Ann Thorac Surg 1995;59:1594-1603
© 1995 The Society of Thoracic Surgeons
Current Review
Pressure-Induced Arterial Wall Stress and Atherosclerosis
Mano J. Thubrikar, PhD,
Francis Robicsek, MD
Heineman Medical Research Laboratory, Carolinas Medical Center, Charlotte, North Carolina
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Abstract
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We present the hypothesis that high wall stress and accompanying stretch, particularly that caused by arterial pressure, are the primary factors responsible for the topography of atherosclerotic lesions. In our view the pattern in the localization of atherosclerotic lesions indicates that the artery behaves as both a pressure vessel and a conduit of blood flow. The phenomenon of ``stress concentration'' in the artery wall is described and the area of pressure-induced high stress is related to the sites of atherosclerotic plaques. Data are presented indicating that reduction of pressure-induced stress may lead to absence of atherosclerotic changes. The proposed mechanism explains the prevalence of atherosclerotic lesions at the ostia of major arterial branches, at the aortic bifurcation, at the carotid bifurcation, and in the descending thoracic aorta, and also explains the absence of atherosclerosis in the intramyocardial coronary arteries and in the intraosseal portions of the vertebral vessels and why a reduction in heart rate, blood pressure, or wall stress by external support reduces the occurrence of atherosclerosis. The effect of wall stress and stretch on atherosclerosis could be mediated by the endothelial cells, the smooth muscle cells, and the penetration of low-density lipoproteins. The comprehensive presentation made in this article could lead to a better understanding of atherosclerosis, its treatment, and its prevention.
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Introduction
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Atherosclerosis is a multifactorial disease in which conditions such as high cholesterol level, high blood pressure and diabetes are recognized to exacerbate the disease. Certain mechanical factors such as pressure-induced wall stress and blood flow disturbances also are considered important in the disease process because the disease has a predilection for the sites of arterial branching and bifurcations.
The purpose of this article is to present the hypothesis that arterial wall stress and accompanying stretch, produced by intraluminal pressure, are major contributing factors to the localization of atherosclerotic lesions and to show that this proposed mechanism may explain many observations concerning atherosclerosis.
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Anatomic Patterns of Atherosclerosis
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Atherosclerosis commonly affects the artery only at certain well-defined locations rather than through its entire course. In the human, atherosclerotic lesions usually predominate at the origins of tributaries, bifurcations, and curvatures [1, 2] (Fig 1
). Some authors [39] have thought this focal nature of the disease could be explained by local disturbances in blood flow. Both the high [35] and low shear [68] areas have been considered as primary sites of atheroma formation. Contrary to these views, it is our contention that shear due to blood flow is probably not the major factor influencing atherosclerosis, but that blood pressureinduced arterial wall stress is the principal factor in the localization of the disease.

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Fig 1. . Distribution of atherosclerotic occlusive disease in humans. (Reproduced from the Annals of Surgery 1985;201:116 with permission from the J. P. Lippincott Company, Philadelphia, PA, and Dr Michael E. DeBakey.)
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In this regard, one may note that atherosclerotic lesions do not develop in veins in their normal environment of low pressure and high flow, but that they do indeed when the veins are used as arterial bypass grafts where they are subjected to high pressure. Similarly, atherosclerotic lesions develop in the pulmonary arteries only in pulmonary hypertension. This is not surprising because high blood pressure in general is a well-recognized risk factor in coronary heart disease, a phenomenon that fits well in the ``arterial wall stress hypothesis,'' where the stress is produced by blood pressure and not by blood flow.
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Atherosclerosis and Arterial Function
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To serve as a simple conduit to blood flow is only one of the basic functions of the artery. The other basic function is to sustain blood pressure. The artery is therefore both a conduit of blood flow and a container of pressure (pressure vessel). Although the first function has been studied in great detail, the artery as a pressure vessel scarcely has been the subject of investigation. In this study we attempt to show that a key to understanding atherosclerosis is to consider the artery as a pressure vessel, and as such consider two phenomena relevant to atherosclerosis that occur in a pressure vessel: (1) stress concentration at branches and (2) wall fatigue due to pulsatile blood pressure.
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Stress Concentration at the Arterial Branch Origins
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Generally speaking, the stress in the arterial wall produced by luminal pressure may be calculated by the law of Laplace. Accurate determination of stress, however, is complex because the arterial tissue is inhomogeneous and nonlinear, and the artery undergoes significant luminal enlargement when the pressure is applied.
