FIG 1 - uploaded by Charlie Duclut
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Schematics of a system of chemotactic particles. The particles (shown as light green blobs) secret chemicals that are pictured as light blue dots. The red arrows at each point represent the chemotactic force corresponding to the µ1 term in Eq. (11). The white arrows show forces stemming from polarization mechanisms and correspond to the µ2 term in the same equation.
Source publication
Understanding the hierarchical self-organization of living systems is one of the biggest conceptual challenges of the present century. A generically observed mechanism that drives such organization is interaction among the individual elements---which may represent cells, bacteria, or even enzymes---via chemical signals. We use dynamical renormaliza...
Contexts in source publication
Context 1
... have been applied to a wide range of models of biological or synthetic colonies such as flocks of birds, schools of fish, aggregations of molecular motors, chemotactic particle, and active phase separation [41][42][43][44][45][46]. Here, we investigate the large-scale behavior of systems consisting of particles with chemotactic interactions (see Fig. 1) using a dynamical renormalization group (RG) treatment of the Langevin equation governing the particle density. Noting that the KellerSegel description of chemotaxis [25] resembles an expansion in terms of the spatial gradient of the chemical signals, we extend this expansion and find a previously overlooked chemotactic nonlinear term ...
Context 2
... that the two terms depend differently on the properties of the chemical gradient vector field, as schematically represented in Fig. 1. These two microscopic mechanisms can be incorporated into an effective field theoretical description to study the large-scale collective properties of such systems (see below). In the resulting framework that is represented by Eq. (11), which governs the time evolution of the fluctuations in the stochastic density (denoted by ρ), the ...
Context 3
... consider a system of mobile particles which sense and respond to the gradients of chemical signals in their surrounding medium, as sketched in Fig. 1, and study it in the overdamped regime, typical of biological situations. Chemical signals are secreted at a constant rate by all particles in the system, creating a chemical concentration field whose spatial average is increasing in time. The fluctuations of the chemical concentration are responsible for non-zero gradients which, in ...
Context 4
... have been applied to a wide range of models of biological or synthetic colonies such as flocks of birds, schools of fish, aggregations of molecular motors, chemotactic particle, and active phase separation [41][42][43][44][45][46]. Here, we investigate the large-scale behavior of systems consisting of particles with chemotactic interactions (see Fig. 1) using a dynamical renormalization group (RG) treatment of the Langevin equation governing the particle density. Noting that the KellerSegel description of chemotaxis [25] resembles an expansion in terms of the spatial gradient of the chemical signals, we extend this expansion and find a previously overlooked chemotactic nonlinear term ...
Context 5
... that the two terms depend differently on the properties of the chemical gradient vector field, as schematically represented in Fig. 1. These two microscopic mechanisms can be incorporated into an effective field theoretical description to study the large-scale collective properties of such systems (see below). In the resulting framework that is represented by Eq. (11), which governs the time evolution of the fluctuations in the stochastic density (denoted by ρ), the ...
Context 6
... consider a system of mobile particles which sense and respond to the gradients of chemical signals in their surrounding medium, as sketched in Fig. 1, and study it in the overdamped regime, typical of biological situations. Chemical signals are secreted at a constant rate by all particles in the system, creating a chemical concentration field whose spatial average is increasing in time. The fluctuations of the chemical concentration are responsible for non-zero gradients which, in ...
