## Abstract

Progress in systems biology relies on the use of mathematical and statistical models for system-level studies of biological processes. Several different modeling frameworks have been used successfully, including traditional differential-equation-based models, a variety of stochastic models, agent-based models, and Boolean networks, to name some common ones. This chapter focuses on discrete models, and describes a mathematical approach to the construction and analysis of discrete models which relies on combinatorics and computational algebraic geometry. The underlying mathematical concept is that of a polynomial dynamical system over a finite field. Examples are given of the advantages of this approach, and several applications are discussed.

Original language | English |
---|---|

Title of host publication | Natural Computing Series |

Pages | 443-474 |

Number of pages | 32 |

DOIs | |

State | Published - 2014 |

### Publication series

Name | Natural Computing Series |
---|---|

Volume | 48 |

ISSN (Print) | 1619-7127 |

### Bibliographical note

Publisher Copyright:© Springer-Verlag Berlin Heidelberg 2014.

## ASJC Scopus subject areas

- Software
- Theoretical Computer Science