dorsal/arxiv
View SchemaPropagation of fluctuations in interaction networks governed by the law of mass action
| Authors | Sergei Maslov, Kim Sneppen, Iaroslav Ispolatov |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611026 |
| URL | https://arxiv.org/abs/q-bio/0611026 |
| DOI | 10.1088/1367-2630/9/8/273 |
| Journal | New J. Phys. v.9, 273 (2007). |
Abstract
Using an example of physical interactions between proteins, we study how perturbations propagate in interconnected networks whose equilibrium state is governed by the law of mass action. We introduce a comprehensive matrix formalism which predicts the response of this equilibrium to small changes in total concentrations of individual molecules, and explain it using a heuristic analogy to a current flow in a network of resistors. Our main conclusion is that on average changes in free concentrations exponentially decay with the distance from the source of perturbation. We then study how this decay is influenced by such factors as the topology of a network, binding strength, and correlations between concentrations of neighboring nodes. An exact analytic expression for the decay constant is obtained for the case of uniform interactions on the Bethe lattice. Our general findings are illustrated using a real biological network of protein-protein interactions in baker's yeast with experimentally determined protein concentrations.
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"abstract": "Using an example of physical interactions between proteins, we study how\nperturbations propagate in interconnected networks whose equilibrium state is\ngoverned by the law of mass action. We introduce a comprehensive matrix\nformalism which predicts the response of this equilibrium to small changes in\ntotal concentrations of individual molecules, and explain it using a heuristic\nanalogy to a current flow in a network of resistors. Our main conclusion is\nthat on average changes in free concentrations exponentially decay with the\ndistance from the source of perturbation. We then study how this decay is\ninfluenced by such factors as the topology of a network, binding strength, and\ncorrelations between concentrations of neighboring nodes. An exact analytic\nexpression for the decay constant is obtained for the case of uniform\ninteractions on the Bethe lattice. Our general findings are illustrated using a\nreal biological network of protein-protein interactions in baker\u0027s yeast with\nexperimentally determined protein concentrations.",
"arxiv_id": "q-bio/0611026",
"authors": [
"Sergei Maslov",
"Kim Sneppen",
"Iaroslav Ispolatov"
],
"categories": [
"q-bio.MN",
"cond-mat.stat-mech",
"physics.bio-ph",
"q-bio.GN"
],
"doi": "10.1088/1367-2630/9/8/273",
"journal_ref": "New J. Phys. v.9, 273 (2007).",
"title": "Propagation of fluctuations in interaction networks governed by the law of mass action",
"url": "https://arxiv.org/abs/q-bio/0611026"
},
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