IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v28y2006i1p271-277.html
   My bibliography  Save this article

Nonlinear impulsive system of fed-batch culture in fermentative production and its properties

Author

Listed:
  • Gao, Caixia
  • Li, Kezan
  • Feng, Enmin
  • Xiu, Zhilong

Abstract

In this study, the nonlinear dynamical system of fed-batch fermentation is investigated in the process of bio-dissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae. Considering the abrupt increase of glycerol in fed-batch culture, this paper proposes a nonlinear impulsive system of the culture process, which is fit for formulating the factual fermentation better than the continuous models in being. We study the questions of existence and properties of mild solutions for the system and the continuous dependence of solutions on initial values and the controllable variable. Finally, the numerical simulations show that the errors between experimental and computational values using the impulsive system are less than those using the previous continuous system.

Suggested Citation

  • Gao, Caixia & Li, Kezan & Feng, Enmin & Xiu, Zhilong, 2006. "Nonlinear impulsive system of fed-batch culture in fermentative production and its properties," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 271-277.
  • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:271-277
    DOI: 10.1016/j.chaos.2005.05.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905005369
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2005.05.027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gong, Zhaohua, 2010. "A multistage system of microbial fed-batch fermentation and its parameter identification," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1903-1910.
    2. Subalakshmi, R. & Balachandran, K., 2009. "Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in hilbert spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2035-2046.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:271-277. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.