• openAccess   Conservation Laws in Biochemical Reaction Networks 

      Adam, Mahdi; Ferragut, Antoni; Valls, Claudia; Carsten, Wiuf Society for Industrial and Applied Mathematics (2017)
      We study the existence of linear and non-linear conservation laws in biochemical reaction networks with mass-action kinetics. It is straightforward to compute the linear conservation laws as they are related to the left ...
    • openAccess   On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5 

      Ferragut, Antoni; Valls, Claudia (2018-04)
      We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in ℝ4 ) and a chemical reaction model in ℝ5 . We prove that the first one is completely ...
    • openAccess   On the Darboux integrability of a cubic CRN model in R-5 

      Ferragut, Antoni; Valls, Claudia Elsevier (2016-01)
      We study the Darboux integrability of a differential system in R5R5 with parameters coming from a chemical reaction model. In particular, we find all its Darboux polynomials and exponential factors and we prove that it is ...
    • openAccess   On the Liouville integrability of Edelstein’s reaction system in R-3 

      Ferragut, Antoni; Valls, Claudia; Carsten, Wiuf Elsevier (2018-03)
      We consider Edelstein's dynamical system of three reversible reactions in R-3 and show that it is not Liouville (hence also not Darboux) integrable. To do so, we characterize its polynomial first integrals, Darboux polynomials ...
    • openAccess   Phase portraits of Abel quadratic differential systems of the second kind 

      Ferragut, Antoni; Valls, Claudia Taylor & Francis (2018)
      We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.