Figure 2a
shows a rectangular piece of arterial tissue with a central circular hole under tension. In this situation the stress exerted upon the tissue is not uniform, but it is concentrated adjacent to the hole at points A and B, which for the same reason will have a predilection to tear.
An artery with a side branch (Fig 2b
) may be considered to be a similar model, which is acted upon by both a circumferential and a longitudinal stress produced by the arterial pressure. The stress is greatly increased at both the distal lip and the proximal lip of the branch ostium, which resemble points A and B in the previous example (see Fig 2a
). Hence, on the basis of the branch geometry alone the wall stress is increased considerably at the regions adjacent to the ostium. This phenomenon of ``stress concentration'' is well recognized in the field of high-pressure technology [10], and we have demonstrated its importance both in vitro and in vivo by our observations that the arterial wall stresses indeed are excessive at the branch ostia [11, 12]. In our experiments conducted in vitro on the bovine circumflex coronary arteries (Fig 2c
) and those conducted in vivo on the canine iliac artery bifurcation (Fig 2d
), we observed, using finite element stress analysis, that wall stresses are 4 to 6 times higher at the branch orifices at both the proximal and the distal lip of the ostium than in other regions [11, 12]. Also, the stress on the inner surface of the artery is the highest, and it decreases through the thickness of the arterial wall because the pressure acts on the inside [1113]. This high stress on the inner surface correlates with the occurrence of atherosclerotic lesions in the intima.
One of the most important consequences of stress concentration at the branch origins is that it produces a greater stretch at that location. In our experiments we both measured and analytically calculated the stretch in the branch area (Fig 3
). The increase in intravascular pressure from 80 to 120 mm Hg led to an increment in the stretch of 5% to 7% in the branch region and of only 2% to 3% in other regions [11]. Thus, with each arriving pulse of pressure (120/80 mm Hg) the branch region experiences double the amount of stretch compared with nonbranch regions. This increased stretch in the branch area could influence atherosclerosis through processes such as enhanced low-density lipoprotein penetration or enhanced proliferation of smooth muscle cells.

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Fig 3. . Distribution of strain around the ostium of a bovine circumflex coronary arterial branch. Experimentally measured strains near both the distal and the proximal lips of the ostium are as high as 5% to 7%, whereas those away from the ostium are 2% to 3%. The analytic strains were obtained from finite element analysis. The strains are for the pressure increase from 80 to 120 mm Hg.
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Ostial Lesions
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Atherosclerotic lesions commonly occur at the ostia of the branches in the aortic arch and at the ostia of celiac, superior mesenteric, right renal, and left renal arteries in the abdominal aorta, especially at the proximal and the distal lips of each ostia (see Fig 1
). This phenomenon correlates well with the areas of high wall stress and high stretch at the branch (see Figs 2, 3
). Because blood flow induces low shear at the proximal lip and high shear at the distal lip of the ostia, whereas blood pressure induces high wall stress and high wall stretch at both of these locations, it appears logical that pressure-induced wall stress and not flow-induced shear stress correlates with the locations of atherosclerotic lesions.
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Aortic Bifurcation Lesions
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Atherosclerotic lesions in the aortic bifurcation occur at both the ``crotch'' and the ``hip'' of the aortic bifurcation (Figs 1, 4
). As shown on the bifurcation geometry (see Fig 4
) the wall stress is very high at the crotch on the basis of the analysis presented earlier in Figure 2
. Wall stress at the crotch is increased in a manner similar to that at the distal lip of the ostium where the branch angle is small.


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Fig 4. . (A) Photograph of a human aortic bifurcation showing atherosclerotic lesions at the crotch of the bifurcation. (Reproduced from Texon M, Hemodynamic basis of atherosclerosis. Washington, DC: Hemisphere Publishing Corporation/Taylor & Francis Inc, 1980, Platen 10A, with permission. All rights reserved.) (B) Schematic presentation showing various geometric parameters that may lead to uneven distribution of stress at the bifurcation. The stresses are high at both the crotch and the hip of the bifurcation.
