@inbook{38466,
  keywords = {dynamics, bifurcation, saccharomyces-cerevisiae, continuous cultures},
  author = {Y. C. Zhang and M. A. Henson and Y. G. Kevrekidis},
  title = {Nonlinear order reduction of discretized cell population models},
  abstract = { <p>Dynamic cell population balance models consist of nonlinear partial differential-integro equations. An accurate discretized approximation typically yields a large number of nonlinear ordinary differential equations which are not well suited for dynamic analysis and model-based controller design. In this paper, proper orthogonal decomposition is used to construct nonlinear reduced-order models from spatiotemporal data sets obtained via simulation of an accurate discretized cell population model. Dynamic simulation and bifurcation analysis results demonstrate that reduced-order models with a comparatively small number of differential equations yield accurate predictions over a wide range of operating conditions. We study the spectrum of the linearized model as a function of the level of discretization probing the existence of spectral gaps which typically lead to good model reduction.</p> },
  year = {2003},
  journal = {Proceedings of the 2003 American Control Conference, Vols 1-6},
  pages = {2383-2388},
  publisher = {Ieee},
  address = {New York},
  isbn = {0-7803-7896-2},
  language = {English},
}