dorsal/arxiv
View SchemaOn the equilibria of the MAPK cascade: cooperativity, modularity and bistability
| Authors | C. Russo, C. V. Giuraniuc, R. Blossey, J. -F. Bodart |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0702051 |
| URL | https://arxiv.org/abs/q-bio/0702051 |
| DOI | 10.1016/j.physa.2009.08.018 |
| Journal | Physica A 388 (2009), pp. 5070-5080 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this paper we present a discussion of a phenomenological model of the MAPK cascade which was originally proposed by Angeli et al. (PNAS 101, 1822 (2004)). The model and its solution are extended in several respects: a) an analytical solution is given for the cascade equilibria, exploiting a parameter-based symmetry of the rate equations; b) we discuss the cooperativity (Hill coefficients) of the cascade and show that a feedforward loop within the cascade increases its cooperativity. The relevance of this result for the notion of modularity is discussed; c) the feedback model for cascade bistability by Angeli et al. is reconsidered. We argue that care must be taken in modeling the interactions and a biologically realistic phenomenological model cannot be too reductionist. The inclusion of a time-dependent degradation rate is needed to account for a switching of the cascade.
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"abstract": "In this paper we present a discussion of a phenomenological model of the MAPK\ncascade which was originally proposed by Angeli et al. (PNAS 101, 1822 (2004)).\nThe model and its solution are extended in several respects: a) an analytical\nsolution is given for the cascade equilibria, exploiting a parameter-based\nsymmetry of the rate equations; b) we discuss the cooperativity (Hill\ncoefficients) of the cascade and show that a feedforward loop within the\ncascade increases its cooperativity. The relevance of this result for the\nnotion of modularity is discussed; c) the feedback model for cascade\nbistability by Angeli et al. is reconsidered. We argue that care must be taken\nin modeling the interactions and a biologically realistic phenomenological\nmodel cannot be too reductionist. The inclusion of a time-dependent degradation\nrate is needed to account for a switching of the cascade.",
"arxiv_id": "q-bio/0702051",
"authors": [
"C. Russo",
"C. V. Giuraniuc",
"R. Blossey",
"J. -F. Bodart"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1016/j.physa.2009.08.018",
"journal_ref": "Physica A 388 (2009), pp. 5070-5080",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On the equilibria of the MAPK cascade: cooperativity, modularity and bistability",
"url": "https://arxiv.org/abs/q-bio/0702051"
},
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