Neuron Dynamics#

Neuronal dynamics refers to the diverse temporal activity patterns exhibited by neurons related to how they process and transmit information. Key aspects include:

  • Action potential generation - the dynamics of neurons rapidly depolarizing and firing action potentials, often in spatially propagating waves along axons. This forms the basis of neural signaling.

  • Refractoriness - the brief period after an action potential when a neuron is less excitable and cannot fire again. This leads to limits on maximal firing rates.

  • Spiking patterns - neurons can exhibit various firing patterns like tonic regular spiking, bursting, adaptation, etc. This depends on their intrinsic properties.

  • Subthreshold activity - fluctuations, oscillations and waves of membrane potential below threshold for spiking, reflecting integrative processes in dendrites.

  • Resonance - some neurons exhibit resonance at certain preferred input frequencies, selectively amplifying inputs at that band.

  • Spike frequency adaptation - the rate of neuronal firing adapts or decreases in response to sustained input due to intrinsic currents.

  • Bistability - some neurons can switch between two stable resting potentials, acting like a toggle switch.

  • Excitability - changes in neuron excitability mediated by neuromodulators, activity history, etc. This alters how inputs are translated into outputs.

  • Stochasticity - randomness in ion channel openings/closings and synaptic transmission causes neuronal activity to exhibit inherent variability.

  • Homeostatic regulation - maintaining firing rates within a stable range by globally adapting ion channel properties and excitability.

So in summary, neuronal dynamics describe the rich temporal patterns of electrical signaling exhibited by neurons, which ultimately underlies how information is encoded and processed in the brain.

Reduced Neuron Models#

Lif

Leaky integrate-and-fire neuron model.

LifLTC

Leaky integrate-and-fire neuron model with liquid time-constant.

LifRefLTC

Leaky integrate-and-fire neuron model with liquid time-constant which has refractory periods .

LifRef

Leaky integrate-and-fire neuron model with liquid time-constant which has refractory periods .

ExpIF

Exponential integrate-and-fire neuron model.

ExpIFLTC

Exponential integrate-and-fire neuron model with liquid time-constant.

ExpIFRefLTC

Exponential integrate-and-fire neuron model with liquid time-constant.

ExpIFRef

Exponential integrate-and-fire neuron model .

AdExIF

Adaptive exponential integrate-and-fire neuron model.

AdExIFLTC

Adaptive exponential integrate-and-fire neuron model with liquid time-constant.

AdExIFRefLTC

Adaptive exponential integrate-and-fire neuron model with liquid time-constant.

AdExIFRef

Adaptive exponential integrate-and-fire neuron model.

QuaIF

Quadratic Integrate-and-Fire neuron model.

QuaIFLTC

Quadratic Integrate-and-Fire neuron model with liquid time-constant.

QuaIFRefLTC

Quadratic Integrate-and-Fire neuron model with liquid time-constant.

QuaIFRef

Quadratic Integrate-and-Fire neuron model.

AdQuaIF

Adaptive quadratic integrate-and-fire neuron model.

AdQuaIFLTC

Adaptive quadratic integrate-and-fire neuron model with liquid time-constant.

AdQuaIFRefLTC

Adaptive quadratic integrate-and-fire neuron model with liquid time-constant.

AdQuaIFRef

Adaptive quadratic integrate-and-fire neuron model.

Gif

Generalized Integrate-and-Fire model.

GifLTC

Generalized Integrate-and-Fire model with liquid time-constant.

GifRefLTC

Generalized Integrate-and-Fire model with liquid time-constant.

GifRef

Generalized Integrate-and-Fire model.

Izhikevich

The Izhikevich neuron model.

IzhikevichLTC

The Izhikevich neuron model with liquid time-constant.

IzhikevichRefLTC

The Izhikevich neuron model with liquid time-constant.

IzhikevichRef

The Izhikevich neuron model.

HHTypedNeuron

CondNeuGroupLTC

Base class to model conductance-based neuron group.

CondNeuGroup

HH

Hodgkin–Huxley neuron model.

HHLTC

Hodgkin–Huxley neuron model with liquid time constant.

MorrisLecar

The Morris-Lecar neuron model.

MorrisLecarLTC

The Morris-Lecar neuron model with liquid time constant.

WangBuzsakiHH

Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model.

WangBuzsakiHHLTC

Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model with liquid time constant.

Hodgkin–Huxley Neuron Models#

HHTypedNeuron

CondNeuGroupLTC

Base class to model conductance-based neuron group.

CondNeuGroup

HH

Hodgkin–Huxley neuron model.

HHLTC

Hodgkin–Huxley neuron model with liquid time constant.

MorrisLecar

The Morris-Lecar neuron model.

MorrisLecarLTC

The Morris-Lecar neuron model with liquid time constant.

WangBuzsakiHH

Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model.

WangBuzsakiHHLTC

Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model with liquid time constant.