A Finite Element Method of Electric Image in Weakly Electric Fish

Ahn, Sejoon; Kim, Dae Eun

doi:10.1007/978-3-642-33093-3_13

Cited by 2 publications

(2 citation statements)

References 7 publications

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“…Analytic methods, while demonstrating high computational efficiency are limited to systems where all equations have a known solution (which are available only for simple, isotropic shapes) 20 37 38 . Numerical methods can explore biologically relevant models involving more complex geometries 11 18 21 39 . Two dimensional (2D) models are often preferred as the number of equations is significantly reduced compared to 3D, placing much less demand on computer processing power and memory requirements.…”

Section: Discussionmentioning

confidence: 99%

“…The boundary element method (BEM) 11 provides an efficient approach to the 3D problem by solving equations only along boundaries of interest. An alternative to BEM models is an implementation of coupled resistors 39 , where each element in space is coupled orthogonally to surrounding elements and the resulting circuit problem can be solved efficiently by the application of Kirchhoff’s laws. Finite-element models (FEM) consider the realistic geometry and electrical properties of heterogeneous region of interest but can be computationally intensive.…”

Section: Discussionmentioning

confidence: 99%

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Ultrafast traveling wave dominates the electric organ discharge of Apteronotus leptorhynchus: an inverse modelling study

Shifman

Longtin

Lewis

2015

Sci Rep

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Identifying and understanding the current sources that give rise to bioelectric fields is a fundamental problem in the biological sciences. It is very difficult, for example, to attribute the time-varying features of an electroencephalogram recorded from the head surface to the neural activity of specific brain areas; model systems can provide important insight into such problems. Some species of fish actively generate an oscillating (c. 1000 Hz) quasi-dipole electric field to communicate and sense their environment in the dark. A specialized electric organ comprises neuron-like cells whose collective signal underlies this electric field. As a step towards understanding the detailed biophysics of signal generation in these fish, we use an anatomically-detailed finite-element modelling approach to reverse-engineer the electric organ signal over one oscillation cycle. We find that the spatiotemporal profile of current along the electric organ constitutes a travelling wave that is well-described by two spatial Fourier components varying in time. The conduction velocity of this wave is faster than action potential conduction in any known neuronal axon (>200 m/s), suggesting that the spatiotemporal features of high-frequency electric organ discharges are not constrained by the conduction velocities of spinal neuron pathways.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Ultrafast traveling wave dominates the electric organ discharge of Apteronotus leptorhynchus: an inverse modelling study

Shifman

Longtin

Lewis

2015

Sci Rep

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An end-to-end model of active electrosensation

Turcu,

Zadina,

Abbott

et al. 2024

Preprint

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Weakly electric fish localize and identify objects by sensing distortions in a self-generated electric field. Fish can determine the resistance and capacitance of an object, for example, even though the field distortions being sensed are small and highly-dependent on object distance and size. Here we construct a model of the responses of the fish's electroreceptors on the basis of experimental data, and we develop a model of the electric fields generated by the fish and the distortions due to objects of different resistances and capacitances. This provides us with an accurate and efficient method for generating large artificial data sets simulating fish interacting with a wide variety of objects. Using these sets, we train an artificial neural network (ANN), representing brain areas downstream of electroreceptors, to extract the 3D location, size, and electrical properties of objects. The model performs best if the ANN operates in two stages: first estimating object distance and size and then using this information to extract electrical properties. This suggests a specific form of modularity in the electrosensory system that can be tested experimentally and highlights the potential of end-to-end modeling for studies of sensory processing.

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A Finite Element Method of Electric Image in Weakly Electric Fish

Cited by 2 publications

References 7 publications

Ultrafast traveling wave dominates the electric organ discharge of Apteronotus leptorhynchus: an inverse modelling study

Ultrafast traveling wave dominates the electric organ discharge of Apteronotus leptorhynchus: an inverse modelling study

An end-to-end model of active electrosensation

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