Exogenous-Endogenous Surfactant Interaction Yields Heterogeneous Spreading in Complex Branching Networks

Area of Science:

• Fluid dynamics
• Surface chemistry
• Complex network analysis

Background:

• Surfactants are known to influence fluid behavior.
• Liquid-filled mazes present a unique challenge for transport dynamics.
• Understanding transport in complex geometries is crucial for biological and engineering applications.

Purpose of the Study:

• To elucidate the mechanism by which surfactants solve liquid-filled mazes.
• To investigate the role of endogenous surfactants in maze-solving dynamics.
• To model surfactant-driven transport in complex networks.

Main Methods:

• Experimental observation of surfactant behavior in liquid mazes.
• Development and application of a nonlinear mathematical model.
• Numerical simulation using a discrete mimetic scheme on a graph.

Main Results:

• Added surfactant interacts with endogenous surface surfactant to drive maze-solving.
• Endogenous surfactant enables a nonlocal understanding of the maze geometry.
• The dynamics demonstrate effective pathfinding through complex network structures.

Conclusions:

• Surfactant-induced dynamics provide a novel mechanism for navigating complex networks.
• Findings offer insights into surfactant transport in systems like lung airways.
• The study highlights the importance of surface interactions in macroscopic transport phenomena.