Detection of biological switches using the method of Groebner bases.

ABSTRACT: BACKGROUND:Bistability and ability to switch between two stable states is the hallmark of cellular responses. Cellular signaling pathways often contain bistable switches that regulate the transmission of the extracellular information to the nucleus where important biological functions are executed. RESULTS:In this work we show how the method of Gröebner bases can be used to detect bistability and output switchability. The method of Gröebner bases can be seen as a multivariate, non-linear generalization of the Gaussian elimination for linear systems which conveniently seperates the variables and drastically simplifies the simultaneous solution of polynomial equations. A necessary condition for fixed-point state bistability is for the Gröbner basis to have three distinct solutions for the st

SUBMITTER: Arkun Y 

PROVIDER: S-EPMC6883700 | biostudies-literature | 2019 Nov

REPOSITORIES: biostudies-literature