Glossary

Units of measure

C_m

Capacitance of the membrane in picofarads (pF).

capacitance

Picofarads (pF).

conductance

Nanosiemens (nS).

current

Picoamperes (pA).

E_ex

Excitatory reversal potential in Millivolts (mV).

E_in

Inhibitory reversal potential in Millivolts (mV).

E_K

Potassium reversal potential in millivolts (mV).

E_L

Resting membrane potential in Millivolts (mV).

E_Na

Sodium reversal potential in Millivolts (mV).

frequency

Frequency in Hertz (Hz). Note that spike rates are often better expressed in terms of spikes per second (spks/s or s^-1).

g_K

Potassium peak conductance in nanosiemens (nS).

g_L

Leak conductance in nanosiemens (nS).

g_Na

Sodium peak conductance in nanosiemens (nS).

I_e

Constant input current in picoamperes (pA).

spike rates

The number of spikes that occurred in a certain time interval, usually expressed in terms of spikes per second (spks/s or s^-1).

t_ref

Duration of refractory period in milliseconds (ms).

t_spike

Point in time of last spike in milliseconds (ms).

tau_m

Membrane time constant in milliseconds (ms).

time

Time in milliseconds (ms).

V_m

Membrane potential in Millivolts (mV).

V_min

Absolute lower value for the membrane potential in Millivolts (mV).

V_reset

Reset potential of the membrane in Millivolts (mV).

V_th

Spike threshold in Millivolts (mV).

voltage

Millivolts (mV).

Terms for models in NEST

aeif

Adaptive exponential integrate-and-fire. Also known in other sources as AdEx.

cm

Compartmental model.

cond

Conductance-based. Also known in other sources as COBA.

ex

Excitatory.

gif

Generalized integrate-and-fire. From the Gerstner lab.

glif

Generalized leaky integrate-and-fire. From the Allen institute.

hh

Hodgkin Huxley.

ht

Hill and Tononi.

iaf

Integrate-and-fire. Also known in other sources as IF.

in

Inhibitory.

pp

Point process.

psc

Post-synaptic current (current-based). Also known in other sources as CUBA.

psp

Post-synaptic potential.

sfa

Spike-frequency adaptation.

st

Short-term plasticity.

stdp

Spike-timing dependent plasticity.

Model selector keywords

The model selector uses keywords (tags) to categorise models.

Synapse keywords

chemical

Unidirectional spike transmission from presynaptic to postsynaptic neuron.

electrical

Bidirectional voltage-based transmission.

abstract

Non-biological models, often used for rate-based simulations.

rate

Rate-coded transmission (continuous signals).

learning

Learning signal connections for e-prop.

functional

Synapses with dynamic functional properties.

static

Static synapses with no plasticity.

stochastic

Stochastic spike transmission where neurotransmitter release is probabilistic.

stp

Short-term plasticity.

stdp

Spike-timing dependent plasticity.

3-factor

3-factor plasticity rules (e.g., Clopath, Urbanczik, Vogels-Sprekeler).

astrocyte

Astrocyte coupling mode.

Neuron keywords

neuron

A model of a biological neuron. NEST implements point neurons, multi-compartment neurons, rate neurons, and binary neurons.

integrate-and-fire

Neuron model that integrates synaptic input until the membrane potential reaches a threshold, at which point a spike is fired and the potential is reset.

current-based

Models post-synaptic responses as changes in current. The response is independent of the neuronal state.

conductance-based

Models post-synaptic responses as changes in conductance. The response depends on the membrane potential, capturing more realistic synaptic behavior.

hard threshold

Neuron fires deterministically when the membrane potential reaches a fixed threshold. Does not model the intrinsic dynamics of spike generation.

soft threshold

Neuron models the voltage-dependent conductances underlying spike generation, producing dynamics that mimic the action potential waveform.

adaptation

Neuron has a mechanism that reduces excitability after spiking, such as an adaptive threshold or spike-triggered hyperpolarizing current.

adaptive threshold

A spike threshold that increases temporarily after each spike and decays back to baseline, modelling spike-frequency adaptation.

compartmental model

Neuron subdivided into multiple compartments representing different morphological parts (soma, dendrites), with inputs received and coupled across compartments.

binary

Neuron with two or three discrete states (On/Off). The simplest threshold activation models, used in theoretical neuroscience and disease modelling.

precise

Neuron model that calculates exact spike times rather than grid-constrained spike times, at higher computational cost.

parrot

Auxiliary neuron that repeats all incoming spikes. Used for testing, benchmarking, or creating shared spike input patterns.

stochastic

Neuron that does not fire deterministically; spike times are drawn from a point process with a firing rate determined by the membrane potential.

point process

Stochastic neuron model where spike times are described by a point process with a time-dependent firing rate.

