Biology – Quantitative Biology – Molecular Networks
Scientific paper
2004-06-18
Physica A, 352, 265-81 (2005)
Biology
Quantitative Biology
Molecular Networks
Paper enlarged and modified, including the title. Some problems with the pdf were detected in the past. If they persist, pleas
Scientific paper
10.1016/j.physa.2005.01.016
Biological networks have been recently found to exhibit many topological properties of the so-called complex networks. It has been reported that they are, in general, both highly skewed and directed. In this paper, we report on the dynamics of a Michaelis-Menten like model when the topological features of the underlying network resemble those of real biological networks. Specifically, instead of using a random graph topology, we deal with a complex heterogeneous network characterized by a power-law degree distribution coupled to a continuous dynamics for each network's component. The dynamics of the model is very rich and stationary, periodic and chaotic states are observed upon variation of the model's parameters. We characterize these states numerically and report on several quantities such as the system's phase diagram and size distributions of clusters of stationary, periodic and chaotic nodes. The results are discussed in view of recent debate about the ubiquity of complex networks in nature and on the basis of several biological processes that can be well described by the dynamics studied.
Floría Luis M.
Gomez-Gardenes Jesus
Moreno Yamir
No associations
LandOfFree
Michaelis-Menten Dynamics in Complex Heterogeneous Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Michaelis-Menten Dynamics in Complex Heterogeneous Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Michaelis-Menten Dynamics in Complex Heterogeneous Networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-491031