Influence of changing peripheral geometry on electrical impedance tomography measurements.
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Biomedical subjects
Publications and source records attributed to E Gersing.
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The complex impedance of each kind of tissue depends on the frequency in a characteristic manner. Using appropriate measuring frequencies, EIT can provide a differentiating insight into the interior of a body. Therefore, a knowledge of the tissue impedance spectra of various organs is essential for choosing the appropriate frequencies. The impedance data of various tissues in different states (normal, altered by ischaemia or cancerous) show that the characterizing differences occur at frequencies below 500 kHz and down to a few kilohertz. Moreover, the spectra show that the imaginary component of impedance essentially contributes to the characterization of the kind and state of a tissue, even though the dissipative and reactive components are connected by the Kramers-Kronig relations. The course of a dispersion and the position in the frequency range, determined by the distribution of the time constants in the tissue, are clearly presented by the imaginary component. Tomographic imaging combined with spectroscopy for tissue characterization requires a frequency range of at least 10-800 kHz. The upper frequency limit depends on the fluid content of the tissue under investigation.
In cancer therapy, hyperthermic treatment by microwaves requires a non-invasive and reliable method for measuring the temperature distribution inside the body. EIT seems to be able to evaluate the temperature-dependent tissue impedance for delivering the temperature profile in a cross-section of the body. Assuming a temperature coefficient of the resistivity of an electrolyte of about -2% degrees C-1 and temperature measurement to an accuracy of 0.5 degree C, the error in impedance measurement must be lower than 1%. Irrespective of the accuracy of the tomographic measuring system itself, a problem arises from the fact that the fluid content in the tissue as well as the fluid distribution between the extracellular and the intracellular compartment change with temperature. Measurements of the impedance spectra of skeletal muscle and tumours of rats during hyperthermic treatment deliver very different temperature coefficients of the resistivity from -1.3% degree C-1 to -3% degree C-1, thus questioning the feasibility of the EIT as a temperature measuring method. However, changes in the tissue caused by hyperthermia (e.g., fluid shifts, development of oedema and membrane disintegration) can be detected.
The electrical impedance is a characteristic tissue property that can be used for imaging cross sections of the body. The full information contained in the complex tissue impedance can be utilized if not only the real part Re(Z) or the magnitude of the impedance but also the imaginary part Im(Z) or the phase is considered. Impedance measurements provide information about tissue structure, particularly extracellular space and cell membranes. Therefore, an electrical impedance tomograph was constructed which uses alternatively the real component, the imaginary component, the magnitude or the phase in an extended frequency range. The components are evaluated by digital correlation. The device allows state-different or frequency-different (almost static) imaging. 16 electrodes are used. Image reconstruction is arrived at by a back-projection algorithm. For frequency-different imaging the measured imaginary part values can be used after normalization (division by the measuring frequency); instead of the phase values, the quotients Im(Z)/Re(Z) are taken and divided by the actual frequency, representing time constants of the tissue. Frequency-different measurements on a tank filled with saline containing a metallic rod and an insulator show in a very illustrative manner the impedance of the metal/electrolyte boundary layer (phenomenon of electrode polarization). The first in vivo measurements are very promising, state-different as well as frequency-different images of the human thorax represent, for example, the lungs with higher contrast using the phase than using the magnitude.(ABSTRACT TRUNCATED AT 250 WORDS)
In 22 human donor livers the measurement of the non-invasive bioelectrical impedance was performed prospectively to evaluate the degree of tissue damage sustained during cold ischemia. The results of the measurement were correlated with liver function, the method of organ preservation and the period of ischemia. The impedance was measured in vivo as 620 ohm (at 192 Hz), the phase angle as -7.4 degrees (at 5 kHz). The results were compared with the data obtained from 72 patients who underwent elective laparotomies. The 22 donor livers were studied further during ischemia. The method was found to be a reliable way of detecting severe damage to the hepatocytes during the cold ischemia.
