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Structural properties of continuous representations of Boolean functions for gene network modelling

✍ Scribed by Saadia Faisal; Gerwald Lichtenberg; Saskia Trump; Sabine Attinger


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
513 KB
Volume
46
Category
Article
ISSN
0005-1098

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✦ Synopsis


This paper recaps and extends a new method for the parameter identification of Boolean models with continuous valued data. The proposed Zhegalkin identification method with constraints allows us to include a priori known qualitative properties of the system formulated as binary rules. One rule is especially investigated, i.e. the canalizing property-because of its relevance in gene network modelling from which an application example is given.


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Higher-order hierarchical basis function
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## Abstract Three classes of higher‐order hierarchical basis functions, constructed from standard orthogonal polynomials, are proposed and evaluated for the modeling of combined metallic and dielectric microwave structures. The reduction of the condition number of moment‐method matrices is several