Artículo
Toric dynamical systems
Fecha de publicación:
05/2009
Editorial:
Academic Press Ltd - Elsevier Science Ltd
Revista:
Journal Of Symbolic Computation
ISSN:
0747-7171
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Toric dynamical systems are known as complex balancing mass action systems in the mathematical chemistry literature, where many of their remarkable properties have been established. They include as special cases all deficiency zero systems and all detailed balancing systems. One feature is that the steady state locus of a toric dynamical system is a toric variety, which has a unique point within each invariant polyhedron. We develop the basic theory of toric dynamical systems in the context of computational algebraic geometry and show that the associated moduli space is also a toric variety. It is conjectured that the complex balancing state is a global attractor. We prove this for detailed balancing systems whose invariant polyhedron is two-dimensional and bounded.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Craciun, Gheorghe; Dickenstein, Alicia Marcela; Shiu, Anne; Sturmfels, Bernd; Toric dynamical systems; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 44; 11; 5-2009; 1551-1565
Compartir
Altmétricas