@inproceedings{5db8490b65ab45e5ac3beeaed615df0a,
title = "Gene regulatory networks simplified by nonlinear balanced truncation",
abstract = "The complexity of gene regulatory networks described by coupled nonlinear differential equations is often an obstacle for analysis purposes. Therefore, the development of effective model reduction techniques is of paramount importance in the field of systems biology. In this paper, we apply the theory of nonlinear balanced truncation for model reduction for gene regulatory networks based only on standard matrix computations. The method is based on finding a controllability and observability function of the nonlinear system and thus obtain a balanced representation that produces singular value functions which are functions of the state. As a result, we obtain a ranked contribution of the states from an input-output perspective.",
keywords = "Gene regulatory network, Hankel operator, Nonlinear balanced truncation",
author = "Anke Meyer-B{\"a}se and Fabian Theis",
year = "2008",
doi = "10.1117/12.777292",
language = "English",
isbn = "9780819471703",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI",
note = "Independent Component Analyses, Wavelets, Unsupervised Nano-Biomimetic Sensors, and Neural Networks VI ; Conference date: 17-03-2008 Through 19-03-2008",
}