Abstract
Under normal conditions, coronary blood flow (CBF) provides critical blood supply to the myocardium so that it can appropriately meet the metabolic demands of the body. Dogmatically, there exist several known regulators and modulators of CBF that include local metabolites and neurohormonal factors that can influence the function of the coronary circulation. In disease states such as diabetes and myocardial ischemia, these regulators are impaired or shifted such that CBF is reduced. Although functional considerations have been and continued to be well studied, more recent evidence builds upon established studies that collectively suggest that the relative roles of coronary structure, biomechanics, and the influence of cardiac biomechanics via extravascular compression may also play a significant role in dictating CBF. In this mini review, we discuss these regulators of CBF under normal and pathophysiological conditions and their potential influence on the control of CBF.
Keywords: coronary blood flow, function, structure, biomechanics, stiffness
INTRODUCTION
Coronary blood flow (CBF) provides the necessary nutrients to the cells of the heart for sustaining metabolic demand. Since the coronary vasculature transports blood to and from the heart muscle, any impairment that reduces CBF to the cardiac muscle can lead to serious pathological conditions such as heart failure. In this unique branch of the circulatory system, phasic blood flow is greatest during cardiac diastole and relies on a multitude of factors to regulate flow under normal conditions, including functional, structural, biomechanical, and extravascular influences; however, under pathological conditions, such as diabetes and myocardial ischemia, these factors go awry. The current state of coronary pathological investigations relies heavily on functional aspects segregated from other important facets, including the structure and biomechanics of the coronary circulation, comprised of both conduit vessels and the microcirculation, in part, because of the complexity in studying them in an integrated manner. Functional mediators of CBF and their interactions together have been the subject of multiple excellent recent reviews, including reviews from Muller-Delp et al. (1, 2) and Goodwill et al. (3).
The goal of this mini review is to assess the past and current state of nonfunctional regulators of CBF in disease as depicted in Fig. 1 (e.g., structural, biomechanical, and extravascular), simplistically using Poiseuille’s Law as a guide. Poiseuille’s Law describes laminar flow through a tube; therefore it can be used to estimate blood flow through a vessel:
where = flow, = change in pressure, = radius, = viscosity, and = vessel length. The largest contributor to flow is vessel radius, thus our focus will be related to that since very small changes in radius lead to large changes in blood flow. We will briefly review and explore these and other modulators of CBF in this work.
STRUCTURAL CONSIDERATIONS THAT INFLUENCE CORONARY BLOOD FLOW
The structure of the coronary vascular tree can be divided into conduit arteries that arise from the coronary ostia in the aorta, arterioles (resistance microvessels that are classically defined as having an internal diameter < 150 µm), capillaries, venules, and veins that collect in the coronary sinus and back to the heart (4). This parent-daughter branching pattern, such as other vascular beds, plays a role in the distribution of blood flow (4). Among structural alterations that occur in pathophysiological states are occlusive atherosclerosis and coronary microvascular remodeling. Atherosclerosis is a chronic, proinflammatory disease wherein lesions develop in large- and medium-sized arteries and can induce ischemia of organs, including the heart, brain, and extremities (5). In the heart, atherosclerotic lesions form at coronary branch points, bifurcations, curvatures, or other areas of oscillatory flow (6). Beyond plaque formation, vascular remodeling occurs at these sites mainly via extracellular matrix (ECM) changes that alter the integrity of the arterial wall, primarily from matrix metallopeptidase (MMP) activity (7, 8). Although atherosclerotic remodeling of the conduit arteries causes narrowing, a 50% stenosis, for example, has very little effect on CBF due to compensatory autoregulation of the microcirculation (9). CBF is not largely compromised until stenosis reaches ∼70% (10). In addition to severe stenosis of the coronary conduits, remodeling of the coronary microcirculation also has a potent impact on coronary flow. Our laboratory has previously reported that in both mouse and swine models of type 2 diabetes mellitus (T2DM) and metabolic syndrome (MetS), coronary resistance microvessels (CRMs) undergo inward hypertrophic remodeling associated with decreased lumen diameter, increased wall thickness, and decreased stiffness; however femoral stiffness was increased in db/db mice and the left anterior descending coronary artery (LAD) of MetS pigs had increased β stiffness index, indicated a dichotomous response to diabetes in the CRMs versus larger vessels (11, 12). Data from the Muller–Delp laboratory has demonstrated a similar remodeling phenomenon in CRMs from aging rats with increased wall/lumen ratio and decreased elastic modulus (13). In our studies, the adverse structural changes were accompanied by a decrease in CBF and coronary flow reserve (CFR), suggesting that microvascular structural remodeling may account for at least some of the deleterious ischemic events that occur in MetS and T2DM (11, 12, 14). Our laboratory has recently published that CRMs from aging mice undergo adverse remodeling in the same manner that CRMs from young, db/db mice experience (15). In fact, from these data, one could argue that diabetes imparts an accelerated aging process on the coronary microcirculation as the CRMs in db/db mice undergo adverse remodeling at an early age, similar to normal aged CRMs, that persists toward senescence. The data from our previous studies indicate that reduced coronary microvascular radius can negatively impact CBF (11, 12, 16).
