Integrative Physiology |
From the Discipline of Medicine, University of Tasmania, Hobart, Australia.
Correspondence to D. Kilpatrick, The Discipline of Medicine, University of Tasmania, 43 Collins St, Hobart, 7000, Australia. E-mail d.kilpatrick{at}utas.edu.au
| Abstract |
|---|
|
|
|---|
Key Words: electrocardiography epicardial potential acute infarction bidomain model ST depression
| Introduction |
|---|
|
|
|---|
| Materials and Methods |
|---|
|
|
|---|
Potential Recording, Construction of Isopotential
Maps, and Map Display
Epicardial potentials were recorded using an
epicardial sock containing 64 electrodes
(Cardiovascular Research and Training Institute, the
University of Utah). Endocardial electrograms were recorded using a
homemade 40-electrode basket mapping
apparatus.9
Computer Modeling
Bidomain Model
The myocardium was represented by
the bidomain model, in which intracellular and extracellular volumes
occupy the same space and were separated everywhere by the
membrane.
Hollow Thick-Walled Sphere
Consider two concentric spheres as a model of the left
ventricle and its surrounding myocardium (Figure 1
).
The inner sphere, of radius rb, contains the
blood mass and the region between the inner sphere, and the outer
sphere, of radius ra, represents the
cardiac muscle. In terms of a spherical coordinate system
(r,
,
), the blood mass is the region
0<r<rb and the
myocardium is the region
rb<r<ra.
|
We generated a region of transmural ischemia, which is
axially symmetric about the azimuthal axis of the spherical coordinate
system, so that the potentials have no
dependence. Further assume
that the region of ischemia covers the region
0<
<
a in the myocardium. This set of
ischemic regions has been solved analytically, as shown in the
online Materials and Methods (see http://www.circresaha.org).
Isolated Heart Model
The bidomain equations were also solved in a realistically
shaped isolated heart.9 Transmural ischemia was
simulated using the above model on both small and large regions of the
myocardium.
An expanded Materials and Methods section is available online at http://www.circresaha.org.
| Results |
|---|
|
|
|---|
|
Regional Myocardial Blood Flow and Hemodynamic
Response
Selected hemodynamic results and changes in
the myocardial blood flow after 20 minutes of ligation of the different
vessels are presented in Table 2
and Figure 2
, which show significantly
different flow and hemodynamic changes with varied
infarctions. Both the LCX and the LAD ligation caused a marked decrease
in the flow to the infarcted regions (from 1.02±0.10 to 0.19±0.07
mL · min-1 · g-1 in the LCX
ligation, from 0.99±0.20 to 0.16±0.09 mL ·
min-1 · g-1 in the LAD ligation, both
P<0.001). In the noninfarcted regions, there was also a
considerable decrease in RMBF (from 1.03±0.13 to 0.73±0.20 mL
· min-1 · g-1 in LCX ligation, from
0.89±0.21 to 0.64±0.22 mL · min-1 ·
g-1 in LAD ligation, both P<0.05). The LCX and
LAD ligations were accompanied by an increase in the left
ventricular end-diastolic pressure (from 3±1
to 8±3 mm Hg in LCX ligation, from 1±4 to 6±7 mm Hg in
LAD ligation, both P<0.05) and a decrease in the left
ventricular systolic pressure (from 81±12 to
72±20 mm Hg in LCX ligation, from 92±11 to 69±13 mm Hg
in LAD ligation, both P<0.05; Table 2
). However, in the OM ligation, the flow
to the noninfarcted region increased nonsignificantly (from 1.09±0.19
to 1.12±0.15 mL · min-1 · g-1,
P>0.05), although flow to the infarcted regions decreased
by 62% (from 1.00±0.18 to 0.38±0.14 mL ·
min-1 · g-1, P<0.001).
