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Plasmid-derived DNA Strand Displacement Gates for Implementing Chemical Reaction Networks
Published on: November 25, 2015
Flux-augmented bifurcation analysis in chemical reaction network systems
Takashi Okada1, Atsushi Mochizuki2, Mikio Furuta3
1RIKEN iTHEMS, Wako, Saitama 351-0198, Japan and Department of Physics and Department of Integrative Biology, University of California, Berkeley, California 94720, USA.
Abstract:
The dynamics of biochemical reaction networks are considered to be responsible for biological functions in living systems. Since real networks are immense and complicated, it is difficult to determine which reactions can cause a significant change of dynamical behaviors, namely, bifurcations. Also to what extent numerical results of network systems depend on the chosen kinetic rate parameters is not known. In this paper, an analytical setting that splits the information of the dynamics into the network structure and reaction kinetics is introduced. This setting possesses a factorization structure for some class of network systems which allows one to determine which subnetworks are responsible for the occurrence of a bifurcation. Subsequently, the bifurcation criteria are reformulated in a manner that allows the efficient determination of relevant reactions for bifurcations.
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