Time-Delayed Models of Gene Regulatory Networks

2015/01/01 by K. Parmar, Kinjal Parmar, K. B. Blyuss +3 · 35 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Psychology · #Bioinformatics and Genomic Networks #Biology #Computational biology #Computer science #Dynamics (music) #Evolution and Genetic Dynamics #Gene #Gene Regulatory Network Analysis #Gene expression #Gene regulatory network #Genetics #Limit (mathematics) #Mathematics #Network dynamics #Psychology #Regulation of gene expression #q-bio.MN #q-bio.QM

paper · pdf · doi:10.1155/2015/347273

published in Computational and Mathematical Methods in Medicine 2015, 1-16 (Hindawi Publishing Corporation) · 27 pages, 6 figures

openalex publication_date 2015/01/01 · arxiv created 2015/10/28 · arxiv updated 2015/10/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling approaches, we use a paradigmatic two-gene network to focus on the role played by time delays in the dynamics of gene regulatory networks. We contrast the dynamics of the reduced model arising in the limit of fast mRNA dynamics with that of the full model. The review concludes with the discussion of some open problems.

Citations

• Metabolic stability and epigenesis in randomly constructed genetic nets
• Oscillatory behavior in enzymatic control processes
• Dynamics of Symmetric Dynamical Systems with Delayed Switching
• Comprehensive Identification of Cell Cycle–regulated Genes of the YeastSaccharomyces cerevisiaeby Microarray Hybridization
• Construction of a genetic toggle switch in Escherichia coli
• Oscillations and variability in the p53 system
• Using Bayesian Networks to Analyze Expression Data