Action Potential Propagation
Objective 6
Illustrate the propagation of the action potential.
Action potentials are carried only on nerve cell axons. This is because only nerve cell axons have the machinery (yellow shading) to propagate (pass and regenerate) an action potential.
To understand this process, we first need to know (just a little bit) about how current flows in a wire. A moving wave of electrons is created at one end of a copper wire, and that moving wave spreads at near-light speed through the wire, carrying current as it goes. (For this discussion, we’ll consider current — the number of electrons passing by a single point per second, like a river current — as interchangeable with voltage, the difference in the number of electrons in the river vs. on the riverbank.)
Current and voltage spread from a single point is shown by this graph. Note that the shape of the two curves is the same, but the purple curve, showing a large myelinated axon, loses its peak voltage much slower than the black curve, showing a small unmyelinated axon.
Start at the channel where positive ions flow in (“depolarization site”). Ion flow is an electrical current, and the electrical current (ion flow) is at a peak where the ions come in. This causes a peak change in membrane voltage, making it more positive.
Then, as we move further from the point where the ions enter, they spread out in both directions, getting diluted as they go, so the voltage change is smaller and smaller the further we get from the point where it entered.
The term of art we use to describe this slow, steady decline from a peak is decrement. Current, or voltage, injected at a single point along the neuronal membrane will decrement over distance as we travel further away from the point of injection.
Current, or voltage, injected at a single point along the neuronal membrane will decrement over time as we observe that single point over a period of several milliseconds.
You don’t need to know this unless you become a neuroscientist, but the distance it takes for voltage to drop to 1/2.71828 of its initial value is called the length constant (λ).The time it takes for voltage to drop to 1/2.71828 of its initial value is called the time constant (τ).Why such a weird number (1/2.71828)? Mathematicians have some numbers that have special properties, and the number 2.71828··· is one of those. It’s called e or Euler’s constant. Like pi (π) it shows up in a lot of weird places, and like π it goes on forever. For example, e shows up in the calculation of the equilibrium potential. Remember that the equilibrium potential was something we discussed earlier but we didn’t get into the detailed mathematics explaining it. There’s a good reason for that.The length constant and time constant are useful to understand the idea of graded potentials and summation which we will discuss in Objective 10.
This is the representation of the voltage-gated Na+ channel we saw earlier. Remember that the voltage-gated Na+ ch