Stochastic dynamics of chemotactic colonies with logistic growth
arXiv:2111.08508 · doi:10.1209/0295-5075/ac48c9
Abstract
The interplay between cellular growth and cell-cell signaling is essential for the aggregation and proliferation of bacterial colonies, as well as for the self-organization of cell tissues. To investigate this interplay, we focus here on the collective properties of dividing chemotactic cell colonies by studying their long-time and large-scale dynamics through a renormalization group (RG) approach. The RG analysis reveals that a relevant but unconventional chemotactic interaction -- corresponding to a polarity-induced mechanism -- is generated by fluctuations at macroscopic scales, even when an underlying mechanism is absent at the microscopic level. This emerges from the interplay of the well-known Keller--Segel (KS) chemotactic nonlinearity and cell birth and death processes. At one-loop order, we find no stable fixed point of the RG flow equations. We discuss a connection between the dynamics investigated here and the celebrated Kardar--Parisi--Zhang (KPZ) equation with long-range correlated noise, which points at the existence of a strong-coupling, nonperturbative fixed point.
arXiv commentThe first three authors contributed equally. Typos corrected
References in corpus (26)
- The nonperturbative functional renormalization group and its applications
- Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
- Langevin Equation for the Density of a System of Interacting Langevin Processes
- Anomalous Diffusion of Symmetric and Asymmetric Active Colloids
- Active phase separation in mixtures of chemically interacting particles
- Collective Thermotaxis of Thermally Active Colloids
- Phoresis and Enhanced Diffusion Compete in Enzyme Chemotaxis
- Non-perturbative renormalisation group for the Kardar-Parisi-Zhang equation: general framework and first applications
- Symmetries of generating functionals of Langevin processes with colored multiplicative noise
- On the Perturbation Expansion of the KPZ-Equation
- On the Renormalization of the Kardar-Parisi-Zhang equation
- Strong-coupling dynamics of a multi-cellular chemotactic system
- From bulk to microphase separation in scalar active matter: A perturbative renormalization group analysis
- Collective Dynamics of Dividing Chemotactic Cells
- Dynamics of a microorganism moving by chemotaxis in its own secretion
- Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
- Universal Critical Behavior of Noisy Coupled Oscillators
- Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
- The Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group
- Kinetic and hydrodynamic models of chemotactic aggregation
- Dynamical renormalization group approach to the collective behaviour of swarms
- Nonequilibrium polarity-induced mechanism for chemotaxis: emergent Galilean symmetry and exact scaling exponents
- Strong coupling in conserved surface roughening: A new universality class?
- Langevin equations for reaction-diffusion processes
- Non-universality in the erosion of tilted landscapes
- Fixed Renormalization Group Analysis of Conserved Surface Roughening