Diastolic pressure and the left ventricular
systolic pressure were unchanged during the OM ligation (Table 2
).
|
|
The transmural flow distributions at 20 minutes of
ischemia for the OM, the LCX, and the LAD ligations are
presented in Table 3
. During
infarction, there were similar changes in the RMBF to each third of the
myocardium in both the infarcted and noninfarcted regions;
the endocardial/epicardial flow ratio remained unchanged. Figure 2
displays the spatial flow distributions of the left ventricles in
different artery occlusions. It was plotted with the data of 3 animals
from groups 1, 2, and 3, respectively. In OM occlusion, the flow
reduction occurred only in the infarcted region (Figure 2A
). In either
the LCX or the LAD occlusion, however, flow to the noninfarcted region
also reduced considerably (Figure 2B
and 2C
). In all 3 occlusions, flow
reduction to each third of the ventricular wall was
similar.
|
Linear correlation was used to determine whether a statistically
significant relation existed between the RMBF change during
ischemia in the noninfarcted regions and the
simultaneous measurements of the left
ventricular end-diastolic pressure, the left
ventricular systolic pressure, and the mean left
atrial pressure. The RMBF change during ischemia in the
noninfarcted regions inversely correlated to the left
ventricular end-diastolic pressure
(r=-0.82, P=0.0002) and the mean left atrial
pressure (r=-0.79, P=0.0001) and directly
correlated to the left ventricular systolic
pressure (r=0.82, P=0.0001; Figure 3
). During acute myocardial infarction,
the RMBF changes in the noninfarcted regions were related to both the
perfusion pressure and cardiac function.
|
Epicardial Potential Distribution in Different Sizes of
Infarction
Representative maps of epicardial ST
potential distribution from 3 typical experiments are displayed in
Figure 4
and show significantly different
ST alterations with each different infarcted region. Total occlusion of
the OM produced a graduated but even peak of ST elevation in the
ischemic center, with the magnitude decreasing toward the
border. The ST segment was depressed slightly at the surrounding
regions (Figure 4
). The highest potential occurred between 5 and 10
minutes after the OM ligation.
|
Total ligation of either the LAD or the LCX produced a powerful
dipole between ST elevation over the infarcted region and ST depression
over the noninfarcted region. The region of ST elevation is markedly
asymmetric, with the highest amplitude at the boundary, a pattern of ST
elevation quite different from that of the total occlusion of the OM
(Figure 4
).
Endocardial Potential Mapping in Large Infarction Compared
With Epicardial Potential Mapping
From the endocardium, we recorded both ST elevation and
ST depression during the ligation of either the LCX or the LAD. The
results are shown in Figures 5
and 6
which display the
simultaneous epicardial and endocardial ST potential
recordings. The distribution patterns of ST changes in the
endocardium are similar to those in the epicardium, except that
potentials were lower in the endocardium. The changes in the amplitude
of the ST potentials with time were also similar in the epicardium and
the endocardium, ie, potential changes occurred within 30 seconds after
the occlusion, reached their maximum within 5 to 10 minutes, and then
decreased from 15 minutes onward.
|
|
Concentric Spheres Model
The bidomain model produced a set of curves around the
circumference of the spheres that were symmetrical around the vertical
axis for 8 different infarct sizes ranging from 0.2 radians, 6.36% of
the total surface area, to 1.6 radians, or 50.1% of the surface area.
The results are shown in Figure 7
. There
was a clear increase in the ratio of negative to positive potentials as
the size increased. We evaluated the physical dimensions against this
shift looking at ischemic region on the sphere, volume of
ischemia, surface area of ischemia, and the integral of
current density under positive and negative regions. There was a
one-to-one correspondence between the integral of current density under
positive and negative curves for all infarct sizes but no relationship
for the other parameters. This implies that the set of
curves is produced within the constraints of the bidomain model, which
requires, as the heart does, that the overall current lost from the
heart is zero.
|
Realistic Model
The model in Figure 8
shows
that the patterns are very similar to those measured in the sheep. We
chose to analyze multiple infarcts using the spheres for
simplicity because the real heart model has the right ventricle over
the septum, which interferes with the epicardial field, thus making
comparisons more difficult.
|
| Discussion |
|---|
|
|
|---|
To explain our findings, we looked first to see if the normal (nonischemic) region was truly not ischemic. There was some suggestion of ischemia in the normal regions because of the reduced flow from microsphere measurement, but there was no ST elevation on the normal endocardium, which would be expected if there was concomitant ischemia. The overall reduction of flow was also small and unlikely to produce ischemia in its own right. That the flow was reduced was surprising and probably due to a decreased pressure gradient across the coronary bed. This observation needs further investigation in terms of possible therapeutic gains from maneuvers to increase blood flow in the nonischemic regions.