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To analyze wall stress occurring at the hip of the bifurcation one must consider three parameters: (1) elliptical cross section, (2) wall thickness, and (3) surface curvatures (see Fig 4
). Although the cross-section of the main aorta and the two iliac arteries is circular, at the bifurcation the cross-section becomes larger [14] and elliptical. Because the major axis of the ellipse is larger, for the elliptical cross-section (Fig 5
[Top]) the stress in the wall is much higher along the major axis of the ellipse compared with that in the main aorta. In larger aortas, which have larger wall tension, the wall is usually thicker. Thus, thickness of the aorta increases with its diameter and the diameter to thickness ratio remains constant; consequently, the wall stress remains constant. In the case of the bifurcation, however, this type of adaption may not occur fully and the thickness is reduced comparatively. As shown in Figure 4
, the thickness gradually decreases from the main aorta to the iliac artery, and at the hip of the bifurcation the diameter to thickness ratio is the highest, leading to further increase in the wall stress.

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Fig 5. . (Top) Circumferential stress in the wall of the artery and its relationship to pressure (P), radius (R), and thickness (t) of the artery. At the hips of the aortic bifurcation the stress is greater than that in the main artery because the length (2a) of the major axis of the ellipse at the bifurcation is greater than the diameter (2R) of the main vessel. (Bottom) The elliptical cross-section at the bifurcation has a tendency to become circular under pressure. Strip AB tends to bend back to become A`B`, which produces a maximum bending stress at points M and N.
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There is another phenomenon worth mentioning that is associated with the elliptical cross-section of the bifurcation. In an elastic artery the pulse wave tends to change the shape of the cross-section from elliptical to circular (Fig 5
[Bottom]), which is the lesser energy configuration for the artery wall. This shape change produces additional bending stresses in the wall at the ``hip'' of the aortic bifurcation. These bending stresses add to the tensile stresses on the inner surface of the artery.
The last stress-enhancing factor we must consider is the arterial curvature [14]. What we usually see is that arteriosclerotic plaques often develop on the inner curve of the aortic arch and the inner curve of the tortuous segments of any arteries [15] (Fig 6A
). The outer curve is a surface similar to that of a sphere with centers of the two principal radii of curvatures on the same side of the surface (Fig 6B
). Such surfaces are called synclastic [16]. The inner surface, on the other hand, has the centers of the two principal radii of curvatures on the opposite sides of the surface. This horse-saddle type of a surface is called anticlastic. It has been well established by Burton [16] and other texts of reference [17] that due to its geometry the pressure-induced wall stress is much higher on the inner than on the outer curve. This correlates with the observations that atherosclerotic lesions usually favor the inner curve.
At the hip and the crotch of the aortic bifurcation, therefore, the wall stress is increased considerably because of the elliptical cross-section, reduced wall thickness, and opposite curvatures of the wall (anticlastic surface). This correlates well with the occurrence of atherosclerotic lesions at those locations.
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Carotid Bifurcation Lesions
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Studying the pathologic anatomy of carotid bifurcation lesions we found that most frequently the less advanced lesions occurred in the sinus bulb area whereas the more advanced atheromas involved the crotch as well as the entire bifurcation [18] (Fig 7A
). These observations agree with those reported in the literature (see Fig 1
) [19, 20] and may be explained readily by the distribution of wall stress.


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Fig 7. . (A) (Top) Atherosclerotic plaque removed from a human carotic artery bifurcation. (Bottom) Locations of atherosclerotic disease at the carotid bifurcation. 56% indicates the relative frequency of occlusive lesions in the brachiocephalic vascular system. Most often, the occlusive lesions occur involving the entire carotid bifurcation as shown at the top. (B) (Left) Schematic presentation of the carotid bifurcation indicating that the stresses are high at the crotch and in the sinus bulb region. Also, the parameters that result in the high stresses are shown. (Right) Maximum principal isostress contours at the human carotid artery bifurcation. The stresses are high at all three locations B, A, and C, being the highest at B. The stress contours were obtained from the finite element analysis for a pressure (pulse) loading of 40 mm Hg.
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Figure 7B
shows the geometric parameters that are responsible for producing uneven distribution of the wall stress just as was the case in the aortic bifurcation. The elliptical cross-section at the bifurcation produces high stresses in the ``hip'' region (areas A and C in Figure 7B
) as explained earlier. The thickness variation is another important parameter in the present case. The carotid sinus bulb happens to be unusually thin, even thinner than the wall opposite to it. This thin area of the sinus bulb is also the region that has baroreceptors. Obviously, this enhances its sensitivity to pressure because it could stretch more in response to pressure. This reduced wall thickness causes a significant increase in wall stress in the sinus bulb.