Besides circumferential remodeling of the coronaries, another structural component that impacts CBF is the longitudinal branching in the coronary circulation via collateral growth. Coronary collateral growth is a compensatory mechanism that occurs during episodes of myocardial ischemia in an attempt to maintain flow to this depleted area through remodeling of small arterioles to larger arterioles and arteries (17, 18). There are multiple reviews specific to this area and its importance to CBF maintenance during myocardial ischemia (19–22).
BIOMECHANICS IN THE CORONARY CIRCULATION
When determining the role of biomechanics in CBF management, it is important to consider both the passive material properties and active mechanical forces of the coronary vasculature. Passive mechanics are the mechanical material properties of the tissue, derived from cellular and molecular structure and organization (23). An integral mechanical property of any blood vessel is the stiffness of its wall, often reported as elastic modulus. Conversely, vascular distensibility is inversely related to its stiffness (24, 25). Active mechanical components are any of the forces that act on the coronary vasculature, whether from blood flowing through the vessel or tissue surrounding the vessel contracting or relaxing. In terms of Poiseuille’s Law, both active and passive mechanics impact the ability of a vessel to alter its radius to control flow, due to passive tissue properties influencing how vessels are able to respond to alterations in active mechanical forces. Although much of the knowledge on coronary biomechanics focuses on the effects of altered forces on disease progression, it has become increasingly clearer that passive mechanics are also playing a large role in coronary flow regulation (11, 12, 26–29). Here, we will discuss what is currently known regarding coronary biomechanics and provide commentary on how mechanics are playing a role in maintenance of CBF.
Passive Mechanical Properties of the Coronary Vasculature
To examine the impacts of mechanical forces on flow through the coronary vasculature, it is important to first understand the mechanical properties inherent to the coronary circulation. Clinically, diagnostics such as MRI and ultrasound have been developed to measure vessel stiffness (24, 25, 30, 31). Alterations in arterial compliance in both large systemic arteries and large coronary conduit arteries have been linked with aging, hypertension, smoking, and coronary artery disease (CAD) (32–37). Importantly, increased conduit vessel stiffness in disease is often associated with decreased flow or endothelial dysfunction (28, 29). Similarly, increased stiffness in large arteries (carotid or aorta) leads to decreased flow within the coronary circulation (38–43); however, these concepts may not be universally applied as stiffness can also be compounded by alterations in coronary radius elicited by its own structure, function, and biomechanics, and as discussed earlier, radius provides the largest contribution to coronary flow according to Poiseuille’s Law. Data from our laboratory show that the diabetic coronary microvasculature has reduced radius (diameter) and reduced stiffness and the microcirculation has reduced flow (11, 12, 16). In the setting of diabetes, it may be that the reduction in diameter drives flow more than stiffness, which could be reduced in a compensatory effort to mitigate further reductions in CBF. Other aging data also implicates coronary biomechanics in influencing CBF. In two independent studies from the Muller–Delp and Trask laboratories, the passive diameters of CRMs between normal young and aged rodents were similar, but both studies reported a reduction in stiffness of the aged CRMs (13, 15). In the latter study, this was associated with a reduction in hyperemic CBF (15). Although one would theoretically predict that reduced CRM stiffness should improve CBF if diameters were similar, perhaps in the setting of aging, the reported impaired coronary dilator function, as reviewed elsewhere (1, 3), drives CBF more than alterations of radius/diameter and biomechanics. Nonetheless, although teasing apart these integrated factors is difficult, these observations point to a clear association between vessel stiffness and CBF through the vessel, and further studies in this important area are warranted. Finally, it is also important to note that material properties of the coronary vessels vary greatly depending on the type of vessel. Through post hoc analysis of data collected in our laboratory on both mouse and pig coronary vessels, larger conduit arteries (aorta and left anterior descending coronary) are inherently less stiff than the resistance microvessels (11, 12, 26). The reasons for this are currently unclear, but, collectively, these data may begin to give insight into how the mechanical properties of any blood vessel have an impact on CBF. It is intriguing to speculate that augmented microvascular stiffness as compared with macrovascular stiffness may result from differences in ECM, vascular smooth muscle cell (VSMC), and/or location of applied forces on the vessel (e.g., coronary epicardial conduit arteries are not subject to extravascular compression that occurs during the cardiac cycle). Perhaps in the coronary vascular tree, the microcirculation needs to be more stiff than upstream conduit arteries to have the mechanical integrity to withstand cardiac compression. These concepts will be discussed in the following sections.
