Related Experiment Video
Updated: Oct 14, 2025

05:46
Author Spotlight: Studying Bacterial Growth in 3D Hydrogel Matrices
Published on: January 19, 2024
2.6K
Multiscale Modelling of De Novo Anaerobic Granulation
A Tenore1, F Russo2, M R Mattei3
1Department of Mathematics and Applications, University of Naples "Federico II", Via Cintia 1, Monte S' Angelo, 80126, Naples, Italy. alberto.tenore@unina.it.
Bulletin of Mathematical Biology
|November 6, 2021
Summary
This study presents a multiscale mathematical model for anaerobic granulation in bioreactors. The model accurately simulates granule ecology, structure, and dynamics, aiding process optimization.
Area of Science:
- Bioprocess Engineering
- Mathematical Modeling
- Microbial Ecology
Background:
- Granular biofilms are crucial in wastewater treatment and other bioprocesses.
- Understanding de novo granulation and multispecies biofilm evolution is key for optimizing bioreactor performance.
- Existing models often lack the multiscale and multispecies complexity required for accurate prediction.
Purpose of the Study:
- To develop and validate a multiscale mathematical model for de novo granulation and multispecies granular biofilm evolution.
- To explore the ecological dynamics, biomass distribution, and dimensional changes within anaerobic granules.
- To investigate the influence of various operational parameters on the granulation process.
Main Methods:
- A multiscale mathematical model was developed, treating granules as spherical free boundary domains with radial symmetry.
- Nonlinear hyperbolic PDEs described sessile microbial growth, while quasi-linear parabolic PDEs modeled substrate and invading species dynamics.
- Nonlinear ODEs governed soluble substrates and planktonic biomass in the bulk liquid. Numerical solutions were used for analysis.
Main Results:
- The model successfully reproduced the concentric layering and ecology of anaerobic granules observed experimentally.
- Numerical simulations confirmed the model's ability to predict granule dimensional evolution and substrate dynamics.
- The model demonstrated predictive power for factors like influent composition and granulation properties.
Conclusions:
- The developed multiscale mathematical model provides a robust framework for understanding and predicting anaerobic granulation.
- The model accurately captures the complex interplay of microbial ecology, biomass dynamics, and physical processes in granular biofilms.
- This tool can guide the optimization of bioreactor design and operation for enhanced wastewater treatment and bioprocessing.

