23
Cardiac Pacing
Heart muscle | Striated muscle |
Target region is large | Limited target region |
Easy to avoid excitation of unwanted nerve | Excitable tissue to be avoided is close to target tissue |
In effect, all cells are similar in size and excitability | Fibers vary in diameter, questions there are concerning recruitment, order of recruitment, and order that can differ from normal |
Does not fatigue | Fatigue must be considered |
Pulse-on-T | Does not fibrillate |
Chamber paced | Chamber sensed | Response | Description of mechanism |
V A D V V A A V D |
0 0 0 V V A A A V |
0 0 0 I T I T T I |
Fixed-rate ventricular pacing Fixed-rate atrial pacing Fixed-rate AV pacing Ventricular sensing and pacing, inhibited mode Ventricular sensing and pacing, triggered mode Atrial sensing and pacing, inhibited mode Atrial sensing and pacing, triggered mode Atrial sensing, ventricular pacing, triggered mode Ventricular sensing, AV pacing, inhibited |
Fourth letter: rate modulation | Fifth letter: antiarrhythmia function | ||||||||||
| |||||||||||
Note: First, second, third letters as in Table 23.2 Source: Bernstein, et al. (1987) |
(23.1) |
since the current leaving the electrode enters the interstitial space only. In fact, the boundary condition in the interstitial space is that the total current entering this space at r = a is the total applied current Ia. In view of Equation (23.1) and the definition of Vm then at r = a we have
(23.2) |
Consequently, the aforementioned boundary condition is
(23.3) |
where | = interstitial bidomain conductivity, as described in Equation 9.17 | |
Ia | = applied current, assumed to be cathodal (hence the minus sign) |
Now Equation 9.28 describes the behavior of Vm in the region r a under steady-state conditions (namely ). If this is substituted into Equation 23.3 and solved for the coefficient KA we obtain
(23.4) |
Substituting this back into Equation 9.28 gives an expression for Vm, namely
(23.5) |
The maximum induced voltage is at r = a; in this case, Equation 23.5 reduces to Vm max or
(23.6) |
One notes from Equation 23.6 that the smaller the electrode the larger the induced voltage. For electrodes that are large compared with the space constant, the induced voltage varies inversely as the square of the electrode radius; but when the radius is much smaller than the space constant, the voltage varies only as the first power of the inverse radius.
Since no gas is produced, the lithium cell can be hermetically sealed. Furthermore the serious problem of breakdown of the separator in the zinc-mercury battery does not arise in the lithium-iodine cell since, in the latter, the separator forms spontaneously and is self-healing. The lithium battery also has a reliable end-of-life decay characteristic which fails slowly enough to permit its detection in a normal checkup and the scheduling of a timely replacement. In addition to these attractive features, the approximate 50% survival of the lithium-iodine battery is 12 years (Bernstein, 1991).
This amounts to a reduction in the stimulus strength by 2.0. In fact in experimental studies, one finds that the initial threshold at the time of placement of a ventricular pacing lead increases by factors of 2-4 over the following period (Miller et al., 1985).
Bernstein AD (1991): Classification of cardiac pacemakers. In Cardiac Pacing and Electrophysiology, 3rd ed., ed. N El-Sherif, P Samet, pp. 494-503, W.B. Saunders, Philadelphia.
Bernstein AD, Camm AJ, Fletcher RD, Gold RD, Rickards AF, Smyth NPD, Spielman SR, Sutton R (1987): The NASPE/BPEG generic pacemaker code for antibradyarrhythmia and adaptive-rate pacing and antitachyarrhythmia devices. PACE, Pacing Clin. Electrophysiol. 10: 794-9.
Bourland JD, Mouchawar GA, Nyenhuis JA, Geddes LA, Foster KS, Jones JT, Graber GP (1990): Transchest magnetic (eddy-current) stimulation of the dog heart. Med. & Biol. Eng. & Comput. 28: 196-8.
Breivik K, Hoff PI, Ohm OJ (1985): In favor of bipolar ventricular leads. In Pacemaker Leads, ed. AE Aubert, H Ector, pp. 33-8, Elsevier, Amsterdam.
Cartee LA, Plonsey R (1992): The transient subthreshold response of spherical and cylindrical cell models to extracellular stimulation. IEEE Trans. Biomed. Eng. 39: 76-85.