Recently it has been shown that during liver ischemia at 25 degrees C the presence of glycogen, by supporting glycolytic supply, not only retards ATP decay but also leads to a corresponding delay of the rise of the electrical impedance of the ischemic organ. A sudden rise of impedance during ischemia is supposed to indicate the closure of gap junctions. Although similar effects on energy state do exist at low temperature, the impact of glycogen on the electrical impedance under storage conditions has still to be evaluated. Therefore, in a model with protected porcine livers, we examined the intraischemic effects of a preischemic glucose and potassium feeding on impedance changes, lactate production and ATP-content at a storing temperature of 5 degrees C. Impedance was measured both in the low frequency alpha- and the higher frequency beta-dispersion range. In addition, the same parameters were determined in a group of unprotected livers. In this group all animals had received glucose and potassium orally prior to ischemia. Whereas in case of preischemic glucose feeding the rise of impedance in the range of the beta-dispersion (e.g. 5kHz) roughly coincided with the exhaustion of ATP, the corresponding impedance changes in the protected group without a glucose premedication only occurred when glycolysis had already stopped and ATP had reached basal values for some hours. In contrast, in the alpha-dispersion range the impedance changes in the latter group just began at the time when ATP became exhausted and lactate production ceased.(ABSTRACT TRUNCATED AT 250 WORDS)
Ischemia causes changes in organ tissue (e.g. during operation or transplantation) which may finally lead to irreversible injury, so that the organ can no longer be resuscitated. To the extent that these changes affect the electrical properties of the tissue they are manifested in the impedance spectrum. As an example, the course of impedance of a HTK-protected porcine liver is presented in the frequency range of 0.1 Hz to 10 MHz, which includes two dispersion--alpha- and beta-dispersion. Using a suitable electrical equivalent circuit analogue to the structure of the liver, the behavior of the alpha- and beta-dispersion is explained on the basis of gap junction closure and narrowing of the extracellular space due to cell swelling.
In order to further corroborate the recent findings on liver ischemia after perfusion with solutions containing an additive of heptanol, that the intraischemic loss of cell-to-cell communication in protected livers can be detected by electrical impedance measurement (1), we tried to induce uncoupling in porcine liver by tissue acidification applying acidified protective solutions. Moreover, the effects of preischemic inhaling of high concentrations of the decoupling anesthetic halothane were examined in unprotected ischemic livers (2-5). Electrical impedance, biochemical analyses, and pH measurements were applied in parallel. In addition, typical time courses of impedance parameters of unprotected liver and skeletal muscle were compared, because the latter is devoid of gap junctions. In spite of overlapping side-effects of the respective uncoupling measure, the results suggest that the loss of cell-to-cell communication in the liver is associated with measureable effects on the electrical impedance.
Heptanol, an agent known for inducing closure of gap junctions in a variety of organs, was used to evaluate the influence of uncoupling on the electrical impedance of livers during ischemia. Heptanol was added to a modified HTK solution or to Belzer's UW-CSS solution. Livers of swine were then perfused for 8 min with either one of the solutions containing heptanol or a solution devoid of this additive. During the following ischemia the phase angle of impedance at 5 kHz, pH and different biochemical parameters were determined. Heptanol fundamentally changed the time course of impedance and made the otherwise characteristic fast increase of the phase angle of impedance disappear. Already early during ischemia the phase angle was raised in a dose-dependent manner up to even highest values at the beginning of the whole observation period in case of a fully developed effect. Heptanol also stimulated anaerobic energy turnover. The results suggest that, besides unspecific effects, heptanol induces uncoupling which is detectable by electrical impedance measurement.
In order to evaluate the importance of glycogen for the hepatic tolerance to ischemia, livers of swine fed a glucose-potassium solution for premedication were perfused with either Bretschneider's HTK-solution (histidine-tryptophan-ketoglutarate) or with Euro-Collins-solution (EC) prior to subsequent ischemia at 25 and 5 degrees C. During ischemia, in regular intervals or continuously, energy rich phosphates, lactate, intrahepatic pH and the electrical impedance of liver tissue were determined. The results were compared with corresponding data from swine which had starved for 48 h. Corresponding to the higher glycogen content, energy supply during ischemia was markedly improved by the premedication. Despite high amounts of glucose in the EC-solution, energy supply after glucose-potassium premedication was no better with EC-solution than with HTK-solution. Moreover, glucose uptake led to concomitant cellular water uptake. Electrical impedance measurements during ischemia mirrored improved energetical protection by the glucose-potassium premedication.
