Resumen
We consider linear elimination of variables in the steady state equations of a chem- ical reaction network. Particular subsets of variables corresponding to sets of so-called reactant- noninteracting species, are introduced. The steady state equations for the variables in such a set, taken together with potential linear conservation laws in the variables, define a linear system of equa- tions. We give conditions that guarantee that the solution to this system is nonnegative, provided it is unique. The results are framed in terms of spanning forests of a particular multidigraph derived from the reaction network and thereby conditions for uniqueness and nonnegativity of a solution are derived by means of the multidigraph. Though our motivation comes from applications in systems biology, the results have general applicability in applied sciences.
Idioma original | Inglés |
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Páginas (desde-hasta) | 2434-2455 |
Número de páginas | 22 |
Publicación | SIAM Journal on Applied Mathematics |
Volumen | 79 |
N.º | 6 |
DOI | |
Estado | Publicada - 2019 |
Publicado de forma externa | Sí |