Problem 16
Question
Suppose researchers find that axon A can produce up to 1,000 action potentials per second (at least briefly, with maximum stimulation), but axon \(\mathrm{B}\) can never produce more than 100 per second (regardless of the strength of the stimulus). What could we conclude about the refractory periods of the two axons?
Step-by-Step Solution
Verified Answer
Axon A has a shorter refractory period (1 ms) than axon B (10 ms).
1Step 1: Understanding Refractory Periods
The refractory period of a neuron is the time after an action potential during which the neuron cannot generate another action potential. There are two types of refractory periods: absolute and relative. Absolute refractory period is when no new action potential can be generated, while the relative refractory period allows a new action potential under stronger stimuli.
2Step 2: Calculate Refractory Period for Axon A
Axon A can generate up to 1,000 action potentials per second. To find the refractory period, we take the reciprocal of the maximum frequency of action potentials. Therefore, the refractory period for axon A is \(\frac{1}{1000} = 0.001\) seconds, or 1 millisecond.
3Step 3: Calculate Refractory Period for Axon B
Axon B can generate up to 100 action potentials per second. Similarly, the refractory period for axon B is \(\frac{1}{100} = 0.01\) seconds, or 10 milliseconds.
4Step 4: Comparing Refractory Periods
Axon A has a shorter refractory period of 1 millisecond compared to axon B's longer refractory period of 10 milliseconds. This means axon A can recover and produce new action potentials much faster than axon B.
Key Concepts
Action PotentialsAxon PhysiologyNeuronal Firing Rate
Action Potentials
Action potentials are electrical impulses that travel down the neuron and are essential for neural communication. They occur when a neuron sends information down an axon, away from the cell body. This process starts when the neuron's membrane potential becomes depolarized. When a certain threshold is reached, sodium channels open, allowing positive sodium ions to rush into the cell. This depolarization causes more sodium channels to open, rapidly increasing the membrane potential.
Eventually, potassium channels open, allowing potassium ions to leave the cell, bringing the membrane potential back down. Finally, the sodium and potassium pumps restore the original ion concentration, re-establishing the resting membrane potential.
Eventually, potassium channels open, allowing potassium ions to leave the cell, bringing the membrane potential back down. Finally, the sodium and potassium pumps restore the original ion concentration, re-establishing the resting membrane potential.
- Action potentials are all-or-nothing events, meaning they occur fully or not at all.
- They propagate down the axon at a constant strength and speed.
- The frequency and pattern of action potentials encode information that is sent to other neurons or muscles.
Axon Physiology
The axon is a long, slender projection of a neuron that conducts electrical impulses away from the neuron's cell body. The physiology of an axon is vital in determining how fast and efficiently these impulses travel. Myelin sheaths, which are insulating layers around some axons, play a significant role in this efficiency. They allow electrical impulses to hop from node to node, a process known as saltatory conduction, greatly increasing the speed of transmission.
- Axons vary in diameter; larger-diameter axons typically conduct action potentials faster.
- The presence of myelin can increase conduction speed and protect the axon.
- Nodes of Ranvier are gaps in the myelin sheath where action potentials regenerate to maintain signal strength.
Neuronal Firing Rate
Neuronal firing rate refers to the frequency at which action potentials are generated in a neuron. This rate is limited by the refractory periods of the neuron's axon. The understanding of firing rates is essential in determining how neurons communicate with each other and react to stimuli.
- The absolute refractory period sets the maximum firing rate, as no new action potential can occur during this time.
- The relative refractory period allows some neuronal flexibility, as action potentials can occur with stronger stimuli.
- Rates can vary significantly among neurons, affecting how they process and transmit information.
Other exercises in this chapter
Problem 14
State the all-or-none law.
View solution Problem 15
Does the all-or.none law apply to dendrites? Why or why not?
View solution Problem 17
In a myelinated axon, how would the action potential be affected if the nodes were much closer together? How might it be affected if the nodes were much farther
View solution Problem 13
As the membrane reaches the peak of the action potential, what brings the membrane down to the original resting potential?
View solution