UNLABELLED: During myocardial ischemia the phase angle phi of the complex electric impedance of myocardial tissue at 5 kHz AC exhibits a characteristic behaviour, the progress of which depends on the cardioplegic method applied. By extending the frequency range to 200 Hz and 10 MHz and by analyzing in addition to phase and magnitude also real and imaginary part of the impedance it was possible to elucidate which ischemic changes in the myocardium are responsible for the course of phi (5 kHz). This method we call impedance spectroscopy. Canine hearts were cardioplegically perfused with either the standard solution HTK[4] or the solution HTK[4] + 50 mumol/l Ca++. During the following ischemia at 25 degrees C energy-rich phosphate level, the ultrastructure, the real part, imaginary part and phase angle of the impedance between 200 Hz and 10 MHz were analyzed. RESULTS: phi (5 kHz) displays very similar characteristics during the ischemic period to those of the real part of the impedance at 200 Hz, Re (200 Hz). Re (200 Hz) increases, when--according to electron microscopic findings--an intracellular myocardial edema begins to develop. The changes of Re(200 Hz) are always smaller, however, than those of phi (5 kHz). This indicates that phi (5 kHz) increases in the course of ischemia not only as a consequence of confinement of the extracellular space by myocardial cellular edema but also because of changes of passive electrical characteristics of the myocardial cell membranes.(ABSTRACT TRUNCATED AT 250 WORDS)
Preischaemic doubling of the myocardial buffer capacity optimizes the energy supply of the ischaemic heart by anaerobic glycolysis. For osmotic reasons this method of improving ischaemia tolerance can only be realized in combination with cardioplegia by extracellular Na+ and Ca2+ reduction. The cardioplegic solution 'HTK' which has been developed according to these considerations. (1) delays the decay velocity of myocardial ATP by a factor of 7-8 in comparison with pure ischaemia; (2) leads to a good myocardial recovery with regard to metabolic, morphological, and functional criteria after an ischaemic stress of 300 min at 23 +/- 1 degrees C--especially after the addition of quinine; (3) is considerably reduced in its protective efficacy by adding 50 mumol l-1 Ca2+; (4) causes a calcium paradox if it is infused for 30 min at 35 degrees C; this does not happen if it is infused for 60 min at 25 degrees C or for 120 min at 15 degrees C; on adding 50 mumol l-1 Ca2+ to the solution the risk of a calcium paradox is significantly reduced, even after infusion for 35 min at 35 degrees C; (5) effects an evident delay of recovery, if a continuous ischaemic stress of 300 min at 23 degrees +/- 1 degree C is reduced to 3 X 100 min of ischaemia at 17 +/- 1 degrees C by intermittent cardioplegic reperfusion; (6) considerably improves the myocardial recovery even after intermittent cardioplegia if 50 mumol l-1 Ca2+ are added or Mg2+ is reduced from 9 to 4 mmol l-12. The metabolic, morphological, and functional results are equivalent to those after 300 min of continuous ischaemia. Further investigations must show to what extent the 'membrane stabilizing effect' of [Ca2+]o can be achieved by taking advantage of mutual ionic interaction on the level of plasmalemma (e.g. H+-Mg2+-Ca2+) or by adding membrane effective substances (quinine).
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An apparatus for measuring the impedance of intact biological organs or parts of organs in the frequency range of 10 Hz to 10 MHz is described. In this range impedance exhibits a large dispersion, which is dependent on tissue structures. The time course of alterations of electrical impedance such as occur during ischemia can be recorded with this equipment. Five specimens in five measuring chambers can be examined simultaneously at different temperatures. In the second part of the article, a portable impedance meter for measuring the modulus of impedance near 200 Hz, the phase of impedance at 5 kHz and the local temperature at the measuring point, is described. These parameters permit an intra-operative evaluation of the changing state of ischemic organs. Sterilizable probes with four surface electrodes and an integrated temperature sensor permit atraumatic measurements at the organ surface. The measurement itself is harmless to the tissue.