** Olivier Cinquin ^{1,2,3,5,*} Karen M Page ^{1,4}
**

1: CoMPLEX, UCL

2:Department of Anatomy and Developmental Biology

University College London

Gower Street, London WC1E 6BT, U.K.

3:Laboratoire TIMC-IMAG-CNRS UMR 5525, Université Joseph Fourier, Grenoble 1

Faculté de Médecine, Domaine de la Merci, 38706 La Tronche, France

4: Department of Computer Science, Bioinformatics Unit, UCL

5: Present address: Department of Biochemistry, University of Wisconsin

433 Babcock Drive, Madison, WI 53706, USA

* Correspondence: cinquin@wisc.edu

FAX: 608-265-5820

Bulletin of Mathematical Biology (2006, in press)

High-dimensional switches have been proposed as a way to model cellular differentiation, particularly in the context of basic Helix-Loop-Helix (bHLH) competitive heterodimerization networks. A previous study derived a simple rule showing how many elements can be co-expressed, depending on the rate of competition within the network. A limitation to that rule, however, is that many biochemical parameters were considered to be identical. Here we derive a generalized rule. This in turns allows one to study more ways in which these networks could be regulated, linking intrinsic cellular differentiation determinants to extracellular cues.

- Introduction

- Results

- Discussion
- Acknowledgements
- Bibliography
- Normalization with respect to the dissociation constants
- Stronger inequality when no is at the "lower solution"
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