biostudies-literatureMontoya AUniversidad Nacional de ColombiaE74https://www.ebi.ac.uk/biostudies/studies/S-EPMC6789494biostudies-literatureUnknown9(3)The goal of our research is the development of algorithmic tools for the analysis of chemical reaction networks proposed as models of biological homochirality. We focus on two algorithmic problems: detecting whether or not a chemical mechanism admits mirror symmetry-breaking; and, given one of those networks as input, sampling the set of racemic steady states that can produce mirror symmetry-breaking. Algorithmic solutions to those two problems will allow us to compute the parameter values for the emergence of homochirality. We found a mathematical criterion for the occurrence of mirror symmetry-breaking. This criterion allows us to compute semialgebraic definitions of the sets of racemic steady states that produce homochirality. Although those semialgebraic definitions can be processed alLife (Basel, Switzerland)Computing the Parameter Values for the Emergence of Homochirality in Complex Networks.PMC6789494HERMES 35497 and 44048Agreda JCruz EMontoya AfalseComputing the Parameter Values for the Emergence of Homochirality in Complex Networks.The goal of our research is the development of algorithmic tools for the analysis of chemical reaction networks proposed as models of biological homochirality. We focus on two algorithmic problems: detecting whether or not a chemical mechanism admits mirror symmetry-breaking; and, given one of those networks as input, sampling the set of racemic steady states that can produce mirror symmetry-breaking. Algorithmic solutions to those two problems will allow us to compute the parameter values for the emergence of homochirality. We found a mathematical criterion for the occurrence of mirror symmetry-breaking. This criterion allows us to compute semialgebraic definitions of the sets of racemic steady states that produce homochirality. Although those semialgebraic definitions can be processed al2019-01-01T00:00:00Z2019 Sep2025-06-01T02:41:26.926Z2025-06-01T02:41:26.926ZS-EPMC67894943154018810.3390/life9030074