5
Synapses, Receptor Cells, and Brain
The focus of this book is primarily the electric activity of nerve and muscle and the extracellular electric and magnetic fields that they generate. It is possible to undertake such a study without considering the functional role of nerve and muscle in physiology. But without some life science background, the reader's evaluation of electrophysiological signals would necessarily be handicapped. For that reason, we have included an overview, with appropriate terminology, of relevant topics in physiology. This chapter is therefore devoted to a survey of the organization of the nervous system and its main components. It is hoped that the reader will find it helpful for understanding of the physiological function of the excitable tissues discussed in other chapters, and to know what to look for elsewhere. For further study, we suggest the following texts: Jewett and Rayner (1984); Kuffler, Nicholls, and Martin (1984); Nunez (1981); Patton et al. (1989); Schmidt (1981); Shepherd (1988); all of which appear in the list of references.
A discussion of the nervous system might logically begin with sensory cells located at the periphery of the body. These cells initiate and conduct signals to the brain and provide various sensory inputs such as vision, hearing, posture, and so on. Providing information on the environment to the body, these peripheral cells respond to stimuli with action pulses, which convey their information through encoded signals. These signals are conducted axonally through ascending pathways, across synapses, and finally to specific sites in the brain. Other neural cells in the brain process the coded signals, and direct the actions of muscles and other organs in response to the various sensory inputs. The entire circuit is recognized as a reflex arc, a basic unit in the nervous system. In some cases it is entirely automatic, and in others it is under voluntary control.
No neurons run directly from the periphery to the brain. Normally the initiated signal is relayed by several intermediate neural cells. The interconnection between neurons, called the synapse, behaves as a simple switch but also has a special role in information processing. The junction (synapse) between a neural cell and the muscle that it innervates, called the neuromuscular junction, has been particularly well studied and provides much of our quantitative understanding about synapses. Since it is impossible to discuss the structure of the nervous system without including synapses, we begin our discussion with an examination of that topic.
Figure 5.1 shows the synapse between a nerve and muscle cell, a neuromuscular junction.
In cardiac muscle the intercellular space between abutting cells is spanned by gap junctions, which provide a low-resistance path for the local circuit currents and may be regarded as an electric (myo-myo) synapse. (The gap, however, is not called a synaptic cleft.) This type of junction is discussed in a later chapter.
The presynaptic nerve fiber endings are generally enlarged to form terminal buttons or synaptic knobs. Inside these knobs are the vesicles that contain the chemical transmitters. The arrival of the action pulse opens voltage-gated Ca2+ channels that permit an influx of calcium ions. These in turn trigger the release into the synaptic gap, by exocytosis, of a number of the "prepackaged" vesicles containing the neurotransmitter.
On average, each neuron divides into perhaps 1000 synaptic endings. On the other hand, a single spinal motor neuron may have an average of 10,000 synaptic inputs. Based on this data, it is not surprising that the ratio of synapse to neurons in the human forebrain is estimated to be around 4×104. In neuro-neuro synapses, the postjunctional site may be a dendrite or cell body, but the former predominates.
Fig. 5.1. The neuromuscular (synaptic) junction. Many features of this junction are also seen in the nerve-nerve synapse. The terminal ending of the prejunctional cell contains many vesicles, which are packages of the neurotransmitter acetylcholine (ACh). The gap between the pre- and postjunctional membrane is on the order of 15-30 nm. The transmitter is released by the arrival of an action impulse in the nerve; it diffuses and binds to receptors on the postjunctional muscle membrane, bringing about an EPSP and the initiation of a muscle action potential.
![]() | (5.1) |
![]() | (5.2) |
where | INa, IK | = | sodium and potassium ion currents [µA/cm²] |
DGNa, DGK | = | additional sodium and potassium conductances following activation by ACh (i.e., nearly equal large conductances) [mS/cm²] | |
VNa, VK | = | the Nernst voltages corresponding to the sodium and potassium concentrations [mV] | |
Vm | = | membrane voltage [mV] |
Fig. 5.2. (A) Electric model of the postsynaptic cell with excitatory synapse (a neuromuscular junction is specifically represented). Most of the cell is bounded by normal excitable membrane, as described on the left. In addition, a specialized postsynaptic region (end-plate) exists that is sensitive to the chemical transmitter ACh. When the ACh is released, it diffuses to receptor sites on the postjunctional membrane, resulting in the opening of potassium and sodium gates. This effect is mimicked in the model through closing of the switch, hence introducing the high transmembrane potassium and sodium conductance (DGNa and DGK).
