@article{38456,
  keywords = {oscillations, budding yeast, continuous   cultures, predictive model, saccharomyces-cerevisiae, spontaneous synchronization},
  author = {Y. C. Zhang and M. A. Henson and Y. G. Kevrekidis},
  title = {Nonlinear model reduction for dynamic analysis of cell population models},
  abstract = { <p>Transient cell population balance models consist of nonlinear partial differential-integro equations. An accurate discretized approximation typically requires a large number of nonlinear ordinary differential equations that are not well suited for dynamic analysis and model based controller design. In this paper, proper orthogonal decomposition (also known as the method of empirical orthogonal eigenfunctions and Karhunen Loeve expansion) is used to construct nonlinear reduced-order models from spatiotemporal data sets obtained via simulations of an accurate discretized yeast cell population model. The short-term and long-term behavior of the reduced-order models are evaluated by comparison to the full-order 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. (C) 2002 Elsevier Science Ltd. All rights reserved.</p> },
  year = {2003},
  journal = {Chemical Engineering Science},
  volume = {58},
  pages = {429-445},
  month = {01/2003},
  isbn = {0009-2509},
  language = {English},
}