An invariant manifold approach for CSTR model reduction in the presence of multi-step biochemical reaction schemes. Application to anaerobic digestion Academic Article uri icon


  • A systematic methodology for CSTR model reduction has been developed for multi-step biochemical reaction schemes. The proposed method neglects the dynamics of the fast steps by projecting the overall system dynamics on the slow-motion invariant manifold of the system. In particular, using reaction invariants in the description of the overall system dynamics, the slow-motion invariant manifold is calculated by solving the pertinent invariance equation via series-solution or singular perturbation techniques. The proposed method is an alternative to the quasi-steady state approximation which does not rely on a priori physical information. The proposed approach is applied to two model reduction problems arising in anaerobic digestion. The results provide a rigorous answer on how to properly eliminate the fast dynamics of the acidogenesis step. 2009 Elsevier B.V. All rights reserved.

published proceedings


author list (cited authors)

  • Stamatelatou, K., Syrou, L., Kravaris, C., & Lyberatos, G.

citation count

  • 19

complete list of authors

  • Stamatelatou, K||Syrou, L||Kravaris, C||Lyberatos, G

publication date

  • August 2009