Chemotaxis-Induced Phase Separation

Area of Science:

• Mathematical Biology
• Cellular Dynamics
• Biophysics

Background:

• Chemotaxis enables single-cell self-organization into populations, a phenomenon modeled by Keller-Segel equations.
• Understanding the dynamics of these self-organizing systems is crucial for fields ranging from developmental biology to disease modeling.

Purpose of the Study:

• To provide a generalized theoretical framework for chemotactic aggregation.
• To link chemotactic self-organization with principles of phase separation and reaction-diffusion systems.
• To elucidate the impact of cell growth and death on aggregate formation and stability.

Main Methods:

• Application of a generalized Maxwell construction to model density fluxes and reactive turnover.
• Analysis of how cell growth and death modify aggregate dynamics.
• Connecting the framework to established concepts in phase separation and reaction-diffusion theory.

Main Results:

• Chemotactic aggregation can be described by a balance of density fluxes and reactive turnover.
• Aggregates typically exhibit coarsening dynamics.
• Cell growth and death interrupt and reverse coarsening, leading to stable or dynamic aggregates.
• The theory mechanistically connects chemotaxis to phase separation and reaction-diffusion patterns.

Conclusions:

• A generalized Maxwell construction provides a unified view of chemotactic aggregation.
• Cellular processes like growth and death play a critical role in determining the stability and dynamics of self-organized structures.
• This work bridges the understanding of chemotaxis with broader concepts in physical and chemical pattern formation.