<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We consider systems of ordinary differential equations that arise in the theory of gene regulatory networks. These systems can be of arbitrary size but of definite structure that depends on the choice of regulatory matrices. Attractors play the decisive role in behaviour of elements of such systems. We study the structure of simple attractors that consist of a number of critical points for several choices of regulatory matrices.</p></abstract>

We consider systems of ordinary differential equations that arise in the theory of gene regulatory networks. These systems can be of arbitrary size but of definite structure that depends on the choice of regulatory matrices. Attractors play the decisive role in behaviour of elements of such systems. We study the structure of simple attractors that consist of a number of critical points for several choices of regulatory matrices.

Networks Describing Dynamical Systems

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Networks Describing Dynamical Systems"}

We consider systems of ordinary differential equations that arise in the theory of gene regulatory networks. These systems can be of arbitrary size but of...

Networks Describing Dynamical Systems

Publié en ligne: 25 janv. 2019

Pages: 39 - 52

Reçu: 11 déc. 2017

DOI: https://doi.org/10.2478/tmmp-2018-0004

Mots clés
nonlinear systems of ordinary differential equations, attractors, gene regulation, networks

© 2018 Eduard Brokan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Networks Describing Dynamical Systems

Publié en ligne: 25 janv. 2019

Pages: 39 - 52

Reçu: 11 déc. 2017

DOI: https://doi.org/10.2478/tmmp-2018-0004

Mots clésnonlinear systems of ordinary differential equations, attractors, gene regulation, networks

© 2018 Eduard Brokan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
nonlinear systems of ordinary differential equations, attractors, gene regulation, networks