small update and restructure before deadline. not yet uploaded!
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@@ -19,18 +19,32 @@
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publisher={Episciences. org}
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}
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@article{helikar2011boolean,
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title={Boolean modeling of biochemical networks},
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author={Helikar, Tomas and Kochi, Naomi and Konvalina, John and A Rogers, Jim},
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journal={The Open Bioinformatics Journal},
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volume={5},
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number={1},
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year={2011}
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}
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@article{ARACENA20091,
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title = {On the robustness of update schedules in Boolean networks},
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journal = {Biosystems},
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volume = {97},
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number = {1},
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pages = {1-8},
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year = {2009},
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issn = {0303-2647},
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doi = {https://doi.org/10.1016/j.biosystems.2009.03.006},
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url = {https://www.sciencedirect.com/science/article/pii/S0303264709000471},
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author = {J. Aracena and E. Goles and A. Moreira and L. Salinas},
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keywords = {Boolean network, Update schedule, Robustness, Attractor, Dynamical cycle},
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abstract = {Deterministic Boolean networks have been used as models of gene regulation and other biological networks. One key element in these models is the update schedule, which indicates the order in which states are to be updated. We study the robustness of the dynamical behavior of a Boolean network with respect to different update schedules (synchronous, block-sequential, sequential), which can provide modelers with a better understanding of the consequences of changes in this aspect of the model. For a given Boolean network, we define equivalence classes of update schedules with the same dynamical behavior, introducing a labeled graph which helps to understand the dependence of the dynamics with respect to the update, and to identify interactions whose timing may be crucial for the presence of a particular attractor of the system. Several other results on the robustness of update schedules and of dynamical cycles with respect to update schedules are presented. Finally, we prove that our equivalence classes generalize those found in sequential dynamical systems.}
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}
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@article{schwab2020concepts,
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title={Concepts in Boolean network modeling: What do they all mean?},
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author={Schwab, Julian D and K{\"u}hlwein, Silke D and Ikonomi, Nensi and K{\"u}hl, Michael and Kestler, Hans A},
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journal={Computational and structural biotechnology journal},
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volume={18},
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pages={571--582},
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year={2020},
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publisher={Elsevier}
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}
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@article{bornholdt2008boolean,
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title={Boolean network models of cellular regulation: prospects and limitations},
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author={Bornholdt, Stefan},
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journal={Journal of the Royal Society interface},
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volume={5},
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number={suppl\_1},
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pages={S85--S94},
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year={2008},
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publisher={The Royal Society}
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}
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