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Published on: August 7, 2020
A mathematical model of liver cell aggregation in vitro
J E F Green1, S L Waters, K M Shakesheff
1Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK. egreen@mbi.osu.edu
Mammalian cell aggregation in 3D cultures, particularly for liver cells (hepatocytes), is key for tissue engineering. A mathematical model shows that cell density and cell-extracellular matrix interactions influence aggregate formation.
Area of Science:
- Biophysics
- Cell Biology
- Tissue Engineering
Background:
- Mammalian cell behavior in 3D structures is crucial for tissue engineering.
- Hepatocyte spheroidal aggregates enhance cell viability and function over 2D cultures.
Purpose of the Study:
- To develop a mathematical model for early-stage hepatocyte aggregation on extracellular matrix (ECM).
- To investigate the influence of cell-ECM interactions and substrate properties on aggregate formation.
Main Methods:
- Derivation of governing equations using mass and momentum balance for cells, medium, and ECM.
- Reduction to a system of four partial differential equations.
- Analytical and numerical investigation of the model.
Main Results:
- Model predicts formation of aggregates with defined boundaries and uniform internal cell density at suitable seeding densities.
- ECM mechanical properties showed minimal impact on aggregate formation.
- Strong cell-ECM interactions can inhibit or prevent aggregate formation.
Conclusions:
- Mathematical modeling provides insights into early-stage 3D cell aggregation.
- Cell seeding density and cell-ECM interactions are critical factors in hepatocyte aggregate formation.
- Further research should explore these interactions for optimized tissue regeneration strategies.
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