An anisotropic interaction model for simulating fingerprints.

Area of Science:

• Dermatology
• Biophysics
• Developmental Biology

Background:

• Merkel cell interactions and epidermal stress are crucial for fingerprint pattern development during pregnancy.
• Existing models require patterns to be stationary for biological relevance and synthetic fingerprint generation.

Purpose of the Study:

• To propose a novel, biologically meaningful model for fingerprint pattern formation during pregnancy.
• To ensure the model produces stationary fingerprint patterns and allows for parameter rescaling.

Main Methods:

• Developed an anisotropic interaction model based on Kücken and Champod's work.
• Incorporated an underlying tensor field representing epidermal stress into cell interaction forces.
• Analyzed stationary patterns using both analytical and numerical methods.

Main Results:

• The new model demonstrates that anisotropic interactions, influenced by stress fields, generate complex fingerprint patterns.
• Stationary fingerprint patterns can be achieved by appropriately selecting the underlying tensor field.
• The model supports the creation of synthetic fingerprints with rescaled ridge distances.

Conclusions:

• The proposed anisotropic interaction model accurately captures key aspects of fingerprint pattern formation during pregnancy.
• Epidermal stress fields play a significant role in determining the characteristics of fingerprint patterns.
• This model offers a robust framework for understanding and simulating fingerprint development.