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  Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space

Conradi, C., Flockerzi, D., & Raisch, J. (2008). Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space. Mathematical Biosciences, 211(1), 105-131. doi:10.1016/j.mbs.2007.10.004.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-95D9-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-C547-6
Genre: Journal Article

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 Creators:
Conradi, Carsten1, Author              
Flockerzi, Dietrich1, Author              
Raisch, Jörg2, Author
Affiliations:
1Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738154              
2TU Berlin, ou_persistent22              

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 Abstract: Mathematical models of biochemical reaction networks in the form of ordinary differential equations can exhibit all sorts of complex dynamical behaviour. It is for example known, that even a single layer of an MAPK cascade can exhibit bistability (i.e.\ there exist multiple (positive) steady state solutions). It is almost a common-place that bistability or some other form of multistationarity are observed in many biochemical reaction networks, especially if the focus is on signal transduction or cell cycle regulation. However, multistationarity is only exhibited if the parameter vector is located in an appropriate region of parameter space. To find these regions, for example by using numerical tools like bifurcation analysis, is a nontrivial task as it amounts to searching the whole parameter space. In this paper we show that for a model of a single layer of an MAPK cascade it is possible to derive analytical descriptions of these regions, if mass action kinetics are used. Moreover, our results give rise to a straightforward explanation for the 'robust yet fragile' behaviour in the activation of an MAPK. Copyright © 2007 Elsevier Inc. All rights reserved. [accessed June 6, 2008]

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Language(s): eng - English
 Dates: 2008
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1016/j.mbs.2007.10.004
eDoc: 298320
Other: 2/08
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Title: Mathematical Biosciences
Source Genre: Journal
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Pages: - Volume / Issue: 211 (1) Sequence Number: - Start / End Page: 105 - 131 Identifier: -