From classical models of morphogenesis to agent-based models of pattern formation

Area of Science:

• Complex Systems
• Theoretical Biology
• Artificial Intelligence

Background:

• Extensive theoretical research exists on pattern formation.
• Experimental validation of theoretical models remains limited.
• Bridging theory and experiment is essential for advancing pattern formation studies.

Purpose of the Study:

• Introduce and exemplify agent-based pattern formation.
• Propose agent-based systems as a framework for studying natural pattern formation.
• Highlight the necessity of a theory for agent-based pattern formation.

Main Methods:

• Conceptual framework development.
• Introduction of agent-based pattern formation.
• Derivation of theory from existing pattern formation models.

Main Results:

• Agent-based pattern formation provides a more experimentally accessible approach.
• Understanding agent-based systems is key for designing artificial pattern-forming systems.
• A theory for agent-based pattern formation can be derived from current theories.

Conclusions:

• Agent-based pattern formation is a promising avenue for experimental research.
• Theoretical development is required for practical applications in artificial systems.
• This approach unifies the study of natural and artificial pattern formation.