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A Polynomial approach to structural gene dynamics modelling
Publikationstyp
Conference Paper
Date Issued
2005
Sprache
English
Institut
Journal
Volume
38
Issue
1
Start Page
37
End Page
42
Citation
IFAC Proceedings Volumes 38 (1): 37-42 (2005)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
Elsevier
ISBN of container
978-3-902661-75-3
A new approach for modelling the dynamics of gene expression from time series microarray data is presented. A modelling method based on a continuous representation of Boolean functions in the form of Zhegalkin Polynomials is proposed. Structural information known from theoretical biology like the canalizing property can be included as well as continuous measurements of gene expression levels. As an example, its applicability to yeast data is demonstrated. The complexity of the problem requires efficient methods and tools. The discrete set of all Canalizing Boolean models consistent with the measurements is large and grows exponentially as the connectivity degree of each gene increases. This set can be defined in terms of the Zhegalkin Polynomial coefficients. Moreover, this paper gives two theorems on structural properties of Canalizing Zhegalkin Polynomials. an algorithm based upon them shows how these results can be used for identifying Canalizing Boolean functions.
Subjects
Boolean networks
Canalizing functions
Gene expression
Genetic networks
Zhegalkin polynomials
DDC Class
600: Technik
620: Ingenieurwissenschaften