This thesis mainly 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 dierential 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. We analyze the approximating
model under the aspect of stability. Finally, from the considered models we
derive gene regulatory networks, discuss their qualitative features of the networks
and provide a basis for analyzing networks with nonlinear connections.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12605382/index.pdf |
| Date | 01 September 2004 |
| Creators | Yilmaz, Fatma Bilge |
| Contributors | Weber, Gerhard Wilhelm |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
Page generated in 0.0024 seconds