Emergence of function from coordinated cells in a tissue.

Area of Science:

• Mathematical Biology
• Systems Biology
• Genomics

Background:

• Understanding tissue homeostasis is crucial for developmental biology and disease research.
• Existing models often focus on single-level dynamics (either intracellular or intercellular).
• A unified approach is needed to capture emergent tissue functions.

Purpose of the Study:

• To develop a mathematical framework for tissue dynamics.
• To investigate the emergence of tissue function from intracellular and intercellular processes.
• To identify conditions ensuring stable tissue organization.

Main Methods:

• Development of a mathematical model integrating within-cell genome dynamics and intercellular diffusion.
• Introduction of novel concepts: monotonicity and weak hardwiring.
• Analysis of global convergence properties of the tissue dynamics.

Main Results:

• The synthesis of genome dynamics and cell diffusion leads to emergent tissue function.
• Monotonicity and weak hardwiring are identified as key principles governing tissue stability.
• These principles guarantee global convergence of the tissue dynamics towards a stable state.

Conclusions:

• The proposed mathematical framework successfully models emergent tissue homeostasis.
• Monotonicity and weak hardwiring are sufficient conditions for achieving stable tissue organization.
• This work provides a foundation for understanding tissue self-organization and stability.