A simple procedure for simulating samples of tissue using Voronoi diagrams.

Area of Science:

• Computational biology
• Biophysics
• Tissue engineering

Background:

• Voronoi diagrams are essential for modeling cellular structures.
• Traditional methods for generating Voronoi diagrams in biological samples are computationally intensive.

Purpose of the Study:

• To present a simplified and rapid computational procedure for modeling tissue samples using Voronoi diagrams.
• To offer an efficient alternative to existing geometric methods for cell-based modeling.

Main Methods:

• The study utilizes the centroid of cell areas instead of Dirichlet domain centers for Voronoi diagram generation.
• Centroid coordinates are calculated by averaging cell contour points, a significantly faster approach.
• Simulations involve growing circles from centroids until space is filled, allowing control over cell growth rates and the removal of cells.

Main Results:

• The novel Voronoi diagram procedure was successfully applied to model changes in human corneal endothelium tissue samples.
• The method demonstrated simplicity, full automation, efficiency, and flexibility.

Conclusions:

• This computational approach provides an effective and accessible tool for simulating cell growth and communication strategies.
• The procedure is easily implementable on personal computers, facilitating research in tissue dynamics.