We establish a connection between finite fields and finite dynam-ical systems. We show how this connection can be used to shed light on some problems in finite dynamical systems and in particular, in linear systems.
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… (More)
Several research groups [1, 2, 3] have described genetic networks as networks of Boolean variables. For example, in  Ideker, Thorsson and Karp present a determin-istic Boolean network model for genetic networks. We will show that these Boolean network models are examples of Finite Dynamical Systems (–), and we will generalize the deterministic… (More)