id: 06040025
dt: j
an: 06040025
au: Johnston, Matthew D.; Siegel, David; Szederkényi, Gábor
ti: A linear programming approach to weak reversibility and linear conjugacy of
    chemical reaction networks.
so: J. Math. Chem. 50, No. 1, 274-288 (2012).
py: 2012
pu: Springer, Dordrecht
la: EN
cc: 
ut: chemical kinetics; stability theory; dynamical equivalence
ci: 
li: doi:10.1007/s10910-011-9911-7
ab: Summary: A numerically effective procedure for determining weakly
    reversible chemical reaction networks that are linearly conjugate to a
    known reaction network is proposed. The method is based on translating
    the structural and algebraic characteristics of weak reversibility to
    logical statements and solving the obtained set of linear
    (in)equalities in the framework of mixed integer linear programming.
    The unknowns in the problem are the reaction rate coefficients and the
    parameters of the linear conjugacy transformation. The efficacy of the
    approach is shown through numerical examples.
rv: