On the equilibria of the MAPK cascade

Cooperativity, modularity and bistability

C. Russo, C. Giuraniuc, R. Blossey* (Corresponding Author), J. F. Bodart

*Corresponding author for this work

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper we present a discussion of a phenomenological model of the MAPK cascade which was originally proposed by Angeli et al. [D. Angeli, J.E. Ferrell, Jr., E.D. Sontag, PNAS 101 (2004), 1822]. 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.

Original languageEnglish
Pages (from-to)5070-5080
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Volume388
Issue number24
Early online date19 Aug 2009
DOIs
Publication statusPublished - 15 Dec 2009

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modularity
Bistability
Modularity
Cascade
cascades
Rate Equations
Feedforward
Model
Analytical Solution
Degradation
Inclusion
inclusions
degradation
Symmetry
symmetry
Coefficient
coefficients
Interaction
Modeling

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

On the equilibria of the MAPK cascade : Cooperativity, modularity and bistability. / Russo, C.; Giuraniuc, C.; Blossey, R. (Corresponding Author); Bodart, J. F.

In: Physica A: Statistical Mechanics and its Applications, Vol. 388, No. 24, 15.12.2009, p. 5070-5080.

Research output: Contribution to journalArticle

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