Dynamical model for the neural activity of singing <i>Serinus canaria</i>

Herbert, Cecilia T.; Boari, Santiago; Mindlin, Gabriel B.; Amador, Ana

doi:10.1063/1.5145093

Cited by 4 publications

(1 citation statement)

References 35 publications

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“…Recently, Alonso et al proposed a model for canary song production, which considers the global activity of the units in each neural nucleus [18][19][20]. Alonso et al and we all focus on the dynamic of the whole network, with differences laying in the model and research goals.…”

Section: Comparison With Other Modelsmentioning

confidence: 99%

Dynamical Bridge Between Song Degradation and Neural Plasticity

Zang¹,

Liu²

2021

Preprint

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High dimensionality and complexity are the main difficulties of the study over network dynamics. Recently, Wilten Nicola proposed the mean field theory to research the bifurcations that the full networks display. Here, we use his approach on the birdsong neural network. Our previous work has shown that AFP could adjust the synapse conductance of nucleus RA and change RA’s firing patterns, eventually leading to song degradation. To understand the dynamical principle behind this, we use a technique to reduce the RA network to a mean field model, in the form of a system of switching ordinary differential equations. Numerical results have shown that the mean field equations can qualitatively and quantitatively describe the behavior of nucleus RA. Based on the non-smooth bifurcation analysis of the mean field model, we determine that there is a subcritical-Andronov-Hopf bifurcation at a particular stimulation, which can explain the role of AFP during song degradation. The results indicate that we can see AFP’s adjustment in RA synapse conductance as the adjustment of initial value in the bistable system. More precisely, during song degradation, the mean field system would transform to a stable node (corresponding to distorted songs) rather than a stable limit cycle (corresponding to normal songs).

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Section: Comparison With Other Modelsmentioning

confidence: 99%

Dynamical Bridge Between Song Degradation and Neural Plasticity

Zang¹,

Liu²

2021

Preprint

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Dynamical principles underlying song degradation in birdsong neural circuit

Zang

Liu

2021

Nonlinear Dyn

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High dimensionality and complexity are the main di culties of the study over network dynamics.Recently, Wilten Nicola proposed the mean eld theory to research the bifurcations that the full networks display. Here, we use his approach on the birdsong neural network. Our previous work has shown that AFP could adjust the synapse conductance of nucleus RA and change RA's ring patterns, eventually leading to song degradation. To understand the dynamical principle behind this, we use a technique to reduce the RA network to a mean eld model, in the form of a system of switching ordinary differential equations. Numerical results have shown that the mean eld equations can qualitatively and quantitatively describe the behavior of nucleus RA. Based on the non-smooth bifurcation analysis of the mean eld model, we determine that there is a subcritical-Andronov-Hopf bifurcation at a particular stimulation, which can explain the role of AFP during song degradation. The results indicate that we can see AFP's adjustment in RA synapse conductance as the adjustment of initial value in the bistable system. More precisely, during song degradation, the mean eld system would transform to a stable node (corresponding to distorted songs) rather than a stable limit cycle (corresponding to normal songs).

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Introduction to Focus Issue: Instabilities and nonequilibrium structures

Clerc

Coullet

Rojas

et al. 2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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This Focus Issue on instabilities and nonequilibrium structures includes invited contributions from leading researchers across many different fields. The issue was inspired in part by the “VII Instabilities and Nonequilibrium Structures 2019” conference that took place at the Pontifica Universidad Católica de Valparaiso, Chile in December 2019. The conference, which is devoted to nonlinear science, is one of the oldest conferences in South America (since December 1985). This session has an exceptional character since it coincides with the 80th anniversary of Professor Enrique Tirapegui. We take this opportunity to highlight Tirapegui’s groundbreaking contributions in the field of random perturbations experienced by macroscopic systems and in the formation of spatiotemporal structures in such systems operating far from thermodynamic equilibrium. This issue addresses a cross-disciplinary area of research as can be witnessed by the diversity of systems considered from inert matter such as photonics, chemistry, and fluid dynamics, to biology.

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Dynamical model for the neural activity of singing Serinus canaria

Cited by 4 publications

References 35 publications

Dynamical Bridge Between Song Degradation and Neural Plasticity

Dynamical Bridge Between Song Degradation and Neural Plasticity

Dynamical principles underlying song degradation in birdsong neural circuit

Introduction to Focus Issue: Instabilities and nonequilibrium structures

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