# State transition diagrams in hypothetical models of cyclic gene networks functioning

## Abstract

Existence and location of periodical trajectories are important properties of multi-dimensional dynamical systems. In particular, this relates to systems that model gene networks. We can reduce the areas where cyclic trajectories may be located due to analysis of some discrete structures describing the dynamical system, such as state transition diagrams

## Reference

A.A. Akinshin, M.V. Kazantsev

“State transition diagrams in hypothetical models of cyclic gene networks functioning”(2015)

```
@Inproceedings{akinshin2015sbb,
abstract = {Existence and location of periodical trajectories are important properties of multi-dimensional dynamical systems. In particular, this relates to systems that model gene networks. We can reduce the areas where cyclic trajectories may be located due to analysis of some discrete structures describing the dynamical system, such as state transition diagrams},
address = {Novosibirsk},
author = {Akinshin, A.A. and Kazantsev, M.V.},
booktitle = {5th International Young Scientists School “System Biology and Bioinformatics”},
pages = {1},
title = {State transition diagrams in hypothetical models of cyclic gene networks functioning},
url = {http://conf.nsc.ru/SBB2015/en},
year = {2015}
}
```