A chain of connected genes with activation-repression links is analysed. It is shown that for various promoter activity functions (parametrised by Hill coefficient) the equations describing the concentrations of transcription factors, are differential-difference KdV-type with perturbations. In the case of large Hill coefficient the proteomic signal along the gene network is given by a superposition of perturbed dark solitons of defocusing differential-difference mKdV equation. Biological implications are discussed.
@article{arxiv.q-bio/0611042,
title = {Proteomic nonlinear waves in networks of transcriptional regulators},
author = {A. S. Carstea},
journal= {arXiv preprint arXiv:q-bio/0611042},
year = {2007}
}