Electrical events

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7 Electrical events

Structure of the Plasma Membrane

In common with cells elsewhere, the plasma membrane of neurons is a double layer (bilayer) of phospholipids made up of phosphate heads facing the aqueous media of the extracellular and intracellular spaces, and paired lipid tails forming a fatty membrane in between (Figure 7.1). The phosphate layer is water-soluble (hydrophilic, or polar) and the double lipid layer is water-insoluble (hydrophobic, or non-polar).

Both the extracellular and the intracellular fluids are aqueous salt solutions in which many soluble molecules dissociate into positively or negatively charged atoms or groups of atoms called ions. Ions and molecules in aqueous solutions are in a constant state of agitation, being subject to diffusion, whereby they tend to move from areas of higher concentration to areas of lower concentration. In addition to passing down their concentration gradients by diffusion, ions are influenced by electrical gradients. Positively charged ions including Na+ and K+ are called cations because, in an electrical field, they migrate to the cathode. Negatively charged ions including Cl are called anions because these migrate to the anode. Like charges (e.g. Na+ and K+) repel one another, unlike charges (e.g. Na+ and Cl) attract one another.

The cell membrane can be regarded as an electric capacitor, because it comprises outer and inner layers carrying ionic charges of opposite kind, with a (fatty) insulator in between. Away from the membrane, the voltage in the tissue fluid is brought to zero (0 mV) by the neutralizing effect of chloride anions on sodium and other cations, and the voltage in the cytosol away from the membrane is brought to zero by the neutralizing effect of anionic proteins on K+ cations.

Ion channels

Ion channels are membrane-spanning proteins having a central pore that permits passage of ions across the cell membrane. Most channels are selective for a particular ion, for example Na+, or K+ or Cl

Several channel categories are recognized, of which the first three are of immediate relevance.

Figure 7.2 depicts the three passive channels concerned with generating the resting potential.

The existence of distinct channels for Na+, K+ and Cl ions would result in zero voltage difference across the membrane if passive diffusion of the three ions were equally free. However, the number of sodium channels is relatively small, and movement of the Na+ ion is relatively slow because of its relatively large ‘hydration shell’ of H2O molecules. In effect, the membrane is many times more permeable to K+ and Cl than to Na+.

The resting membrane potential

The membrane potential of the resting (inactive) neuron is generated primarily by differences in concentration of the sodium (Na+) and potassium (K+) ions dissolved in the aqueous environments of extracellular fluid (ECF) and cytosol. In Table 7.1, it can be seen that potassium is 20 times more concentrated in the cytosol; sodium is 10 and chloride 3.8 times more concentrated in the ECF.

In Figure 7.3, a voltmeter is connected to electrodes inserted into the ECF surrounding an axon. One of the electrodes has been inserted into a glass pipette having a minute tip. On the left side of the figure, both electrode tips are in the ECF, and there is no voltage difference; a zero value is recorded. On the right side, the pipette has been lowered, puncturing the plasma membrane of the axon and admitting the intracellular fluid of the cytosol. The electrical charge now reveals a potential (voltage) difference of −70 mV. In practice, the membrane potential ranges from −60 mV to −80 mV in different neurons. These values represent the resting membrane potential, i.e. when impulses are not being conducted.

Resting membrane permeability

Potassium ions

From what has been mentioned, it is clear that K+ concentrations on either side of the cell membrane would be the same were there no constraint. In fact, there are two electrical constraints at the level of the ion pore, namely the attraction exerted by the protein anions on the inside, and the repulsion exerted by the Na+ cations on the outside. The equilibrium state exists when the concentration gradient is exactly balanced by the voltage gradient; the potential difference at this point is expressed as EK, the potassium equilibrium potential. This can be expressed by means of the Nernst equation, which uses principles of thermodynamics to convert the concentration gradient of an ion to an equivalent voltage gradient.

EQUATION 1 image

Converting the natural log to log10 and resolving the numeric fractions yields

image

Repeating the exercise for sodium and chloride yields

image

The value of the resting potential can be calculated using the Goldman equation, from the relative distributions of the three principal ions involved (Table 7.1), and their membrane permeabilities.

EQUATION 2 image

The Goldman equation is nothing more than the Nernst equation for each of the three ions, with each concentration multiplied by the conductance (permeability) of that ion. The effect of the chloride ion on resting potential is insignificant, because its equilibrium potential is the same as the resting potential. The sum of the fractions for K+ and Na+ yields an outcome of −70 mV, as required by the known value.

