Kavli Affiliate: L. Mahadevan
| First 5 Authors: S Ganga Prasath, L Mahadevan, , ,
| Summary:
The physics of signal propagation in a collection of organisms that
communicate with each other both enables and limits how active excitations at
the individual level reach, recruit and lead to collective patterning. Inspired
by the patterns in a planar swarm of bees that release pheromones, and use
fanning flows to recruit additional bees, we develop a theoretical framework
for patterning via active flow-based recruitment. Our model generalizes the
well-known Patlak-Keller-Segel model of diffusion-dominated aggregation and
leads to more complex phase space of patterns spanned by two dimensionless
parameters that measure the scaled stimulus/activity and the scaled chemotactic
response. Together these determine the efficacy of signal communication that
leads to a variety of migration and aggregation patterns consistent with
observations.
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