Mathematical Approaches of Branching Morphogenesis.

Area of Science:

• Developmental Biology
• Systems Biology
• Mathematical Modeling

Background:

• Branching morphogenesis is essential for organ function, creating high surface-to-volume ratios in organs like lungs and kidneys.
• Lung and kidney branching share signaling networks but differ in temporal and spatial development, influenced by specific morphogens like FGF10 (lung) and GDNF (kidney).
• While key signaling proteins are identified, the precise mechanisms controlling branching morphogenesis remain unclear.

Purpose of the Study:

• To review mathematical models of lung and kidney branching morphogenesis.
• To explore how different modeling approaches can elucidate the control mechanisms of branching.
• To propose a potential general mechanism for adaptive branching control.

Main Methods:

• Review of existing mathematical models for branching morphogenesis.
• Analysis of image-based modeling approaches utilizing advanced imaging techniques.
• Discussion of ligand-receptor signaling networks and their role in development.

Main Results:

• Branching morphogenesis in lungs and kidneys involves conserved ligand-receptor signaling networks.
• Distinct temporal and spatial dynamics lead to organ-specific shapes and sizes despite shared pathways.
• FGF10 and GDNF pathways, converging on ETV4/5, are critical for lung and kidney development, respectively.

Conclusions:

• A ligand-receptor-based Turing model is proposed as a potential general and adaptive mechanism for controlling branching morphogenesis.
• Image-based modeling offers valuable insights into organ-specific branching control.
• Further research integrating mathematical modeling with experimental data is needed to fully understand branching morphogenesis.