Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement. (31st January 2017)

• Record Type: Journal Article
• Authors: Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Wang, Han
• Is Part Of: Bioinspiration & biomimetics. Volume 12:Number 2(2017:Jun.)
• Publication Date: 2017-01-31
• Subjects: active electrolocation -- weakly electric fish -- mathematics -- numerical simulations -- inverse problems -- polarization tensor; Biomimetics -- Periodicals; Biomedical materials -- Periodicals; Medical innovations -- Periodicals; Biomedical engineering -- Periodicals; 600
• DOI: 10.1088/1748-3190/aa5296
• Languages: English
• ISSNs: 1748-3182

Abstract

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.