IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)},
month = {11},
number = {4},
pages = {1180-1192},
publisher = {IEEE},
title = {Moment-Based Parameter Estimation for Stochastic Reaction Networks in Equilibrium},
volume = {15},
year = {2017}
}
In stochastic biochemically reacting systems, certain rare events can cause serious consequences, which makes their probabilities …
@inproceedings{mikeevNumericalApproximationOfRare2013,
author = {Linar Mikeev and Werner Sandmann and Verena Wolf},
booktitle = {Computational Methods in Systems Biology. International Conference on Computational Methods in Systems Biology (CMSB-2013), 11th International Conference, CMSB 2013, September 22-24, Klosterneuburg, Austria},
doi = {10.1007/978-3-642-40708-6_2},
edition = {1st},
editor = {Ashutosh Gupta and Thomas A. Henzinger},
isbn = {9783642407086},
month = {9},
pages = {5-18},
publisher = {Springer, Berlin, Heidelberg},
title = {Numerical Approximation of Rare Event Probabilities in Biochemically Reacting Systems},
volume = {8130},
year = {2013}
}
Systems of stochastic chemical kinetics are modeled as infinite level-dependent quasi-birth-and-death (LDQBD) processes. For these …
@article{dayarInfiniteLevelDependentQBDProcesses2011,
author = {Tuğrul Dayar and Werner Sandmann and David Spieler and Verena Wolf},
doi = {10.1239/aap/1324045696},
journal = {Advances in Applied Probability},
month = {12},
number = {4},
pages = {1005-1026},
publisher = {Cambridge University Press},
title = {Infinite level-dependent QBD processes and matrix-analytic solutions for stochastic chemical kinetics},
volume = {43},
year = {2011}
}