果蝇体极性基因网络的稳定性分析

果蝇的全基因组的序列测定早已完成,但是,对于基因之间是如何相互调控以实现复杂的生物功能,还需要深入的研究.认识并解析复杂的基因调控网络的构成和动力学机制,已成为现代生命科学中的前沿课题之一.在本文中,我们重点研究了果蝇的胚胎发育过程中图式形成的体极性基因网络调控.这一调控是通过相邻细胞中的基因网络的相互影响而达成的.本文主要考察这种基因网络调控对于初始条件的稳定性,以此说明生物胚胎发育对于初始条件的相对稳定性.我们发现该调控系统对于特定位置的干扰有极好的稳定性,对于整个系统的小干扰有良好的稳定性.

Stability analysis of the gene network regulating Drosophila segmentation

With the completion of Drosophila whole genome sequencing, much study is needed to understand how various interactions between regulatory genes determine complex biological functions. Investigating structures and dynamics of complex gene regulatory networks has become one of the forefronts of today’s life science. In this paper, we check the stability of the Drosophila segmentation regulation gene network during embryogenesis, which is realized through interaction between gene regulation networks of adjacent cells. We explore the stability with respect to initial conditions and find that the regulation network is robust for most local perturbations while globally stable only for small noise.