2022/08/12 by Casian Pantea, Pantea, Casian, Galyna Voitiuk +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #92B05 #92C42 #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.2208.06310
openalex publication_date 2022/08/12 · openalex created_date 2022/08/16 · openalex updated_date 2026/07/28
We characterize completely the capacity for (nondegenerate) multistationarity of mass action reaction networks with one-dimensional stoichiometric subspace in terms of reaction structure. Specifically, we show that networks with two or more source complexes have the capacity for multistationarity if and only if they have both patterns (→, \gets) and (\gets, →) in some 1D projections. Moreover, we specify the classes of networks for which only degenerate multiple steady states may occur. In particular, we characterize the capacity for nondegenerate multistationarity of small networks composed of one irreversible and one reversible reaction, or two reversible reactions