Sodium pump

The resting potential needs to be stabilized, because of the tendency of Na+ ions to leak inward and K+ to leak outward along their concentration gradients. Stability is assured by the Na+–K+ pump making appropriate corrections for their passive flows. This channel is capable of simultaneously extruding N+ and importing K+. Three sodium ions are exported for every two potassium ions imported (Figure 7.4). In both cases, the movement is against the existing concentration gradient. The required energy for this activity is provided by the ATPase enzyme that converts ATP to ADP. The greater the amount of Na+ in the cytosol, the greater is the activity of the enzyme.

As mentioned in Chapter 6, the axonal degeneration occurring in multiple sclerosis is attributable to failure of the sodium pump along the denuded axolemma. This leads to Na+ overload, which in turn promotes excess Ca2+ release from intracellular stores.

Response to Stimulation: Action Potentials

Neurons typically interact at chemical synapses, where liberation of a transmitter substance is produced by the arrival of action potentials, or spikes, at the synaptic boutons. The transmitter crosses the synaptic cleft and activates receptors embedded in the membranes of target neurons. The receptors activate transmitter-gated ion channels to alter the level of polarization of the target neuron. Receptors activated by an inhibitory transmitter cause the membrane potential to increase beyond the resting value of −70 mV, perhaps to −80 mV or more, a process known as hyperpolarization. Excitatory transmitters cause the membrane potential to diminish, a process of depolarization.

Electrotonic potentials

The initial target cell response to excitatory stimulation takes the form of local, graded or electrotonic potentials (ETPs). Positive ETPs on multipolar neurons are usually on one or more dendrites in receipt of excitatory synapses. At a low frequency of stimulation, small, decremental waves of depolarization extend for 50–100 µm along the affected dendrites, dying away after 2 or 3 ms (Figure 7.5). With increasing frequency, the waves undergo stepwise temporal summation to form progressively larger waves continuing on over the surface of the soma. Spatial summation occurs when waves traveling along two or more dendrites coalesce on the soma (Figure 7.6). About 15 mV of depolarization, to a value of −55 mV, brings the neuron to threshold (firing level) at its most sensitive region, or trigger point, in the initial segment of the axon (Figure 7.7). The initial segment is the first region to ‘give way’ at threshold voltage, because it is exceptionally rich in voltage-gated sodium channels. When the level of depolarization (the generator potential) reaches threshold, nerve impulses in the form of action potentials are suddenly fired off.

In sensory neurons of cranial and spinal nerves, the trigger zone generates what is known as the receptor potential. The trigger zone of sensory neurons is exceptionally rich in the sensation-specific transduction channels defined earlier.

In the case of myelinated nerve fibers, the trigger point is easily identified: in multipolar neurons, it is immediately proximal to the first myelin segment, and in peripheral sensory neurons it is immediately distal to the final segment.

Negative excitatory postsynaptic potentials are elicited by inhibitory transmitters. They, too, are decremental.

The shape of action potentials

A single action potential is depicted in Figure 7.8. The spike segment of the potential commences when the local response reaches threshold value at −55 mV. The rising phase of depolarization passes beyond zero to include an overshoot phase reaching about +35 mV. Overshoot phase includes the rising and falling phases above zero potential. The falling phase planes out in a brief after-depolarization, prior to an undershoot phase of after-hyperpolarization where the membrane potential reaches about −75 mV before returning to baseline.

It should be pointed out that standard representations such as this figure show the voltage changes plotted against a time base. When direction is substituted for time, it becomes obvious that the time-based picture matches the sequence in a peripheral sensory neuron. For all multipolar neurons, the representation should be the reverse (Figure 7.7).

When the local response to stimulation has depolarized the membrane to threshold, the sudden increase in depolarization is brought about by the opening of voltage-gated sodium channels (Figure 7.9). Sodium entry produces further depolarization, and the positive feedback causes the remaining Na+ channels of the trigger zone to open, driving the membrane charge momentarily into a charge reversal (overshoot) of +35 mV, approaching the Nernst potential for sodium. At this point, the sodium channels commence a progressive inactivation, and the voltage-gated potassium channels are simultaneously triggered to open. Current flow switches from Na+ inflow to K+ outflow. The hyperpolarization phase is explained by the voltage-gated sodium channels being completely inactivated prior to closure of the potassium channels. Any remaining discrepancy is adjusted by activity of the Na+–K+ pump.

