Coupling Turing stripes to active flows.

Area of Science:

• Active Matter Physics
• Chemical Pattern Formation
• Theoretical Biology

Background:

• Turing instabilities generate spatial patterns through reaction-diffusion mechanisms.
• Active nematic hydrodynamics describes systems with self-propelled, orientational order.
• Understanding mechanochemical coupling is crucial for biological self-organization.

Purpose of the Study:

• To investigate how active nematic flow influences Turing-generated stripe patterns.
• To explore pattern dynamics under uniform versus coupled active nematic activity.
• To elucidate the role of active instabilities in pattern selection.

Main Methods:

• Numerical solution of coupled active nematohydrodynamic and Turing reaction-diffusion equations.
• Analysis of pattern dissociation and self-organization under varying activity conditions.
• Investigation of active instabilities driving pattern transitions.

Main Results:

• Uniform active nematic activity leads to Turing pattern dissociation when advection flux balances reaction-diffusion.
• Coupled activity, with opposing fluxes in neighboring stripes, induces self-organized shearing flows and stripe fracture/slippage.
• Active instabilities govern the transition between uniform and coupled activity regimes.

Conclusions:

• Active nematic flows significantly alter Turing pattern formation and stability.
• Self-organization into shearing flows demonstrates emergent behavior in active matter systems.
• Findings provide insights into mechanochemical coupling in biological pattern development.