• Corpus ID: 16718463

Modulation and Robustness of Endogenous Neuronal Spiking

  title={Modulation and Robustness of Endogenous Neuronal Spiking},
  author={Guillaume Drion and Alessio Franci and Vincent Seutin and Rodolphe Sepulchre},
  journal={arXiv: Neurons and Cognition},
Neuronal spiking exhibits an exquisite combination of modulation and robustness properties, rarely matched in artificial systems. We exploit the particular interconnection structure of conductance based models to investigate this remarkable property. We find that much of neuronal modulation and robustness can be explained by separating the total transmembrane current into three different components corresponding to the three time scales of neuronal bursting. Each equivalent current aggregates… 

Master thesis : Sensitivity and robustness analysis of thalamic neuron models at the cellular and network levels

This thesis investigates simple, qualitative modeling of neuron and network activity and shows that previously available simple models of thalamic neurons such as the well-known Izhikevich models lack the slow dynamics, hence they generate pathological behaviors while connected within a circuit.



Global Structure, Robustness, and Modulation of Neuronal Models

A global analysis of the structure of a conductance-based model neuron finds correlates of this dual robustness and sensitivity in this model, which implies that neuromodulators that alter a sensitive set of conductances will have powerful, and possibly state-dependent, effects.

Variability, compensation, and modulation in neurons and circuits

  • E. Marder
  • Biology, Psychology
    Proceedings of the National Academy of Sciences
  • 2011
It is shown that multiple solutions (sets of parameters) can produce similar circuit performance and a paradigm shift in which it is becoming increasingly common to develop families of models that reflect the variance in the biological data is described.

Ionic Current Correlations Underlie the Global Tuning of Large Numbers of Neuronal Activity Attributes

It is concluded that covariation (and probably a tightly controlled coregulation) of ionic conductances can help neurons maintain certain attributes of neuronal activity invariant while at the same time allowing conductances to change over wide ranges in response to internal or environmental inputs and perturbations.

Modeling neuronal bursting: singularity theory meets neurophysiology

The proposed approach combines singularity theory and geometric singular perturbations to unfold the geometry of multiple time-scales attractors in the neighborhood of high-codimension singularities to suggest generality and simplicity in the organizing role of the winged cusp singularity for the global dynamics of conductance based models.

A Balance Equation Determines a Switch in Neuronal Excitability

Analysis of six different published conductance based models always finds the transcritical bifurcation and the associated switch in excitability, which suggests that the mathematical predictions have a physiological relevance and that a same regulatory mechanism is potentially involved in the excitability and signaling of many neurons.

A Novel Phase Portrait for Neuronal Excitability

The revisited model considerably enlarges the modeling power of the original one and captures essential electrophysiological signatures that otherwise require non-physiological alteration or considerable complexification of the classical model.

How Multiple Conductances Determine Electrophysiological Properties in a Multicompartment Model

C cubic fits of the function from maximal conductances to a series of electrophysiological properties to ask which conductances predominantly influence input conductance, resting membrane potential, resting spike rate, phasing of activity in response to rhythmic inhibition, and several other properties can be used to understand how multiple currents in any candidate neuron interact to determine the cell's electrophYSiological behavior.

Adaptive regulation of neuronal excitability by a voltage- independent potassium conductance

The results highlight the importance of tonic inhibition mediated by GABAA receptors, loss of which triggers a form of homeostatic plasticity leading to a change in the magnitude of a voltage-independent K + conductance that maintains normal neuronal behaviour.

Dissection of a model for neuronal parabolic bursting

This work studies Plant's model for Aplysia R-15 to illustrate the view of these so-called “parabolic” bursters, and shows how bursting arises from an alternative mechanism in which calcium inactivates the calcium current and the potassium conductance is insensitive to calcium.

Subthalamic Nucleus Neurons Switch from Single-Spike Activity to Burst-Firing Mode

It is proposed that recurrent membrane oscillations during bursts result from the sequential activation of T/R- and L-type Ca2+ currents, a Ca2-activated inward current, andCa2+-activated K+ currents.