Mathematical Modeling and Approximation of Gene Expression Patterns

F.B. Yīlmaz, H. Öktem and G.-W. Weber
Additional contact information
F.B. Yīlmaz: Middle East Technical University
H. Öktem: Middle East Technical University
G.-W. Weber: Middle East Technical University

A chapter in Operations Research Proceedings 2004, 2005, pp 280-287 from Springer

Abstract: Abstract This study concerns modeling, approximation and inference of gene regulatory dynamics on the basis of gene expression patterns. The dynamical behavior of gene expressions is represented by a system of ordinary differential equations. We introduce a gene-interaction matrix with some nonlinear entries, in particular, quadratic polynomials of the expression levels to keep the system solvable. The model parameters are determined by using optimization. Then, we provide the time-discrete approximation of our time-continuous model. Finally, from the considered models we derive gene regulatory networks, discuss their qualitative features and provide a basis for analyzing networks with nonlinear connections.

Keywords: Gene Expression; Gene Regulation; Mathematical Modeling; Gene Network; Inference; Optimization; Dynamical Systems (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-540-27679-1_35

Ordering information: This item can be ordered from
http://www.springer.com/9783540276791

DOI: 10.1007/3-540-27679-3_35

Access Statistics for this chapter

More chapters in Operations Research Proceedings from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().