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Diauxic Growth at the Mesoscopic Scale.

Mirosław Lachowicz1, Mateusz Dȩbowski1

  • 1Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

This study explores mesoscopic models to understand diauxic growth, a biological phenomenon. Researchers developed nonlinear models that directly produce diauxic growth at the macroscopic level.

Keywords:
diauxic growthintegro-differential equationsmesoscopic modelreplicator equation

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Area of Science:

  • Mathematical Biology
  • Theoretical Ecology
  • Biophysics

Background:

  • Diauxic growth, a sequential utilization of resources, is typically observed at the macroscopic level.
  • Existing models often focus on macroscopic or logistic scales, leaving the mesoscopic origins of diauxic growth less explored.

Purpose of the Study:

  • To investigate the potential of mesoscopic models in generating diauxic growth.
  • To develop novel nonlinear mesoscopic models that exhibit diauxic growth behavior.

Main Methods:

  • Development of various nonlinear mesoscopic models, considering both conservative and non-conservative systems.
  • Analysis of model outputs to identify conditions leading to diauxic growth patterns.

Main Results:

  • Successfully proposed mesoscopic models capable of producing diauxic growth.
  • Demonstrated that nonlinear dynamics at the mesoscopic scale can directly translate to macroscopic diauxic growth.

Conclusions:

  • Mesoscopic modeling offers a viable framework for understanding the mechanisms underlying diauxic growth.
  • The developed nonlinear models provide a foundation for further research into the microscopic origins of this biological phenomenon.