Single-compartment model of a pyramidal neuron, fitted to recordings with current and conductance injection

For single neuron models, reproducing characteristics of neuronal activity such as the firing rate, amplitude of spikes, and threshold potentials as functions of both synaptic current and conductance is a challenging task. In the present work, we measure these characteristics of regular spiking cort...

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Bibliographic Details
Published in:Biological cybernetics 2023-12, Vol.117 (6), p.433-451
Main Authors: Chizhov, Anton V., Amakhin, Dmitry V., Sagtekin, A. Erdem, Desroches, Mathieu
Format: Article
Language:English
Subjects:
Approximation
Bifurcations
Bioinformatics
Biomedical and Life Sciences
Biomedicine
Cognitive science
Complex Systems
Computer Appl. in Life Sciences
Conductance
Cybernetics
Depolarization
Dynamical Systems
Experiments
Firing pattern
Firing rate
Hyperpolarization
Inactivation
Mathematics
Neurobiology
Neurons
Neuroscience
Neurosciences
Original Article
Potassium channels
Simulation
Synaptic transmission
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Summary:For single neuron models, reproducing characteristics of neuronal activity such as the firing rate, amplitude of spikes, and threshold potentials as functions of both synaptic current and conductance is a challenging task. In the present work, we measure these characteristics of regular spiking cortical neurons using the dynamic patch-clamp technique, compare the data with predictions from the standard Hodgkin-Huxley and Izhikevich models, and propose a relatively simple five-dimensional dynamical system model, based on threshold criteria. The model contains a single sodium channel with slow inactivation, fast activation and moderate deactivation, as well as, two fast repolarizing and slow shunting potassium channels. The model quantitatively reproduces characteristics of steady-state activity that are typical for a cortical pyramidal neuron, namely firing rate not exceeding 30 Hz; critical values of the stimulating current and conductance which induce the depolarization block not exceeding 80 mV and 3, respectively (both values are scaled by the resting input conductance); extremum of hyperpolarization close to the midpoint between spikes. The analysis of the model reveals that the spiking regime appears through a saddle-node-on-invariant-circle bifurcation, and the depolarization block is reached through a saddle-node bifurcation of cycles. The model can be used for realistic network simulations, and it can also be implemented within the so-called mean-field, refractory density framework.
ISSN:1432-0770
0340-1200
1432-0770
DOI:10.1007/s00422-023-00976-7