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Field-theoretic model for chemotaxis in run and tumble particles
Purba Chatterjee1, Nigel Goldenfeld1
1Department of Physics, University of Illinois at Urbana-Champaign, Loomis Laboratory of Physics, 1110 West Green Street, Urbana, Illinois, 61801-3080, USA.
This study presents a new field theory for run and tumble chemotaxis, enabling particle-level simulation of collective behaviors and aggregation phenomena in response to external or self-generated signals.
Area of Science:
- Theoretical Physics
- Soft Matter Physics
- Biophysics
Background:
- Chemotaxis, the directed movement of cells in response to chemical gradients, is fundamental to many biological processes.
- Existing models often struggle to capture both continuum collective behavior and particle-level resolution.
Purpose of the Study:
- To develop a novel field-theoretic framework for run and tumble chemotaxis.
- To incorporate multiparticle interactions, repulsion, and elasticity for enhanced realism.
- To simulate and understand particle aggregation mechanisms.
Main Methods:
- Utilized a density-functional approach inspired by crystalline materials.
- Modified the framework to include orientational ordering.
- Integrated multiparticle interactions, soft-core repulsion, and elasticity.
Main Results:
- The model successfully describes continuum collective phases with particle resolution on diffusive timescales.
- Demonstrated particle aggregation in response to external attractant fields.
- Captured particle aggregation via self-chemotaxis, crucial for quorum sensing.
Conclusions:
- The developed field-theoretic model provides a powerful tool for studying collective cell behaviors.
- The framework effectively bridges continuum and particle-based descriptions of chemotaxis.
- It offers insights into aggregation mechanisms relevant to biological systems.
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