The significance of this remained unclear until the concentric
spheres model was analyzed. This enabled a series of
incremental infarcts to be studied, as shown in Figure 7
. The results
suggest that some basic balance between size of ischemia and ST
elevation to ST depression ratio existed. An examination of physical
factors has shown that the reason for this lies with basic physics.
The total current flowing out of the heart must flow back into the heart, and this paradigm was shown to be true in that the integral of current density over the ischemic region matches that over the normal region. This basic property of physics dictates that the overall current out of the heart must be zero; hence, all ST balances between elevation and depression are subject to this. The ST depression is part of the source, and the balance between elevation and depression is dependent on the zero line set by the requirement that the overall current from the heart is zero. In human practice, this requirement is modified by the use of the Wilson central terminal19 to set the reference potential.
Thus, any large infarct will have both ST elevation and ST depression generated at the ischemic boundary on the epicardium and the larger the infarct, the greater the ST depression. It must be pointed out, however, that these results apply only to the epicardial potentials not the body surface potentials. Although the body surface potentials are generated by the cardiac currents, they are sufficiently modified by the shape and conductivity of the organs within the thorax to make direct comparisons difficult.
There is support for this view from one of the few inverse transform studies carried out in humans with acute infarction.20 In this study, the epicardial potential distributions were derived from more than 200 patients with acute infarction. The results showed that a strong dipole on the epicardial surface predicted mortality for all patients including those with single vessel disease. At the time, no clear explanation for these results was advanced. Given the study presented here, it is clear that the dipole reflected the overall size of the infarction. Further support comes from a recent modeling study,21 which concluded that the source with full-thickness ischemia had both negative and positive ST components and which replicated the 12-lead appearance of angioplasty-induced ischemia.
The present study has provided an explanation for ST depression on the epicardium in patients with acute infarction. It also suggests that measurement of the negativity of the dipole on the epicardium should relate well to infarction size. Clearly, it is possible to have additional ischemia, but this will also be constrained by the need to have the overall current from the heart be zero. Thus, the presence of additional ischemia will probably increase the ST elevation as well as increasing the region of ST depression. However, it is not necessary to have ischemia other than the infarction to produce marked ST depression. It is important to remember that in electrocardiology the net current leaving the heart must always be zero.
| Acknowledgments |
|---|
Received May 25, 1999; accepted August 30, 1999.
| References |
|---|
|
|
|---|
2. Ferguson DW, Pandian N, Kioschos JM, Marcus ML, White CW. Angiographic evidence that reciprocal ST-segment depression during acute myocardial infarction does not indicate remote ischemia: analysis of 23 patients. Am J Cardiol. 1984;53:5562.[Medline] [Order article via Infotrieve]
3. Roubin GS, Shen WF, Nicholson M, Dunn RF, Kelly DT, Harris PJ. Anterolateral ST segment depression in acute inferior myocardial infarction: angiographic and clinical implications. Am Heart J. 1984;107:11771182.[Medline] [Order article via Infotrieve]
4. Mirvis DM. Physiologic bases for anterior ST segment depression in patients with acute inferior wall myocardial infarction. Am Heart J. 1988;116:13081322.[Medline] [Order article via Infotrieve]
5. Bates ER, Clemmensen PM, Califf RM, Gorman LE, Aronson LG, George BS, Kereiakes DJ, Topol EJ. Precordial ST segment depression predicts a worse prognosis in inferior infarction despite reperfusion therapy. J Am Coll Cardiol. 1990;16:15381544.[Abstract]
6. Krone RJ, Greenberg H, Dwyer EM Jr, Kleiger RE, Boden WE. Long-term prognostic significance of ST segment depression during acute myocardial infarction. The Multicenter Diltiazem Postinfarction Trial Research Group. J Am Coll Cardiol. 1993;22:361367.[Abstract]
7. Wong CK, Freedman SB, Bautovich G, Bailey BP, Bernstein L, Kelly DT. Mechanism and significance of precordial ST depression during inferior wall acute myocardial infarction associated with severe narrowing of the dominant right coronary artery. Am J Cardiol. 1993;71:10251030.[Medline] [Order article via Infotrieve]
8. Edmunds JJ, Gibbons RJ, Bresnahan JF, Clements IP. Significance of anterior ST depression in inferior wall acute myocardial infarction. Am J Cardiol. 1994;73:143148.[Medline] [Order article via Infotrieve]
9.
