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Operation of Laboratory Photobioreactors with Online Growth Measurements and Customizable Light Regimes
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Dynamical behaviour of single photobioreactor with variable yield coefficient.

Md Shariful Islam1, Touhid Hossain1, Mir Shariful Islam2,3,4

  • 1Department of Mathematics, University of Dhaka, Bangladesh.

Heliyon
|January 2, 2023
PubMed
Summary
This summary is machine-generated.

This study investigates bioreactor dynamics using a modified Haldane expression, finding natural oscillations occur at lower substrate concentrations than previously shown with Monod models. This research optimizes bioreactor performance and stability.

Keywords:
BifurcationBioreactorChemostat modelModified haldane modelResidence time

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Area of Science:

  • Biotechnology
  • Chemical Engineering
  • Mathematical Biology

Background:

  • Bioreactors are crucial for biological processes, with their performance often limited by microbial growth kinetics.
  • Previous models, like the Monod expression, have been used to describe microbial growth and predict bioreactor behavior.
  • Understanding natural oscillations (Hopf Bifurcation) is key to optimizing bioreactor stability and productivity.

Purpose of the Study:

  • To analyze the dynamical properties of a bioreactor model with a modified Haldane growth rate expression.
  • To determine conditions for steady-state solutions (washout and no washout) and optimize bioreactor performance.
  • To investigate the occurrence of natural oscillations and their dependence on parameter values.

Main Methods:

  • Analytical determination of steady-state conditions and stability.
  • Numerical simulations to explore dynamical behavior and parameter space.
  • Comparison of results with existing Monod-based models.

Main Results:

  • Established analytic conditions for the existence of washout and no washout steady states.
  • Identified parameters for optimizing bioreactor performance under no washout conditions.
  • Determined the parameter ranges for natural oscillations (Hopf Bifurcation).
  • Demonstrated that natural oscillations can be achieved at significantly lower substrate concentrations compared to Monod models.

Conclusions:

  • The modified Haldane model offers a valuable framework for understanding bioreactor dynamics and oscillations.
  • Optimized bioreactor performance is achievable, with natural oscillations occurring under specific conditions.
  • This model provides a pathway to achieving oscillations with lower substrate requirements, enhancing process efficiency.