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#
Leaky integrate-and-fire neuron model. |
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Leaky integrate-and-fire neuron model with liquid time-constant. |
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Leaky integrate-and-fire neuron model with liquid time-constant which has refractory periods . |
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Leaky integrate-and-fire neuron model with liquid time-constant which has refractory periods . |
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Exponential integrate-and-fire neuron model. |
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Exponential integrate-and-fire neuron model with liquid time-constant. |
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Exponential integrate-and-fire neuron model with liquid time-constant. |
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Exponential integrate-and-fire neuron model . |
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Adaptive exponential integrate-and-fire neuron model. |
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Adaptive exponential integrate-and-fire neuron model with liquid time-constant. |
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Adaptive exponential integrate-and-fire neuron model with liquid time-constant. |
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Adaptive exponential integrate-and-fire neuron model. |
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Quadratic Integrate-and-Fire neuron model. |
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Quadratic Integrate-and-Fire neuron model with liquid time-constant. |
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Quadratic Integrate-and-Fire neuron model with liquid time-constant. |
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Quadratic Integrate-and-Fire neuron model. |
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Adaptive quadratic integrate-and-fire neuron model. |
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Adaptive quadratic integrate-and-fire neuron model with liquid time-constant. |
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Adaptive quadratic integrate-and-fire neuron model with liquid time-constant. |
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Adaptive quadratic integrate-and-fire neuron model. |
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Generalized Integrate-and-Fire model. |
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Generalized Integrate-and-Fire model with liquid time-constant. |
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Generalized Integrate-and-Fire model with liquid time-constant. |
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Generalized Integrate-and-Fire model. |
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The Izhikevich neuron model. |
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The Izhikevich neuron model with liquid time-constant. |
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The Izhikevich neuron model with liquid time-constant. |
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The Izhikevich neuron model. |
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Base class to model conductance-based neuron group. |
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Hodgkin–Huxley neuron model. |
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Hodgkin–Huxley neuron model with liquid time constant. |
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The Morris-Lecar neuron model. |
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The Morris-Lecar neuron model with liquid time constant. |
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Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model. |
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Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model with liquid time constant. |
Hodgkin–Huxley Neuron Models#
Base class to model conductance-based neuron group. |
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Hodgkin–Huxley neuron model. |
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Hodgkin–Huxley neuron model with liquid time constant. |
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The Morris-Lecar neuron model. |
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The Morris-Lecar neuron model with liquid time constant. |
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Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model. |
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Wang-Buzsaki model [9]_, an implementation of a modified Hodgkin-Huxley model with liquid time constant. |