2024/09/24 by Cai, May, Matthias Himmelmann, Himmelmann, Matthias +2
Biochemistry, Genetics and Molecular Biology · Computer Science · #14Q99 #68W30 #92-08 #92C42 #Algebraic Geometry (math.AG) #Cellular Automata and Applications #DNA and Biological Computing #FOS: Mathematics #Fractal and DNA sequence analysis #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2409.16234
openalex publication_date 2024/09/24 · openalex created_date 2024/10/26 · openalex updated_date 2026/08/01
The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of kinetic parameters, this system exhibits multistationarity, a property that is relevant in the decision-making of cells. Determining which reaction rate constants correspond to monostationarity and which produce multistationarity is an open problem. The system's monostationarity is linked to the nonnegativity of a specific polynomial. A previous study by Feliu et al. provides a sufficient condition for monostationarity via a decomposition of this polynomial into nonnegative circuit polynomials. However, this decomposition is not unique. We extend their work by a systematic approach to classifying such decompositions in the dual phosphorylation network. Using this result classification, we provide a qualitative comparison of the decompositions into nonnegative circuit polynomials via empirical experiments and improve on previous conditions for the region of monostationarity.