We performed stress analysis on human carotid artery bifurcation using the method of ``finite element analysis'' [18]. The results of this analysis are shown in Figure 7B
. We found that the highest stress occurs at the crotch of bifurcation, then in a decreasing order at the sinus bulb over a substantially large area, and finally at the wall opposite the sinus bulb. Thus, the early lesions in the sinus bulb area as well as the advanced lesions involving the crotch and the entire bifurcation correlate well with the areas of high wall stress.
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Absence of Lesions in Intramyocardial Coronary Arteries and the Intraosseal Portion of the Vertebral Arteries
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We have studied in more than 200 patients the occurrence of atherosclerotic lesions in coronary arteries in the course of coronary bypass operations [21]. In about 10% of the patients a major branch of the coronary artery was found to have an intramyocardial course. These branches arise from the circumflex coronary artery just after the origin of the left anterior descending artery. In the great majority of patients we found the intramyocardial branches to be completely free of atherosclerosis, despite the fact that the rest of the coronary arterial tree had severe diffuse atherosclerotic lesions [21]. Atherosclerotic changes involving the epicardial portion of the coronary artery abruptly stopped at the point where the artery entered the myocardium (Fig 8
). Similar observations were made by other investigators [22].


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Fig 8. . (A) Photograph taken intraoperatively showing the atherosclerotic lesion in the coronary artery in humans. The incision in the myocardium exposes the place of entry of the coronary artery into the myocardium. Severely occlusive atherosclerotic plaque has developed in the epicardial segment, but the artery is completely normal in the intramyocardial segment. The atherosclerotic lesion abruptly stops at the entry of the artery into the myocardium. (B) Typical recordings of the left ventricular chamber pressure and the intramyocardial pressure in subepicardial, midwall, and subendocardial regions in canine hearts.
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To understand the absence of atherosclerosis in these arteries, one again must consider the hypothesis of pressure-induced wall stress. We measured pressures within the myocardium at various depths and found substantial pressures during systole and small but finite pressures during diastole (see Fig 8
). With respect to the left ventricular cavity pressure the subendocardial pressure was 104%, midwall pressure was 83%, and subepicardial pressure was 70% in systole. This meant that the intramyocardial portion of the coronary artery had much lower pressure gradients across its wall in systole than the epicardial portion [21]. This reduced gradient leads to lower wall stress. Thus, once again the absence of atherosclerotic lesions correlates with the decrease of pressure-induced wall stress. Such a reduction does not occur in the epicardial segments, and thus these segments are not protected from atherosclerosis.
The intraosseal portion of the vertebral arteries are known to show an alternating pattern of atherosclerotic changes; the lesions occur in the segments that are free to expand, but are absent where the artery segment is passing through the bone canal and thus is not free to expand with the systolic pulse pressure (Fig 9
) [23]. The surrounding bone seems to act as support and prevents the increase of stress due to systolic stretch in that segment. This function is similar to the support given to the arteries surrounded by myocardium. The portions of the vertebral arteries that lie between the bony canals do not have this protection and therefore are susceptible to the development of high stress and high stretch.

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Fig 9. . (Right) Rhythmic distribution of atherosclerotic lesions in the vertebral artery. The star indicates the presence of lipids in the regions where the artery is between the two bone canals. The artery in the bone canal (white) is free of the disease. (Reproduced from Wolf S, Werthessen NT, eds. Dynamics of arterial flow. Advances in experimental medicine and biology, vol 115. New York: Plenum, 1976:378, with permission.) (Left) Schematic presentation of the course of the vertebral artery.
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In our studies performed in the rabbit model we observed similar inhibition of the development of atherosclerosis when the stress in the ostial region was reduced by external support [24]. The experiment consisted of placing a cast on the ostium of the left renal artery under reduced systemic pressure, allowing the rabbit to recover and be placed on a high cholesterol diet. The encased arterial segment remained free of atherosclerosis whereas atherosclerotic changes developed in corresponding areas. Similar observations were made on externally supported vein grafts in humans [25] and in animal models [26].