El-Sherif N, Samet P (eds.) (1991): Cardiac Pacing and Electrophysiology, 3rd ed., 784 pp. Saunders, Philadelphia.
Greatbatch W, Seligman LJ (1988): Pacemakers. In Encyclopedia of Medical Devices and Instrumentation, ed. JG Webster, pp. 2175-203, John Wiley & Son, New York.
Irwin DD, Rush S, Evering R, Lepeshkin E, Montgomery DB, Weggel RJ (1970): Stimulation of cardiac muscle by a time-varying magnetic field. IEEE Trans. Magn. Mag-6:(2) 321-2.
Miller SL, Mac Gregor DC, Margules ES, Bobyn JD, Wilson GJ (1985): Theoretical justification for size reduction of porous-surfaced electrodes. In Pacemaker Leads, ed. AE Aubert, H Ector, pp. 57-62, Elsevier, Amsterdam.
Mouchawar GA, Bourland JD, Nyenhuis JA, Geddes LA, Foster KS, Jones JT, Graber GP (1992): Closed-chest cardiac stimulation with a pulsed magnetic field. Med. & Biol. Eng. & Comput. 30:(2) 162-8.
Parsonnet V, Furman S, Smyth N (1974): Implantable cardiac pacemakers. Am. J. Cardiol. 34: 487-500.
Plonsey R, Barr RC (1982): The four-electrode resistivity technique as applied to cardiac muscle. IEEE Trans. Biomed. Eng. BME-29: 541-6.
Tacker WA (1988): Electrical defibrillators. In Encyclopedia of Medical Devices and Instrumentation, Vol. 2, ed. JG Webster, pp. 939-44, John Wiley & Sons, New York.
Tarjan PP (1991): Engineering aspects of modern cardiac pacing. In Cardiac Pacing and Electrophysiology, 3rd ed., ed. N El-Sherif, P Samet, pp. 484-93, W.B. Saunders, Philadelphia.
With an endocardial lead the electrode is surrounded by cardiac tissue on one side and blood on the other. Since the blood conductivity is about three times greater than cardiac tissue, in our very simple isotropic model the applied current should possibly be reduced by some factor over what it would be in the assumed uniform model developed in Chapter 9 and extended above. We have chosen this factor to be around 35%. For a 1 ms stimulus pulse the membrane should come close to the assumed steady-state value (Cartee, 1991). Equation 23.6 gives the maximum steady-state induced voltage if we identify a as the equivalent radius of the (spherical) electrode. A fairly typical electrode has an area of 8.8 mm² (Breivik, Hoff, and Ohm, 1985). This is converted into a sphericalized radius of 1.2 mm as described in Miller et al. (1985). We also choose the space constant as l = 0.5 mm (Plonsey and Barr, 1982), and assign (the interstitial conductivity as defined in Equation 9.17) the value of .002 S/cm. Then
Vm max = 34 · Ia (23.7)
where Ia = applied cathodal current [mA] Vm max = membrane voltage [mV]
If Ia is 0.44 mA, then Vm is 15.0 mV, which is not an unreasonable threshold voltage, considering the many approximations in this simple, homogeneous, isotropic model. The result is in the range of published measurements (Breivik, Hoff, and Ohm, 1985) and the empirical current threshold value of 0.05 mA/mm² (Tarjan, 1991). Based on Equation 23.6 the use of a smaller-sized electrode will diminish the required current for a given threshold transmembrane voltage, as noted above. There is a limit to the amount by which the electrode size can be decreased. The reason is that one has to reach the required threshold current with a fixed battery voltage, and this limits the maximum allowable circuit impedance. The latter, however, is mainly the electrode-tissue impedance, which increases inversely with the electrode radius. In a practical design one should also include the possible effect of growth of fibrous tissue around the electrode since this will increase the size of the effective radius a in Equation 23.6 (see Section 23.7). We note that in Equation 23.6, Vm is positive (depolarization) for an assumed cathodal (monopolar) electrode.