(B) The corresponding model with an inhibitory synapse.
If we now introduce and maintain the reversal voltage across the postsynaptic membrane through a voltage clamp, Equations 5.1 and 5.2 are replaced by:
![]() | (5.3) |
![]() | (5.4) |
since the transmembrane voltage Vm takes the value VR, the reversal voltage.
For the conditions described by Equations 5.3 and 5.4, since the total current at the reversal voltage is zero, it follows that the sodium and potassium ion currents are equal and opposite in sign (i.e., DINa = -DIK). Consequently, applying this condition to Equations 5.3 and 5.4 results in the following:
DGNa(VR - VNa) = - DGK(VR - VK)
(5.5)
Collecting terms in Equation 5.5 gives
(DGNa + DGK) VR = DGNaVNa - DGKVK
(5.6)
and solving for the reversal voltage results in
(5.7)
From Equation 5.7 it is easy to see that if the introduction of ACh causes an equal increase in the sodium and potassium conductances - that is, if
(5.8)
then
(5.9)
as noted previously. For the frog's neuromuscular junction the reversal voltage comes to around -25 mV. In practice, the reversal voltage is a little closer to zero, which means that ACh increases the sodium conductance a little more than it does the potassium conductance. It is also clear that the increase of these sodium and potassium conductances must occur simultaneously. The differences in the mechanisms of the membrane activation and synaptic voltages are described in Table 5.1.
Table 5.1. Comparison of the mechanisms of membrane activation with synaptic voltage change for the post-synaptic neuromuscular junction.
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Source: After Kuffler, Nicholls and Martin, 1984. |
Returning to Figure 5.2, and applying Thevenin's theorem, we can simplify the receptor circuit to consist of a single battery whose emf is the average of VNa and VK (hence VR), and with a conductivity gR = gNa + gK. Its effect on the normal membrane of the postsynaptic cell can be calculated since the total current at any node is necessarily zero - that is, there are no applied currents. Consequently,
![]() | (5.10) |
The chloride path in Figure 5.2 is not included in Equation 5.10, since gCl 0 , as noted above. Solving for the postsynaptic potential Vm results in
![]() ![]() | (5.11) |
This expression is only approximate since the distributed membrane is represented by a discrete (lumped) membrane. In addition, if the membrane is brought to or beyond threshold, then the linear circuit representation of Figure 5.2 becomes invalid. Nevertheless, Equation 5.11 should be a useful measure of whether the postsynaptic potential is likely to result in excitation of the postsynaptic cell.
The sensory receptor contains membrane regions that respond to one of the various forms of incident stimuli by a depolarization (or hyperpolarization). In some cases the receptor is actually part of the afferent neuron but, in others it consists of a separate specialized cell. All receptor cells have a common feature: They are transducers - that is, they change energy from one form to another. For instance, the sense of touch in the skin arises from the conversion of mechanical and/or thermal energy into the electric energy (ionic currents) of the nerve impulse. In general, the receptor cells do not generate an activation impulse themselves. Instead, they generate a gradually increasing potential, which triggers activation of the afferent nerve fiber to which they are connected.
The electric events in receptors may be separated into two distinct components:
These voltage changes are, however, one and the same in a receptor such as the Pacinian corpuscle, in which there are no specialized receptor cells. But in cases like the retina where specialized receptor cells (i.e., the rods and cones) do exist, these voltages are separate. In the following, we consider the Pacinian corpuscle in more detail (Granit, 1955).
Because the neural output is carried in the form of all-or-nothing action pulses, we must look to another form of signal than one that is amplitude modulated. In fact, the generator or receptor potentials cause repetitive firing of action pulses on the afferent neuron, and the firing rate (and rate of change) is reflective of the sensory input. This coded signal can be characteristic of the modality being transduced.
In a process of adaptation, the frequency of action potential firing decreases in time with respect to a steady stimulus. One can separate the responses into fast and slow rates of adaptation, depending on how quickly the frequency reduction takes place (i.e., muscle spindle is slow whereas touch is fast).