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Pattern of Atherosclerosis in the Descending Thoracic Aorta
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In the descending thoracic aorta also there is a well-defined pattern of atherosclerotic lesion development. Cornhill and associates [2] and others [27] have described that lesions in this segment occur in the form of two parallel streaks that run along the sides of the intercostal arteries (Fig 10
). Flow pattern does not explain this localization, but the wall stress hypothesis suggests that because the descending thoracic aorta is tethered to the spine by means of several pairs of intercostal arteries the wall stress may be responsible for this phenomenon. These pairs act as anchors for the aorta so that when the aorta bends during body movement it changes shape along the two parallel lines by the sides of the intercostal arteries as shown in Figure 10
. Thus, once again the parallel lines of mechanical deformation of the aorta correlate with the parallel streaks of atherosclerotic lesions.

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Fig 10. . (Left) Distribution of atherosclerotic lesions in the thoracic aorta in humans. The lesions are present along two parallel lines just on the outside of the pairs of intercostal arteries. (Reproduced from Liepsch DW, ed. Blood flow in large arteries: applications to atherogenesis and clinical medicine: topography of human aortic sudanophilic lesion. Basel: Karger, 1990;15:Platen I, with permission from Dr J. Fredrick Cornhill.) (Right) Thoracic aorta in the cross section where the intercostal arteries originate. Any lateral movement of the aorta will be achieved by deformation of the aorta in regions A and B, ie, deformation along the two parallel lines. These parallel lines correspond to those along which atherosclerotic lesions develop as shown on the left.
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Effect of Blood Pressure and Heart Rate on Atherosclerosis (Artery Fatigue due to Pulsatile Pressure)
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It is well recognized that elevated blood pressure, which causes high wall stress, enhances atherosclerosis. As was mentioned earlier, atherosclerosis does not develop in veins under venous pressure but it does when the veins are subjected to the arterial pressure. Similarly, atherosclerosis does not develop in pulmonary arteries under normal pressure, but it does in pulmonary hypertension. Lower extremities are more prone to atherosclerosis than upper extremities, and this also correlates with the pressure, because lower extremities have higher absolute pressure, due to the hydrostatic pressure head, than do the upper extremities [28].
It also has been reported that a decrease either of the mean blood pressure or of the pulse pressure reduces atherosclerotic lesions in rabbits [29, 30], sheep [31], and monkeys [32], and a decrease in the heart rate reduces atherosclerotic lesions in rabbits [33] and monkeys [34, 35] (Table 1
). In humans, a decrease in mean blood pressure [36] and a decrease in the heart rate [37, 38] is reported to reduce mortality and morbidity originating from atherosclerotic disease. To understand these observations, we must consider the concept of cumulative arterial injury caused by artery fatigue. As mentioned in the Atherosclerosis and Arterial Function section, fatigue is one of the phenomena that occur in all vessels under pressure, particularly when the pressure is pulsatile [10]. The phenomenon of fatigue failure is well understood in many nonbiological materials. It is said that ``In pressure vessels virtually all failures are a result of fatigue- fatigue in areas of high localized stress'' [10]. This type of fatigue damage has been considered by Born and Richardson [39] in relation to rupture of atherosclerotic plaques. We propose that this phenomenon occurs in the artery wall itself because the artery has both areas of high localized stress and pulsatile blood pressure.
The concept of cumulative arterial injury from fatigue may be explained as follows: Consider the arterial branch area under systemic pressure of 120/80 mm Hg (Fig 11
). It is logical to postulate that a certain degree of ``cumulative arterial injury'' occurs at a site of stress concentration after a certain number of cardiac cycles. In the event that the mean blood pressure increases while the pulse pressure remains unchanged (eg, 170/130 mm Hg), then the same degree of cumulative arterial injury occurs after a lesser number of cardiac cycles. Similarly, when the pulse pressure increases while the mean pressure remains unchanged (eg, 140/60 mm Hg), then a similar amount of cumulative arterial injury occurs after a lesser number of cardiac cycles. If one further assumes that cumulative arterial injury reflects atherosclerotic disease, then an increase in either the mean blood pressure or the pulse pressure will increase the injury and therefore increase atherosclerosis. If the heart rate is reduced with beta-blockers, then it takes a longer time to reach the total number of cardiac cycles required for a given degree of cumulative arterial injury. Conversely, in a given period the injury and consequently atherosclerosis is less when the heart rate is reduced. This mechanism of cumulative arterial injury due to artery fatigue is probably at work in vivo because (1) the artery has areas of stress concentration, (2) the artery has pulsatile blood pressure, and (3) this mechanism predicts that a reduction in the mean blood pressure, the pulse pressure, or the heart rate will reduce atherosclerosis, and these effects already have been observed (see Table 1
).