Hodgkin-Huxley

A conductance-based neuron model based on Hodgkin and Huxley (1952), A quantitative description of membrane current and its application to conduction and excitation in nerve, The Journal of Physiology 117. See also Hodgkin-Huxley.

Clopath plasticity

A voltage-based STDP plasticity rule based on Clopath et al. (2010), Connectivity reflects coding: a model of voltage-based STDP with homeostasis, Nature Neuroscience 13:3.

Hill-Tononi plasticity

A thalamocortical neuron model based on Hill and Tononi (2005), Modeling sleep and wakefulness in the thalamocortical system, Journal of Neurophysiology 93:1671–1698.

e-prop plasticity

A learning rule for recurrent spiking networks based on Bellec et al. (2020), A solution to the learning dilemma for recurrent networks of spiking neurons, Nature Communications 11:3625.

Other abbreviations

MAM

Multi-area model.

mpi

Message passing interface.

rng

Random number generator.

vp

Virtual process.

wfr

Waveform relaxation method.

Commonly used terms in NEST

absolute refractory period

Interval directly following a spike emission in which the sender neuron cannot fire again.

alpha function

Instance of a synaptic response.

autapse

A neuron connected to itself.

axon

The output structure of a neuron.

Clopath

Refering to the Clopath plasticity rule.

coefficient of variation

Standard deviation divided by the mean.

dendritic arbor

Dendritic trees formed to create new synapses.

depressing window

A function that determines how synaptic modification depends on spike-timing (STDP).

depression

Mechanism of making a synapse weaker by decreasing the weight.

Opposite to facilitation.

distal dendrite

The part of the dentrite that is furthest away from the soma.

eligibility trace

A property of a synapse, which allows it to be modified for a period of time when some constraints are satisfied.

events

Spikes are encoded as events in NEST.

facilitation

Mechanism of making a synapse stronger by increasing the weight.

Opposite to depression.

Gaussian white noise

A random process with a mean of zero.

Hodgkin-Huxley

A mathematical model that describes how action potentials in neurons can be generated and how they propagate.

indegree

Amount of connections to post-synaptic cells.

multapse

A neuron that has (multiple) synapses with another neuron.

multimeter

A device to record analog quantities (e.g., membrane voltage) of a neuron over time.

non-renewal process

Point process with adapting threshold eta(t).

outdegree

Amount of connections from pre-synaptic cells.

plasticity

The ability of a network to grow or reorganize.

point neuron

A simple neuron model where its soma along with the membrane potential dynamics are modeled as a resistance–capacitance circuit.

Point process

A temporal point process is a mathematical model for a time series of discrete events.

propagator

Matrix used in a numerically integrated dynamical system.

See exact integration page for further information.

proximal dendrite

The part of the dentrite which is closest to the soma.

refractoriness

The time before a new action potential can take place.

refractory period

A time period in which neurons cannot fire. This is due to depolarization.

refractory time

A time period in which neurons cannot fire due to depolarization.

renewal process

Spike-time statistical analysis.

reversal potential

The membrane potential at which a neuron causes no net current flow.

rheobase

The minimal current that is required to generate a spike.

shotnoise

Fluctuations in ion channels as a result of ionic migration through an open channel.

soma

Cell body of the neuron.

spike train

A sequence of actions potentials. Usually seen as events in integrate-and-fire models.

spike-frequency adaptation

After stimulation, neurons show a reduction in the firing frequency of their spike response following an initial increase.

spike-timing dependent plasticity

STDP, a form of plasticity which adjusts the connection strength between neurons based on the relative timing of a neurons output and input spikes.

static_synapse

Synapse with a fixed weight.

stdp_synapse

Synapse with spike-timing dependent plasticity.

subthreshold dynamics

Non-spiking backgound activity of the synapses.

synaptic efficacy

The extent to which a pre-synaptic neuron affects a post-synaptic neuron.

synaptic response kernel

Shape of post-synaptic response, commonly an alpha, delta-pulse, or exponential function.

time constant

The time it takes for a signal to rise or decay in milliseconds (ms).

See membrane time constant (tau_m) and synaptic time constant (tau_syn) in the model documentation.