Cell Growth Models Using Reaction Schemes: Batch Cultivation

Authors

  • Svetoslav Marinov Markov Institute of Mathematics and Informatics Bulgarian Academy of Sciences

DOI:

https://doi.org/10.11145/j.biomath.2013.12.301

Keywords:

cell growth modelling, reaction scheme

Abstract

Simple structured mathematical models of bacterial cell growth are proposed. The modelsВ  involve fractions of bacterial cells relatedВ  toВ  their physiological phases. Reaction schemes involving the biomass of theВ  cell fractions, the substrate and the product are proposed in analogy to reaction schemes in enzyme kinetics. Applying the mass action law these reaction schemesВ  lead toВ  dynamical models represented byВ  systems of ODE's. All parameters of the modelsВ  are rate constants with clear biological or biochemical meaning.В  The proposed models generalizeВ  classical bacterial growth models and offer more flexible tools for modelling and control of biotechnological processes. In this paper the study is focused on batch cultivation models.

Downloads

Published

2014-01-25

Issue

Vol. 2 No. 2 (2013)

Section

Original Articles

License

The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).