A Polynomial approach to structural gene dynamics modelling

Publikationstyp
Conference Paper
Publikationsdatum
2005
Sprache
English
Author
Faisal, Saadia 
Lichtenberg, Gerwald 
Werner, Herbert 
Institut
Regelungstechnik E-14 
TORE-URI
http://hdl.handle.net/11420/14900
Enthalten in
IFAC Proceedings Volumes 
Volume
38
Issue
1
Start Page
37
End Page
42
Citation
IFAC Proceedings Volumes 38 (1): 37-42 (2005)
Contribution to Conference
16th IFAC World Congress, 2005 
Publisher DOI
10.3182/20050703-6-cz-1902.02120
Scopus ID
2-s2.0-79960741214
Publisher
Elsevier
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.
Schlagworte
Boolean networks
Canalizing functions
Gene expression
Genetic networks
Zhegalkin polynomials
DDC Class
600: Technik
620: Ingenieurwissenschaften