A chemotaxis model of feather primordia pattern formation during avian development

Area of Science:

• Developmental biology
• Mathematical modeling
• Pattern formation

Background:

• Avian feather array formation is a model for embryonic periodic pattern formation.
• Existing models include reaction-diffusion and cell-movement based systems.
• Key cellular and molecular players are dermal/epidermal cells and FGF/BMP signaling.

Purpose of the Study:

• To formulate a mathematical model of avian feather patterning based on experimental findings.
• To identify the primary drivers and inhibitors of feather pattern formation.
• To simulate and predict outcomes of developmental perturbations.

Main Methods:

• Formulation of a mathematical model incorporating cellular and molecular interactions.
• Linear stability analysis to determine critical factors in patterning.
• Numerical simulations to replicate spatial-temporal pattern development.
• Recapitulation of experimental bead-displacement perturbations.

Main Results:

• FGF-mediated chemotaxis of dermal cells is identified as the crucial driver of feather pattern formation.
• High BMP expression suppresses pattern formation, aligning with experimental data.
• Numerical simulations successfully mimic avian skin patterning.
• Model recapitulates experimental results and proposes new predictions.

Conclusions:

• The developed mathematical model accurately describes avian feather array formation.
• FGF signaling and dermal cell chemotaxis are essential for feather patterning.
• BMP signaling acts as a suppressor of feather pattern formation.
• The model provides a framework for understanding developmental processes and predicting experimental outcomes.