  In living cells, chemical reactions form a complex network. Complicated
dynamics arising from such networks are the origins of biological functions. We
propose a novel mathematical method to analyze bifurcation behaviors of a
reaction system from the network structure alone. The whole network is
decomposed into subnetworks based on "buffering structures". For each
subnetwork, the bifurcation condition is studied independently, and the
parameters that can induce bifurcations and the chemicals that can exhibit
bifurcations are determined. We demonstrate our theory using hypothetical and
real networks.
