ArticleScientific reports2025
Numerical modeling of oxygen diffusion in tissue spheroids undergoing fusion using function representation and finite volumes.
Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Article
- Challenges and opportunities in generating microvasculature using bioprinting techniques.npj biomedical innovations · 2026Review
- A high-throughput 3D conjunctival spheroid model for standardized in vitro testing.Scientific reports · 2026Article
- Click-crosslinked nanogels integrated into 3D stem cell spheroids enhance regenerative function for swallowing muscle repair.Biomaterials · 2026Article
- Bottom-up Biomaterial strategies for creating tailored stem cells in regenerative medicine.Frontiers in bioengineering and biotechnology · 2025Review
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4 authors.
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Abstract
A three-dimensional cell culture called a spheroid serves as a foundational entity in a wide variety of modern tissue engineering applications, including 3D-bioprinting and preclinical drug testing. Lack of oxygen within tissue spheroids hinders metabolism of cells and eventually leads to cell death. Prevention of necrosis is crucial to success of tissue engineering methods and such prevention requires estimation of cell viability in the spheroid. We propose a novel approach for numerical modeling of diffusion in tissue spheroids during their fusion. The approach is based on numerical solutions of partial differential equations and the application of Function Representation (FRep) framework for geometric modeling. We present modeling of oxygen diffusion based on meshes derived from the geometry of fusing spheroids, a method for selecting optimal spheroid size, and several statistics for estimating cellular viability. Our findings provide insights into oxygen diffusion in three-dimensional cell cultures thus improving the robustness of biotechnological methods that employ tissue spheroids.
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