Chemical Master Equation
The time-evolution of continuous-time discrete-state biochemical processes is governed by the Chemical Master Equation (CME), which …
@article{hasenauerMethodOfConditionalMoments2014,
author = {J. Hasenauer and Verena Wolf and A. Kazeroonian and F. J. Theis},
doi = {10.1007/s00285-013-0711-5},
journal = {Journal of Mathematical Biology (JOMB)},
month = {9},
number = {3},
pages = {687-735},
publisher = {Springer, Berlin, Heidelberg},
title = {Method of conditional moments (MCM) for the Chemical Master Equation},
volume = {69},
year = {2014}
}
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}
}
Molecular noise, which arises from the randomness of the discrete events in the cell, significantly influences fundamental biological …
@article{didierApproximationOfEventProbabilities2011,
author = {Frédéric Didier and Thomas A. Henzinger and Maria Mateescu and Verena Wolf},
doi = {10.1016/j.tcs.2010.10.022},
journal = {Theoretical Computer Science (TCS)},
month = {5},
number = {21},
pages = {2128-2141},
publisher = {Elsevier, Amsterdam},
title = {Approximation of event probabilities in noisy cellular processes},
volume = {412},
year = {2011}
}