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Generalized, switch-like competitive heterodimerization networks

Olivier Cinquin 1,2,3,5,* Karen M Page 1,4
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:
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.

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Next: Introduction
Cinquin & Page, Bull Math Biol (2006, in press)