[An approximate solution to the integral equation by using non serial cuts (author's transl)]

Area of Science:

• Quantitative cytology
• Biophysical techniques
• Mathematical modeling

Context:

• Addresses limitations of serial sectioning in quantitative cytology.
• Introduces non-serial cuts as a novel approach.
• Builds upon Wicksell's problem formulation.

Purpose:

• To adapt Wicksell's problem for non-serial sectioning in quantitative cytology.
• To develop an approximate solution using numerical analysis techniques.
• To validate theoretical findings with experimental data.

Summary:

• Reformulates Wicksell's problem for quantitative cytology using non-serial cuts.
• Employs numerical analysis for an approximate solution.
• Demonstrates agreement between theoretical predictions and experimental results from human and rat red blood cells.

Impact:

• Provides a new methodological approach for quantitative cytology.
• Enhances the applicability of Wicksell's problem to modern techniques.
• Offers a validated method for cell size and shape analysis.