When the electrode is monopolar, the reference electrode is invariably chosen as the case of the pulse generator unit. The main advantage of the monopolar system is that only a single electrode wire (per chamber) has to be implanted. For endocardial leads this smaller size compared to a bipolar lead is clearly desirable. In addition, it also represents a smaller wire lying in the tricuspid valve, through which the catheter electrode must run. One of the disadvantages, though, is the presence of stimulating current throughout a large part of the thorax; thus striated muscles lying in this region may be stimulated, giving rise to annoying muscle twitch. Both the phrenic and diaphragmatic nerves have also been known to be affected.
The bipolar electrode has an electric field that varies as 1/r³ rather than 1/r² and, consequently, is less likely to affect excitable tissues remote from the site at which the electrodes have been placed. In addition, when these electrodes are used in the sensing mode, the bipolar configuration is less sensitive to interference from distant extraneous signals. Such electromagnetic interference may at times be mistaken for a cardiac signal and incorrect logical inferences drawn by a multiprogrammable pacemaker. With present technology the advantage of handling a single versus double wire per chamber is no longer very great. For more historical reasons unipolar systems are favored in the United States, whereas European systems favor bipolar.
23.6 IMPLANTABLE ENERGY SOURCES
At the time of the development of the early pacemakers the battery with longest life was the zinc-mercury battery. This was adopted for pacemaker use, but even as late as 1970 the best that could be achieved, on average, was a 2 year life-span. A second problem with the zinc-mercury cell is liberation of hydrogen gas at high pressure (300 psi). A consequence is the inability to create a hermetical seal of the cell. By 1970 the limiting step in pacemaker longevity was this power source.
A very wide range of power sources for pacemakers have been proposed and investigated. These include schemes that utilize the body's own chemistry and energy. For example, the energy from the beating heart itself was investigated. Various types of fuel cells were considered. None have been actually used clinically. In addition, rechargeable systems using external power sources coupled through the body tissue have been tried, but very few have actually been used.
A major breakthrough was the introduction of the lithium battery, which is now used in virtually all new pacemaker systems. The reaction involves lithium and iodine:
2Li + I2 2LiI (23.8) 23.7 ELECTRODES
The pacemaker system consists of a package containing the pulse generator and pulse-sensing elements along with the associated logic circuits and the battery; this package is connected by leads to the electrodes themselves. The leads carry heart signals from the heart to the electronics and current stimuli to the heart. While simple in function, the latter components have posed challenging engineering problems.
The leads are insulated wires that must carry current with low resistance and be capable of reliable operation for many years in spite of repeated flexing. The use of hard flexible metals is reguired. Early leads were twisted or braided strands placed in a hollow catheter. At present, in the United States a helical coiled lead is favored, which is put into position by a stylet wire. This shape converts the various types of body and heart movement into torsion, which the metal can easily tolerate. The coil may be made of stainless steel, Eigiloy, or MP35N, all of which are alloys with excellent strength. The insulating materials that have proven best are silicone rubber and polyurethane.
The electrodes themselves are also, usually, an alloy. Surface preparation is important since microcracks can become a site of local currents and corrosion. A series capacitance is always used to eliminate any DC-current flow and achieve the balanced biphasic condition discussed in Chapter 21. The use of porous electrodes has also been suggested to improve ingrowth of tissue and stabilization of the electrode. The endocardial electrode generally becomes encased in collagen. Using Equation 23.6 we can consider that this increases the effective electrode radius, hence decreasing the stimulating voltage, for a given current source. A typical capsule thickness of 0.6 mm (Miller et al., 1985) increases a from 1.2 to 1.8 mm in the illustrative example leading to Equation 23.7. The result is a change of coefficient in Equation 23.7:
Vm max = 16.8 · Ia (23.9) 23.8 MAGNETIC STIMULATION OF CARDIAC MUSCLE
Several experiments with magnetic stimulation of cardiac muscle have been reported (Bourland et al., 1990; Irwin et al., 1970; Mouchawar et al., 1992).
In their experiments, Mouchawar et al. (1992) used two coplanar stimulation coils placed close to the heart of an anesthetized dog. The coils had an outer radius of 8.5 cm, a thickness of 1.25 cm, and included 30 turns. The distance from the coils to the ventricles within the chest ranged from 2 to 3.5 cm. The magnetic stimulator produced an ectopic beat in the vagal-arrested dogs with an average energy of approximately 12 kJ. This is much higher than the energy needed to stimulate magnetically the human peripheral nervous system, which requires typically 400 J.
REFERENCES