title: Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement.
abstract: Understanding active electrolocation in weakly electric fish remains a challenging issue. In this article we propose a mathematical formulation of this problem, in terms of partial differential equations. This allows us to detail two algorithms: one for localizing a target using the multi-frequency aspect of the signal, and another one for identifying the shape of this target. Shape recognition is designed in a machine learning point of view, and takes advantage of both the multi-frequency setup and the movement of the fish around its prey. Numerical simulations are shown for the computation of the electric field emitted and sensed by the fish; they are then used as an input for the two algorithms.
authors.affiliation: Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich.
authors.forename: Habib
authors.initials: H
authors.lastname: Ammari
authors.forename: Thomas
authors.initials: T
authors.lastname: Boulier
authors.forename: Josselin
authors.initials: J
authors.lastname: Garnier
authors.forename: Han
authors.initials: H
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D000818:Animals; D032701:Biomimetics; D015374:Biosensing Techniques; D004555:Electric Fish / Q000502:physiology*; D004557:Electric Organ / Q000502:physiology*; D008954:Models, Biological; D009068:Movement / Q000502:physiology*