Close analyses of the sodium channels involved have revealed a dual mechanism of operation, as indicated in Figure 7.10. In the resting state, an activation gate in the midregion of both Na+ and K+ channel pores is closed. The sodium channel is the first to respond at threshold, by opening its activation gate and allowing a torrential inflow of Na+ ions down the concentration gradient. One millisecond later, a second, inactivation gate, in the form of a flap of globular protein, seals the exit into the cytosol while the K+ channel pore is opening. When the membrane potential approaches normality, the sodium gating reverts to its resting inactive state.

The action potential response to depolarization is all or none, a term signifying that if it occurs at all, it is total. In this respect, it is quite unlike the graded potentials that summate to initiate action potentials. Action potentials are also distinguished from graded potentials in being non-decremental; they are propagated at full strength along the nerve fiber all the way to the nerve endings, which in the case of lower limb neurons may be more than a meter away from the parent somas.

During the rising and early falling phases of the action potential, the neuron passes through an absolute refractory period where it is incapable of initiating a second impulse because too many voltage-gated channels are already open (Figure 7.11). This is followed by a relative refractory period, where stimuli in excess of the standard 15-mV requirement can elicit a response. It is quite common for the generator potential to reach up to 35 mV, triggering impulses at 50–100 impulses per second, expressed as 50–100 Hz (Hertz = times per second).

Conduction velocities

In the case of unmyelinated nerve fibers, conduction velocity is proportionate to axonal diameter, because (a) the greater the volume of axoplasm, the more rapid is the longitudinal current flow; and (b) wider axons have a greater surface membrane area, with proportionate increase in ion channel numbers permitting faster membrane depolarization and voltage recovery. Diameters range from 0.5 to 2 µm, and velocities from 0.5 to 2 m/s.

Myelinated nerve fibers range in external diameter (i.e. including the myelin sheath) from 2 to 25 µm. In addition to the two axonal size benefits mentioned, wider myelinated fibers possess longer internodal myelin segments. The spikes are accordingly further apart, with increased conduction velocity reminiscent of a runner with a longer stride. Conduction velocities for various kinds of peripheral nerve fibers are given in Chapter 9.

Core Information

Ions are electrically charged atoms or groups of atoms. Na+ and K+ are cations, Cl and P (proteins) are anions. Cell membranes are charged capacitors carrying a resting potential (voltage) of −70 mV.

Passive ion channels for Na+, K+, and Cl are open at all times, and the ions diffuse down their concentration gradient through their respective channels. However, Na+ channels are relatively scarce, whereas K+ and Cl are numerous. K+ ions are abundant in the cytosol, being attracted by protein anions in the cytoskeleton and repelled by the Na+ ions outside. A Na+–K+ channel pump maintains the resting steady state of the membrane potential.

The initial response of a multipolar neuron to an excitatory stimulus takes the form of decremental waves of positive electrotonus. Temporal and/or spatial summation of such waves produces a generator potential at the initial segment of the axon. At a threshold value of 50 mV, action potentials are fired off along the nerve fiber. On the other hand, inhibitory stimulation takes the form of negative electrotonic waves that summate to produce overall hyperpolarization.

The action potential (spike) is characterized by a rising phase from baseline up to +35 mV, a falling phase down to baseline followed by a hyperpolarization phase down to −75 mV with return to baseline. Triggering the rapid depolarization is activation of voltage-gated ion channels, whereby the ion channel is briefly (1 ms) opened completely, allowing massive Na+ inflow tipping the potential to +35 mV, whereupon the channels are shut by inactivation gates and voltage-gated K+ channels are opened, with a current switch from Na+ inflow to K+ outflow.

For about 1 ms following impulse initiation, the trigger zone initial segment is absolutely refractory to further stimulation; for the following 3 ms, it is relatively refractory.

Action potentials are propagated in an all-or-none manner and at full strength along the fiber and its branches. Propagation is continuous along unmyelinated axons, saltatory (from node to node) along myelinated axons. Saltatory conduction is much faster. The widest fibers have the longest internodal segments and the fastest conduction rates.