A Frequency Domain Analysis of the Excitability and Bifurcations of the FitzHugh–Nagumo Neuron Model
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Título
A Frequency Domain Analysis of the Excitability and Bifurcations of the FitzHugh–Nagumo Neuron ModelAutoría
Fecha de publicación
2021-11-18Editor
American Chemical SocietyISSN
1948-7185Cita bibliográfica
BISQUERT, Juan. A Frequency Domain Analysis of the Excitability and Bifurcations of the FitzHugh–Nagumo Neuron Model. The Journal of Physical Chemistry Letters, 2021, vol. 12, no 45, p. 11005-11013.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The dynamics of neurons consist of oscillating patterns of a membrane potential
that underpin the operation of biological intelligence. The FitzHugh−Nagumo (FHN) model
for neuron excitability generates rich dynamical ... [+]
The dynamics of neurons consist of oscillating patterns of a membrane potential
that underpin the operation of biological intelligence. The FitzHugh−Nagumo (FHN) model
for neuron excitability generates rich dynamical regimes with a simpler mathematical structure
than the Hodgkin−Huxley model. Because neurons can be understood in terms of electrical
and electrochemical methods, here we apply the analysis of the impedance response to obtain
the characteristic spectra and their evolution as a function of applied voltage. We convert the
two nonlinear differential equations of FHN into an equivalent circuit model, classify the
different impedance spectra, and calculate the corresponding trajectories in the phase plane of
the variables. In analogy to the field of electrochemical oscillators, impedance spectroscopy
detects the Hopf bifurcations and the spiking regimes. We show that a neuron element needs
three essential internal components: capacitor, inductor, and negative differential resistance.
The method supports the fabrication of memristor-based artificial neural networks. [-]
Publicado en
J. Phys. Chem. Lett. 2021, 12, 11005−11013Datos relacionados
https://pubs.acs.org/doi/10.1021/acs.jpclett.1c03406Entidad financiadora
Ministerio de Ciencia, Innovación y Universidades (Spain)
Código del proyecto o subvención
PID2019-107348GB-100
Derechos de acceso
© 2021 American Chemical Society
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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