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A Systematically Reduced Mathematical Model for Organoid Expansion
Meredith A Ellis1, Mohit P Dalwadi1, Marianne J Ellis2,3
1Mathematical Institute, University of Oxford, Oxford, United Kingdom.
Frontiers in Bioengineering and Biotechnology
|June 28, 2021
Summary
This study models organoid bioreactors to optimize nutrient delivery and waste removal. Mathematical modeling helps control metabolite levels for improved organoid production quality and quantity.
Area of Science:
- Biotechnology
- Bioreactor Engineering
- Mathematical Modeling
Background:
- Organoids mimic in vivo tissues for applications like drug discovery.
- Scaling up organoid production requires efficient, reproducible methods.
- Bioreactors with controlled fluid flow enhance organoid mass transport.
Purpose of the Study:
- To develop a mathematical model for organoid bioreactors.
- To investigate mass transport of glucose and lactate.
- To optimize bioreactor conditions for scalable organoid production.
Main Methods:
- Developed a continuum mathematical model of the bioreactor.
- Simplified the model using thin geometry assumptions.
- Simulated metabolite transport (glucose and lactate) based on flow rate and cell density.
Main Results:
- Reduced model accurately predicts metabolite distributions.
- Quantified bioreactor performance using metrics like glucose conversion and lactate concentration.
- Determined the impact of organoid characteristics and flow rate on metabolite levels.
Conclusions:
- Mathematical modeling provides insights into bioreactor operation.
- Optimized conditions improve organoid quality and yield.
- This work informs bioreactor design for large-scale organoid expansion.