Li DS, Li CY, Yong AC, Kilpatrick D. The source
of electrocardiographic ST changes in subendocardial ischemia.
Circ Res. 1998;82:957970.
10.
Samson WE, Scher AM. Mechanism of S-T segment
alteration during acute myocardial injury. Circ Res. 1960;8:780787.
11. Ekmekci A, Toyoshima H, Kwoczynski JK, Nagaya T, Prinzmetal M. Angina pectoris, IV: clinical and experimental difference between ischemia with ST elevation and ischemia with ST depression. Am J Cardiol. 1961;7:412426.[Medline] [Order article via Infotrieve]
12.
Holland RP, Brooks H. Precordial and
epicardial surface potentials during myocardial ischemia in the
pig. A theoretical and experimental analysis of the TQ and ST
segments. Circ Res. 1975;37:471480.
13.
Vincent MG, Abildskov JA, Burgess MJ. Mechanisms
of ischemic ST-segment displacement: evaluation by direct
current recordings. Circulation. 1977;56:559566.
14.
Kleber AG, Janse MJ, van Capelle FJC, Durrer D.
Mechanism and time course of S-T and T-Q segment changes during acute
regional myocardial ischemia in the pig heart determined by
extracellular and intracellular recordings. Circ
Res. 1978;42:603613.
15.
Richeson JF, Akiyama T, Shenk E. A solid angle
analysis of the epicardial ischemic TQ-ST deflection in
the pig: a theoretical and experimental study. Circ Res. 1978;43:879888.
16.
Smith GT, Geary G, Ruf W, Roelofs TH, McNamara
JJ. Epicardial mapping and electrocardiographic models of myocardial
ischemic injury. Circulation. 1979;60:930938.
17. Tung L. "A bidomain model for describing ischemic myocardial DC potentials," in PhD thesis, MIT, 1978.
18. Li D, Yong AC, Kilpatrick D. Validation of a subendocardial ischaemic sheep model by intracoronary fluorescent microspheres. Clin Exp Pharmacol Physiol. 1996;23:111118.[Medline] [Order article via Infotrieve]
19. Wilson F, Johnston F, MacLeod A, Barker P. Electrocardiograms that represent the potential variation of a single electrode. Am Heart J. 1934;9:447458.
20. Kilpatrick D, Bell AJ, Walker SJ. Derived epicardial potentials differentiate ischemic ST depression from ST depression secondary to ST elevation in acute inferior myocardial infarction in man. J Am Coll Cardiol. 1989;14:695702.[Abstract]
21. Dube B, Gulrajani RM, Lorange M, Leblanc A-R, Nasmith J, Nadeau RA. A computer model incorporating anisotropic propogation, IV: simulation of regional myocardial ischemia. J Electrocardiol. 1996;29:91103.[Medline] [Order article via Infotrieve]
This article has been cited by other articles:
![]() |
M. de Chantal, J. G. Diodati, J. B. Nasmith, R. Amyot, A. R. LeBlanc, E. Schampaert, and C. Pharand Progressive epicardial coronary blood flow reduction fails to produce ST-segment depression at normal heart rates Am J Physiol Heart Circ Physiol, December 1, 2006; 291(6): H2889 - H2896. [Abstract] [Full Text] [PDF] |
||||
![]() |
C. Schmitt, G. Lehmann, S. Schmieder, M. Karch, F.-J. Neumann, and A. Schomig Diagnosis of Acute Myocardial Infarction in Angiographically Documented Occluded Infarct Vessel : Limitations of ST-Segment Elevation in Standard and Extended ECG Leads Chest, November 1, 2001; 120(5): 1540 - 1546. [Abstract] [Full Text] [PDF] |
||||
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
Circulation Research Home | Subscriptions | Archives | Feedback | Authors | Help | AHA Journals Home | Search Copyright © 1999 American Heart Association, Inc. All rights reserved. Unauthorized use prohibited. |