Pulsatility and Waves (Origin and Reflections)
One of the most important drivers of coronary flow is derived from the active force the myocardium exerts on the coronary vasculature (44–46). This force, often referred to as extravascular compression, is the compression of embedded coronary vessels as the heart contracts (47–49). As the myocardium contracts during systole, vessels are compressed and flow is diminished. When the myocardium relaxes during diastole, the coronaries expand and flow through the vessel is restored, particularly in the left ventricle (47–49). Therefore, flow through the coronary vasculature is at a maximum during diastole and at a minimum during systole.
The collapsibility of coronary vessels (as a function of myocardial force) brings about the vascular waterfall (or Starling Resistor) analogy as a potential descriptor of CBF. In their studies of CBF during systole, Downey and Kirk (50) describe the mechanism in detail. In brief, the waterfall analogy refers to blood flowing beyond a partially collapsed portion of a vessel where flow is independent of inlet pressure, or the height of the “waterfall” where fluid beyond the fall flows freely. This proposed mechanism is of particular interest because it provides a potential explanation for how contraction of the myocardium and resultant compressive force limits blood flow (50). Although others provide evidence of the existence of a vascular waterfall in the coronary circulation (51–53), there continues to be debate on whether or not the proposed analogy fully describes the true oscillatory behavior coronary flow (46, 54, 55). Some argue that although it is clear the description of the vascular waterfall is useful in modeling CBF, certain aspects of flow through collapsible blood vessels (such as variable vessel resistance, geometry, and the inherent impact of the myocardium as a pump driving flow) are neglected in the analogy.
Waves in coronary blood flow arise from forces acting upon the coronary circulation, or the active component of coronary biomechanics. Reflections in these waves occur whenever there is a change in the vessel impedance (a measure of both the vessels compliance and cross-sectional area). Both the formation and impact of flow wave reflections in the coronary tree have been questioned, and there are very few studies on the topic as a result. Typically, the constant wall impedance and short length of coronary vessels has led many to believe that wave reflections are insignificant in the formation and driving of coronary flow (56, 57). However, recent studies (both computational and experimental) point to potential significant effects of wave reflections in coronary flow, where reflections may actually enhance early diastolic flow (56, 57).
As with many other biomechanical measurements, arterial wave reflections are often measured in the aorta and other large vessels in the clinic and not the coronary vasculature. Therefore, many clinical studies that link arterial stiffness and wave reflections with CAD and other heart-related disease do not focus on wave dynamics in the coronary arteries (37, 58). Because of this, there is little to no clinical evidence of the impact of wave reflections on coronary flow and underlying disease, although it is apparent that the topic requires further studying.
Endocardial versus Epicardial Mechanics
As coronary vessels can be both endocardial and epicardial, it is important to note that the passive mechanics of the vessels may change based on their location within myocardial tissue and how they are exposed to active forces derived from cardiac contraction. Although some have reported marked differences in endocardial and epicardial coronary flow profiles (59–61), others report much smaller differences (62–64). These apparent small differences in flow profiles between the two vessel types are surprising, especially as it is well established that embedded endocardial coronary vessels are subjected to significantly greater compressive forces with contraction of the myocardium (65).
When considering the flow profiles of endocardial and epicardial coronary vessels, it is important to note that the large differences in force the vessels are exposed to likely cause differences in vessel structure, and therefore passive biomechanical characteristics. Specifically, differences in coronary stiffness and distensibility have been long debated. Of particular interest is where overall coronary capacitance is derived, that is, whether endocardial or epicardial coronary vessels may act as a type of capacitor, where changes in blood volume are accompanied by smaller changes in pressure. Although there is evidence of nonnegligible epicardial coronary capacitance (60, 66–68), more recent evidence points to overall coronary capacitance likely being derived from endocardial arteries (67, 69, 70). Interestingly, these observations are paired with differences in the distribution of endocardial and epicardial coronary resistances (71), which is hypothesized to play a role in the development of coronary capacitance.
