2021-08-02T08:07:41Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/192575
2019-10-15T01:04:20Z
com_10261_47
com_10261_8
col_10261_300
00925njm 22002777a 4500
dc
Gábor, Attila
author
Hangos, Katalin M.
author
Szederkényi, Gábor
author
2016
In this paper we show that the model form of a wide class of kinetic systems with rational terms in the reaction rates is invariant under a positive linear diagonal transformation. Thus, the concept of linear conjugacy defined originally for mass action systems is extended to rational biochemical models. The generalized Kirchhoff matrix and the kinetic weighting matrix of the linearly conjugate models are given as functions of the computed transformation parameters. It is shown through the illustrative examples that the dense realization of a linearly conjugate rational model may contain more reactions than that of a dynamically equivalent one due to the additional degrees of freedom introduced by the linear transformation. The proposed matrix-based representation is suitable for the computational search of preferred graph structures corresponding to linearly conjugate realizations of rational kinetic models
Journal of Mathematical Chemistry 54(8): 1658–1676 (2016)
0259-9791
http://hdl.handle.net/10261/192575
http://dx.doi.org/10.1007/s10910-016-0642-7
1572-8897
Chemical reaction networks
Linear conjugacy
Reaction graph
Rational reaction rates
Linear conjugacy in biochemical reaction networks with rational reaction rates