6533b850fe1ef96bd12a828b

RESEARCH PRODUCT

Networks Describing Dynamical Systems

Eduard BrokanFelix Sadyrbaev

subject

0303 health sciences03 medical and health sciencesDynamical systems theoryQuantitative Biology::Molecular NetworksGeneral Mathematics010102 general mathematicsStatistical physics0101 mathematics01 natural sciences030304 developmental biologyMathematics

description

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.

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