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Optimal reconstruction of noisy dynamics and selection probabilities in Boolean networks
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| Title: | Optimal reconstruction of noisy dynamics and selection probabilities in Boolean networks |
| Authors: | Kobayashi, Koichi Browse this author →KAKEN DB | | Wu, Yuhu Browse this author |
| Keywords: | Boolean network | | Noisy dynamics | | Optimal reconstruction | | Gene regulatory network | | Systems biology |
| Issue Date: | Feb-2022 |
| Publisher: | Elsevier |
| Journal Title: | Automatica |
| Volume: | 136 |
| Start Page: | 110094 |
| Publisher DOI: | 10.1016/j.automatica.2021.110094 |
| Abstract: | In the analysis and control of complex systems, including gene regulatory networks, it is important to reconstruct a mathematical model from a priori information and noisy experimental data. A Boolean network (BN) is well known as a mathematical model of gene regulatory networks. Each state of BNs takes a binary value (0 or 1), and its update rule is given by a set of Boolean functions. In this paper, we consider the optimal reconstruction problem of finding a probabilistic BN consisting of the main dynamics and the noisy dynamics, by giving the main dynamics and the sample mean of the state obtained from noisy experimental data. In the proposed method, the selection probability of the main dynamics is maximized. We show that the optimal Boolean function of the noisy dynamics is a constant (0 or 1) map under no assumption on the structure of noisy dynamics. Finally, as a biological application, the reconstruction of a PBN model of the lac operon networks of Escherichia coli bacterium is addressed using the proposed approach. |
| Rights: | © <2022>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license | | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/90943 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小林 孝一
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