Fixed Points in Discrete Models for Regulatory Genetic Networks

@inproceedings{Bollman2007FixedPI,
title={Fixed Points in Discrete Models for Regulatory Genetic Networks},
author={Dorothy Bollman and Omar Col{\'o}n-Reyes and Edusmildo Orozco},
booktitle={EURASIP J. Bioinformatics and Systems Biology},
year={2007}
}

It is desirable to have efficient mathematical methods to extract information about regulatory iterations between genes from repeated measurements of gene transcript concentrations. One piece of information is of interest when the dynamics reaches a steady state. In this paper we develop tools that enable the detection of steady states that are modeled by fixed points in discrete finite dynamical systems. We discuss two algebraic models, a univariate model and a multivariate model. We show that… CONTINUE READING