INVESTIGADORES
DICKENSTEIN Alicia Marcela
artículos
Título:
Toric Dynamical Systems
Autor/es:
G. CRACIUN, A. DICKENSTEIN, A. SHIU, B. STURMFELS
Revista:
JOURNAL OF SYMBOLIC COMPUTATION
Editorial:
ACADEMIC PRESS LTD-ELSEVIER SCIENCE LTD
Referencias:
Año: 2009 vol. 44 p. 1551 - 1565
ISSN:
0747-7171
Resumen:
Toric dynamical systems are known as complex balancing massaction systems in the mathematical chemistry literature, wheremany of their remarkable properties have been established. Theyinclude as special cases all deficiency zero systems and all detailedbalancing systems. One feature is that the steady state locus of atoric dynamical system is a toric variety, which has a unique pointwithin each invariant polyhedron. We develop the basic theory oftoric dynamical systems in the context of computational algebraicgeometry and show that the associated moduli space is also atoric variety. It is conjectured that the complex balancing state isa global attractor. We prove this for detailed balancing systemswhose invariant polyhedron is two-dimensional and bounded.
