The structure of the moduli spaces of toric dynamical systems [article]

Gheorghe Craciun, Miruna-Stefana Sorea
2020 arXiv   pre-print
We consider complex balanced mass-action systems, also called toric dynamical systems. They are polynomial dynamical systems arising from reaction networks and have remarkable dynamical properties. We study the topological structure of their moduli spaces (i.e., the toric locus). First we show that the complex balanced equilibria depend continuously on the parameter values. Using this result, we prove that the moduli space of any toric dynamical system is connected. In particular, we emphasize
more » ... he product structure of the moduli space: it is homeomorphic to the product of the set of complex balanced flux vectors and the affine invariant polyhedron.
arXiv:2008.11468v1 fatcat:wivzoteoy5e4rebnyfgkzfus3y