The provided code models a specific type of ionic current in neurons: the non-inactivating steady-state potassium current (Kss
). This current plays a crucial role in determining the electrical properties of neurons, particularly how they respond to synaptic inputs and generate action potentials.
Ion Channel:
K+
) current, which is essential for maintaining the resting membrane potential and repolarizing the membrane after action potentials.Non-Inactivating Current:
Steady-State Properties:
ass
parameter represents the steady-state activation of the potassium channel. It is determined by the membrane voltage (v
) through a sigmoidal function, characteristic of voltage-dependent ion channels. This steady-state activation is a crucial aspect of the potassium channel's behavior, dictating how much current flows through the channel at a given membrane potential.Gating Variables:
aKss
is a gating variable representing the activation state of the channel. It dynamically changes over time according to voltage-dependent kinetics, modeled by the rate of change (aKss'
), which depends on the difference between current and steady-state activation, modulated by the time constant tau_Kss
.Rate Constants and Time Constants:
aKss'
) and the time constant tau_Kss
regulate how quickly the channel responds to changes in membrane potential. These parameters are derived from experimental data and are fitted to reproduce the time course of potassium currents observed in electrophysiological experiments.Reversal Potential (ek
):
ek
represents the potassium equilibrium or Nernst potential, which is vital for calculating the net driving force for potassium ions. This potential is a function of the intracellular (ki
) and extracellular (ko
) potassium concentrations and is critical for defining the direction and magnitude of the potassium current (ik
).Equation in the BREAKPOINT Block:
ik = ((( g * aKss ) * iKss ) * ( v - ek ))
describes how the conductance (g
), modified by the activation state (aKss
), interacts with the driving force (v - ek
) to yield the potassium current. The term iKss
is used as a constant in this context, maintaining the non-inactivating property.In summary, this NEURON model implements the biophysical characteristics of a specific type of potassium channel that influences neuronal excitability by allowing potassium ions to pass through the membrane, affected by the membrane potential. Understanding these channels is fundamental for explaining various neural functions and behaviors.