A continuum multi-species bacterial growth model with a novel interaction scheme

Area of Science:

• Microbiology
• Mathematical Biology
• Computational Science

Background:

• Biofilms are ubiquitous microbial communities influencing human health and industry.
• Understanding inter-species interactions and environmental responses within biofilms is crucial.
• Mathematical modeling and in silico experiments are vital tools for biofilm research.

Purpose of the Study:

• To develop a comprehensive, continuum-based mathematical model for multi-species biofilm development.
• To create a versatile model applicable to diverse bacterial interactions and environmental factors.
• To provide a user-friendly modeling tool for researchers, including those new to mathematical modeling.

Main Methods:

• Development of a multi-species continuum-based model using Hamilton's principle of stationary action.
• Incorporation of nutrient dynamics and antibiotic agent effects.
• Thermodynamic consistency ensured through the derivation method.

Main Results:

• The model successfully simulates the development of bacterial populations within biofilms.
• It replicates complex interaction patterns among multiple species.
• The model demonstrates qualitative accuracy in reproducing biofilm dynamics.

Conclusions:

• The presented model offers a robust framework for studying multi-species biofilms.
• It enhances understanding of microbial community behavior and response to stimuli.
• This tool can guide future experimental research and reduce associated costs.