Fig. 5.3. The Pacinian corpuscle consists of a myelinated sensory neuron whose terminal portion is unmyelinated. The unmyelinated nerve ending and the first node lie within a connective tissue capsule, as shown.
Werner R. Loewenstein (1959) stimulated the corpuscle with a piezoelectric crystal and measured the generator voltage (from the unmyelinated terminal axon) and the action potential (from the nodes of Ranvier) with an external electrode. He peeled off the layers of the corpuscle, and even after the last layer was removed, the corpuscle generated signals similar to those observed with the capsule intact (see recordings shown in Figure 5.4).
Fig. 5.4. Loewenstein's experiments with the Pacinian corpuscle.
(A) The normal response of the generator voltage for increasing applied force (a)-(e).
(B) The layers of the corpuscle have been removed, leaving the nerve terminal intact. The response to application of mechanical force is unchanged from A.
(C) Partial destruction of the core sheath does not change the response from A or B.
(D) Blocking the first node of Ranvier eliminates the initiation of the activation process but does not interfere with the formation of the generator voltage.
(E) Degeneration of the nerve ending prevents the creation of the generator voltage.
The generator voltage has properties similar to these of the excitatory postsynaptic voltage. (The generator voltage is a graded response whereby a weak stimulus generates a low generator voltage whereas a strong stimulus generates a large generator voltage.) Even partial destruction of the corpuscle did not prevent it from producing a generator voltage. But when Loewenstein destroyed the nerve ending itself, a generator voltage could no longer be elicited. This observation formed the basis for supposing that the transducer itself was located in the nerve ending. The generator voltage does not propagate on the nerve fiber (in fact, the nerve ending is electrically inexcitable) but, rather, triggers the activation process in the first node of Ranvier by electrotonic (passive) conduction. If the first node is blocked, no activation is initiated in the nerve fiber.
The ionic flow mechanism underlying the generator (receptor) voltage is the same as that for the excitatory postsynaptic voltage. Thus deformation of the Pacinian corpuscle increases both the sodium and potassium conductances such that their ratio (PNa/PK) increases and depolarization of the membrane potential results. As a result, the following behavior is observed:
The entire human brain weighs about 1500 g (Williams and Warwick, 1989). In the brain the cerebrum is the largest part. The surface of the cerebrum is strongly folded. These folds are divided into two hemispheres which are separated by a deep fissure and connected by the corpus callosum. Existing within the brain are three ventricles containing cerebrospinal fluid. The hemispheres are divided into the following lobes: lobus frontalis, lobus parietalis, lobus occipitalis, and lobus temporalis. The surface area of the cerebrum is about 1600 cm², and its thickness is 3 mm. Six layers, or laminae, each consisting of different neuronal types and populations, can be observed in this surface layer. The higher cerebral functions, accurate sensations, and the voluntary motor control of muscles are located in this region.
The interbrain or diencephalon is surrounded by the cerebrum and is located around the third ventricle. It includes the thalamus, which is a bridge connecting the sensory paths. The hypothalamus, which is located in the lower part of the interbrain, is important for the regulation of autonomic (involuntary) functions. Together with the hypophysis, it regulates hormonal secretions. The midbrain is a small part of the brain. The pons Varolii is an interconnection of neural tracts; the cerebellum controls fine movement. The medulla oblongata resembles the spinal cord to which it is immediately connected. Many reflex centers, such as the vasomotor center and the breathing center, are located in the medulla oblongata.
In the cerebral cortex one may locate many different areas of specialized brain function (Penfield and Rasmussen, 1950; Kiloh, McComas, and Osselton, 1981). The higher brain functions occur in the frontal lobe, the visual center is located in the occipital lobe, and the sensory area and motor area are located on both sides of the central fissure. There are specific areas in the sensory and motor cortex whose elements correspond to certain parts of the body. The size of each such area is proportional to the required accuracy of sensory or motor control. These regions are described in Figure 5.6. Typically, the sensory areas represented by the lips and the hands are large, and the areas represented by the midbody and eyes are small. The visual center is located in a different part of the brain. The motor area, the area represented by the hands and the speaking organs, is large.
Table 5.2. The cranial nerves
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