Wiuf, Carsten - Search Results - UAB Digital Repository of Documents

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23 p, 338.8 KB

Conservation laws in biochemical reaction networks / Mahdi, Adam (University of Oxford. Institute of Biomedical Engineering. Department of Engineering Science) ; Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal)) ; Wiuf, Carsten (University of Copenhagen. Department of Mathematical Sciences)
We study the existence of linear and nonlinear conservation laws in biochemical reaction networks with mass-action kinetics. It is straightforward to compute the linear conservation laws as they are related to the left null-space of the stoichiometry matrix. [...]
2017 - DOI (Digital Object Identifier)

10.1137/17M1138418
SIAM Journal on Applied Dynamical Systems, Vol. 16, Issue 4 (2017) , p. 2213-2232

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12 p, 275.2 KB

On Darboux integrability of Edelstein's reaction system in R³ / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica) ; Wiuf, Carsten (Københavns Universitet. Department of Mathematical Sciences)
We consider Edelstein's dynamical system of three reversible reactions in R³ and show that it is not Darboux integrable. To do so we characterize its polynomial first integrals, Darboux polynomials and exponential factors.
2018 - DOI (Digital Object Identifier)

10.1016/j.chaos.2018.01.029
Chaos, solitons and fractals, Vol. 108 (March 2018) , p. 129-135

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