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Generalised approach to modelling a three-tiered microbial food-web.

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This study simplifies complex anaerobic digestion models to analyze microbial food-web stability. It reveals an unstable operating region where all organisms coexist, offering insights into microbial community dynamics.

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Area of Science:

  • Environmental microbiology
  • Biochemical engineering
  • Systems biology

Background:

  • Complex models like Anaerobic Digestion Model No. 1 (ADM1) are used for anaerobic digestion but are difficult to analyze for stability.
  • Previous work simplified ADM1 to a three-tiered food web with Monod kinetics, finding stable steady states where all organisms coexisted.

Purpose of the Study:

  • To investigate the stability of a generalized three-tiered microbial food web with non-Monod kinetics.
  • To analytically characterize steady-state stability without a maintenance term and explore its dependence on operating parameters.
  • To identify critical behaviors and unstable regions in microbial communities under changing conditions.

Main Methods:

  • Developed a generalized food-web model applicable to various growth kinetics.
  • Performed analytical stability analysis for systems without a maintenance term.
  • Utilized numerical analysis for systems including a maintenance term.
  • Examined the impact of parameter variations on system stability and operating diagrams.

Main Results:

  • Without a maintenance term, steady-state stability can be analytically determined, revealing insights into the operating region for coexistence.
  • Identified four cases demonstrating the dependence of the operating diagram on biological parameters for Monod kinetics.
  • Confirmed that the washout steady-state is always stable.
  • Discovered that a switch in dominance between hydrogen-competing organisms leads to instability and loss of viability.
  • Reported a novel unstable operating region where all three organisms coexist in the positive steady-state.

Conclusions:

  • The simplified model and analytical approach provide a better understanding of microbial food-web stability and operating regions.
  • The findings highlight critical phenomena such as the stability of washout and the instability caused by competitive exclusion.
  • This analysis framework can predict critical behaviors in microbial communities facing environmental changes.