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Incorporating Cellular Stochasticity in Solid-Fluid Mixture Biofilm Models.

Ana Carpio¹, Elena Cebrián²

¹Departamento de Matemática Aplicada, Universidad Complutense, 28040 Madrid, Spain.

Entropy (Basel, Switzerland)

|December 8, 2020

Summary

This summary is machine-generated.

This study introduces hybrid models for bacterial biofilm growth, coupling mechanical and chemical fields with cellular automata. These models capture complex behaviors like accelerated spread and wrinkle formation observed in experiments.

Keywords:

Von Karman plate biofilm cell differentiation cellular activity dynamic energy budget osmotic spread solid–fluid mixture thin film wrinkle formation

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Area of Science:

Biophysics
Mathematical Biology
Microbiology

Background:

Cellular aggregate dynamics involve mechanochemical processes and cellular activity.
Deterministic models struggle with stochastic cellular responses crucial for evolution.
Modeling biological media requires incorporating stochastic behavior into macroscopic frameworks.

Purpose of the Study:

To develop hybrid models for bacterial biofilm growth.
To couple mechanical and chemical fields with cellular automata for bacterial activity.
To simulate and understand complex biofilm behaviors.

Main Methods:

Coupling a two-phase solid/fluid mixture for mechanical/chemical fields.
Utilizing dynamic energy budget-based cellular automata for bacterial activity.
Applying thin film and plate approximations for interfaces.

Main Results:

Numerical solutions exhibit experimental observations like accelerated spread due to water intake.
Models reproduce wrinkle formation and undulated contour development.
Inhomogeneous distributions of differentiated bacteria performing varied tasks are observed.

Conclusions:

Hybrid models effectively simulate bacterial biofilm dynamics.
The approach captures emergent behaviors arising from coupled processes.
This framework provides insights into biofilm formation and bacterial differentiation.