Geometry-induced fluctuations of olfactory searches in bounded domains

TL;DR

This paper investigates how the geometry of bounded domains influences the fluctuations in olfactory search times, using a lattice-based model and infotaxis strategy, revealing domain-dependent search dynamics and significant variability near region interfaces.

Contribution

It introduces a study of geometry-induced fluctuations in olfactory searches using a lattice model and infotaxis, highlighting the impact of domain shape and topology on search efficiency.

Findings

Domain geometry affects initial search direction.

Large fluctuations occur when starting at region interfaces.

Search time variability depends on domain shape.

Abstract

In olfactory search an immobile target emits chemical molecules at constant rate. The molecules are transported by the medium which is assumed to be turbulent. Considering a searcher able to detect such chemical signals and whose motion follows the infotaxis strategy, we study the statistics of the first-passage time to the target when the searcher moves on a finite two-dimensional lattice of different geometries. Far from the target, where the concentration of chemicals is low the direction of the searcher's first movement is determined by the geometry of the domain and the topology of the lattice, inducing strong fluctuations on the average search time with respect to the initial position of the searcher. The domain is partitioned in well defined regions characterized by the direction of the first movement. If the search starts over the interface between two different regions, large fluctuations in the search time are observed.