Polynomial Superlevel Set Representation of the Multistationarity Region of Chemical Reaction Networks

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In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the formerly existing representations (cylindrical algebraic decompositions, numeric sampling, rectangular division) is discussed, and algorithms to compute this new representation are provided. The results are given for the general mathematical formalism of a parametric system of equations and therefore can be used in other application areas.
Original languageEnglish
Article number391
Number of pages26
JournalBMC Bioinformatics
Issue number1
Publication statusPublished - 27 Sept 2022

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EPSRC Grant EP/T015748/1


  • polynomial superlevel set
  • steady states
  • multistationarity
  • cylindrical algebraic decomposition
  • parameter analysis


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