dorsal/arxiv
View SchemaMichaelis-Menten Dynamics in Complex Heterogeneous Networks
| Authors | Jesus Gomez-Gardenes, Yamir Moreno, Luis M. Floria |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0406040 |
| URL | https://arxiv.org/abs/q-bio/0406040 |
| DOI | 10.1016/j.physa.2005.01.016 |
| Journal | Physica A, 352, 265-81 (2005) |
Abstract
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.
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"abstract": "Biological networks have been recently found to exhibit many topological\nproperties of the so-called complex networks. It has been reported that they\nare, in general, both highly skewed and directed. In this paper, we report on\nthe dynamics of a Michaelis-Menten like model when the topological features of\nthe underlying network resemble those of real biological networks.\nSpecifically, instead of using a random graph topology, we deal with a complex\nheterogeneous network characterized by a power-law degree distribution coupled\nto a continuous dynamics for each network\u0027s component. The dynamics of the\nmodel is very rich and stationary, periodic and chaotic states are observed\nupon variation of the model\u0027s parameters. We characterize these states\nnumerically and report on several quantities such as the system\u0027s phase diagram\nand size distributions of clusters of stationary, periodic and chaotic nodes.\nThe results are discussed in view of recent debate about the ubiquity of\ncomplex networks in nature and on the basis of several biological processes\nthat can be well described by the dynamics studied.",
"arxiv_id": "q-bio/0406040",
"authors": [
"Jesus Gomez-Gardenes",
"Yamir Moreno",
"Luis M. Floria"
],
"categories": [
"q-bio.MN",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.physa.2005.01.016",
"journal_ref": "Physica A, 352, 265-81 (2005)",
"title": "Michaelis-Menten Dynamics in Complex Heterogeneous Networks",
"url": "https://arxiv.org/abs/q-bio/0406040"
},
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