  An inhomogeneous profile of chemostatted species generates a rich variety of
patterns in glycolytic waves depicted in a Selkov reaction-diffusion framework
here. A key role played by diffusion amplitude and symmetry in the chemostatted
species profile in dictating the fate of local spatial dynamics involving
periodic, quasiperiodic, and chaotic patterns and transitions among them are
investigated systematically. More importantly, various dynamic transitions,
including wave propagation direction changes, are illustrated in interesting
situations. Besides numerical results, our analytical formulation of the
amplitude equation connecting complex Ginzburg-Landau and Lambda-omega
representation shed light on the phase dynamics of the system. This systematic
study of the glycolytic reaction-diffusion wave is in line with previous
experimental results in the open spatial reactors and will provide knowledge
about the dynamics that shape and control biological information processing and
related phenomena.
