From Network Structure to Dynamics and Back Again: Relating dynamical stability and connection topology in biological complex systems
arXiv:0804.0977 · doi:10.1007/978-0-8176-4751-3_1
Abstract
The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from statistical physics and non-linear dynamics. In this paper, we look at a few examples of biological networks to see how similar questions can come up in very different contexts. We review some of our recent work that looks at how network structure (e.g., its connection topology) can dictate the nature of its dynamics, and conversely, how dynamical considerations constrain the network structure. We also see how networks occurring in nature can evolve to modular configurations as a result of simultaneously trying to satisfy multiple structural and dynamical constraints. The resulting optimal networks possess hubs and have heterogeneous degree distribution similar to those seen in biological systems.
15 pages, 6 figures, to appear in Proceedings of "Dynamics On and Of Complex Networks", ECSS'07 Satellite Workshop, Dresden, Oct 1-5, 2007
References in corpus (5)
- Hydrophobic, hydrophilic and charged amino acids' networks within Protein
- Emergence of self-sustained patterns in small-world excitable media
- Evidence of universality for the May-Wigner stability theorem for random networks with local dynamics
- Modular networks emerge from multiconstraint optimization
- Robust Emergent Activity in Dynamical Networks