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Fig 11. . (Top) Distribution of stress contours in the arterial branch indicating that at both the distal lip (D) and the proximal lip (P) of the ostium the stresses are high and localized. Fatigue failure is expected to occur at either of these two locations mainly as a result of the pulsatile pressure experienced by the artery. (Bottom) Typical fatigue behavior of a nonbiological material. We propose that this also qualitatively represents the fatigue behavior of an artery. Point A indicates that for the systemic pressure of 120/80 mm Hg a certain number of cardiac cycles are required to produce fatigue damage in the artery. Point B indicates that for a greater amount of pulse pressure, but for the same mean pressure, the number of cardiac cycles required to produce fatigue damage is less. Point C indicates that for the same pulse pressure, but a higher mean blood pressure, the fatigue damage could occur at a lower number of cardiac cycles. In qualitative terms, increasing either the mean blood pressure or the pulse pressure would produce the fatigue damage in fewer cardiac cycles, ie, atherosclerotic disease will occur sooner. Similarly, for a given period, decreasing the heart rate decreases the fatigue damage, ie, decreases cumulative arterial injury and hence atherosclerosis.
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How Stress and Stretch Might Influence Atherosclerosis
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Endothelial injury, lipid accumulation, and smooth muscle cell proliferation are essential steps in atherosclerosis. There are several observations that link arterial wall stress and stretch to these processes. For example endothelial cell morphology was observed by us [40] and by others [41, 42] to be different in the branch regions compared with that in the nonbranch regions. Furthermore, we observed that when the wall stress in the branch was reduced by placement of an external cast, the endothelial cell morphology changed to resemble that seen in the nonbranch region [40]. Cell culture studies on endothelial cells have established that cells orient in response to cyclic stretch so that their long axis is perpendicular to the direction of stretch [43, 44]. The cells also proliferate at a higher rate [45] and show development of stress fibers [44] in response to stretch.
Low-density lipoprotein uptake in the artery also has been studied by us [46] and by others [47]. We observed that low-density lipoprotein accumulation in the artery is greater in the branch region than in the nonbranch region. We also found that treatment with beta-blockers, which reduce the heart rate, also decrease low-density lipoprotein accumulation in the artery, particularly in the branch region [48].
The effect of cyclic stretch on smooth muscle cell proliferation also has been studied. We have observed smooth muscle cell proliferation of several folds when the artery was deendothelialized and stretched by a balloon compared with when the artery was only deendothelialized but not stretched [49]. Similar observations have been reported by others [50]. Cell culture studies on smooth muscle cells also have established that the cell orientation [51] and other cell functions are influenced by the cyclic stretch [52].
These observations suggest a strong relationship between wall stress, wall stretch, cyclic stress, cyclic stretch, and many cellular processes that are a part of atherosclerosis.
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Summary
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It is postulated that high wall stress and accompanying stretch produced by the arterial pressure are primary factors contributing to the localization of atherosclerotic lesions. The areas where branches arise have high wall stress and high wall stretch, as well as cyclic variations of both in each cardiac cycle. The branch area and other areas of high wall stress thus are exposed to endothelial injury and increased low-density lipoprotein uptake. Increased cyclic stretch in these regions already provides a stimulus for increased smooth muscle cell proliferation. When the injury to these regions is enhanced by either high blood pressure, high plasma level of low-density lipoproteins, or other stimuli such as diabetes, atherosclerotic plaques may develop. This proposed mechanism explains the occurrence of lesions at the ostia of major arterial branches, at the aortic bifurcation, at the carotid bifurcation, and in the descending thoracic aorta, and also solves the enigma of absence of lesions in the intramyocardial coronary and in the intraosseal portions of the vertebral arteries. The mechanism also explains why the reduction of heart rate, blood pressure, or wall stress by external support reduces the arterial injury and reduces the development of atherosclerotic lesions.
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Acknowledgments
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Doctor Thubrikar would like to acknowledge the support and encouragement of Dr Stanton P. Nolan, Department of Surgery, University of Virginia, in this research.
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Footnotes
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Address reprint requests to Dr Thubrikar, Heineman Medical Research Laboratory, Carolinas Medical Center, 1000 Blythe Blvd, Charlotte, NC 28203.
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