Parametric stability evaluation in computer experiments on the mathematical model of Drosophila control gene subnetwork
Rustem N. Tchuraev and Alexander V. Galimzyanov*
Institute of Biology, Ufa Research Center, Russian Academy of Sciences, Ufa, Russia
Using the method of generalized threshold models, the problem is formulated and solved to evaluate the parametric stability of the model of a gene subnetwork controlling the early ontogenesis of the fruit fly Drosophila melanogaster. Computer experiments have been performed to test the parametric stability of the model. Quantitative evaluations have been obtained for parametric stability of the Drosophila gene subnetwork in nuclei along the embryo's anterior-posterior axis. The results of computer experiments have been compared with the previous research data on "sensitivity" of functioning regimes to random changes of the parameters in the models of prokaryotic and eukaryotic systems, namely the system controlling the -phage development and the subsystem controlling the flower morphogenesis of Arabidopsis thaliana. The obtained results confirm high parametric stability of gene networks that control the development of organisms.
Key words: control gene networks, Drosophila melanogaster, generalised threshold models, computer experiments, parametric stability