Cellular versus Extracellular Determinants of CBF
To truly understand the integrated biomechanics regulating CBF, we must consider the possible individual contributors. Classically, the ECM has been a well-studied contributor to vascular stiffness. There are a plethora of data pointing to a positive association between ECM accumulation and vascular stiffness, including in the coronary conduit arteries, often precipitated by an accumulation of fibrillar collagens. On the contrary, not all vessels become stiff in disease. We showed that CRMs from T2DM mice and MetS pigs are actually less stiff with augmented elastin expression (11, 12). The Wegenseil and Mecham groups have extensively analyzed the roles of elastin and other elastic fibers in aortic biomechanics. There are a number of reviews that discuss ideas such as vascular ECM development and organization and its role in general arterial mechanics (72), and more specifically, the importance of elastic fibers in aortic mechanical development (73, 74). How these specifically apply to the coronary macro- and microcirculation are just beginning to be understood.
More recent data point to the vascular smooth muscle cells as also playing an important role in contributing to coronary vascular biomechanics. Indeed, cellular stiffness is an emerging component of vessel biomechanics and there have been previous studies outside of the coronary field that demonstrate this point well. Studies have reported an increase in aortic (macrovascular) VSMC and endothelial cell stiffness in Western-diet-fed animal models, and in many cases, these were associated with increased vessel stiffness (75–78). Very recent data from our laboratory showed that coronary microvascular VSMCs were less stiff in T2DM, in keeping with a consistent decrease in coronary microvascular tissue stiffness (79). Collectively, these data combined with other data in VSMCs from larger arteries suggest that cell stiffness and vascular wall stiffness are linked (80). The mechanisms governing cell stiffness and the influence it ultimately has in regulating CBF have yet to be fully elucidated. The content and organization of cytoskeletal proteins have been a subject of recent investigations (81–86), as have the Rho-associated protein kinase (ROCK) and serum response factor (SRF)/myocardin signaling pathways (87). Conversely, Paul et al. (88) reported that in porcine coronary arteries, the disruption of microtubules by nocodazole elicited significant increases in isometric force, however, little-to-no changes in coronary artery stiffness or unloaded shortening velocity were observed. These data indicate that microtubules do not significantly contribute to coronary vascular smooth muscle mechanical characteristics (88). Although these studies clearly demonstrate a link between cytoskeletal components and cellular stiffness, there is a critical void in the literature linking the role of coronary vascular cell and tissue biomechanics explicitly to the control of CBF. This is a critical void in our knowledge and should be an active area of investigation.
Forces Acting on the Coronary Circulation
The coronary vessels experience force from both the myocardium surrounding the vessel and the blood flowing through it. These forces can be categorized into three principal stresses (circumferential, axial, and radial) and shear stress. Circumferential (or hoop) stress is the force within the vessel wall circumferentially, originating from internal pressure that acts tangentially to increase the circumference of the vessel. Axial stress is the force acting along the longitudinal direction of the vessel also due to internal pressure. Radial stress is the stress that is normal to the inner walls of the vessel and is zero on the outer wall. In the case of thin-walled pressurized vessels, such as the coronary microcirculation, radial stress is insignificant compared with the other two principal stresses. Finally, wall shear stress (WSS) is the drag force along the vessel wall due to blood moving along the endothelial surface. The role of active force in coronary disease progression is currently a popular topic, where it is well known that pathological alterations in localized stresses are often implicated in CAD formation and progression (89–93). For instance, the maintenance of wall stresses in the large conduit coronary arteries is key in preventing atherosclerosis, as localized differences in wall stress are shown to lead to plaque formation (94). There are a number of excellent reviews on the topic that provide an in-depth discussion of the role of both shear stress and radial stress on coronary artery disease and atherosclerosis (95–97). However, very little is known about how forces in the coronary vasculature regulate and maintain CBF.
Computational modeling of the active and passive biomechanics of the coronary vasculature is becoming more and more popular as a means of analyzing the effect of forces on CBF, in part because of the complexities of measuring them in vivo. Waters et al. (98) provide an excellent in-depth review of the current state of theoretical and computational modeling of coronary biomechanics. Although much of the current modeling of the coronary vasculature focuses on the effects on atherosclerosis progression (99–101), there also exists a focus on the relationship between external force application (extravascular compression) and CBF. Models of the coronary conduit arteries reveal the relationship between a vessel’s material properties (passive mechanics) and flow through the vessel, where flow is almost entirely dependent on the stiffness and functionality of the vessel (smooth muscle contraction) (102–104). In the microvasculature, however, external force application seems to play a significant role, likely due to the thin-walled nature of the smaller vessels (105, 106). Recent models point to the impact of myocardial mechanics in regulation of coronary flow, where extravascular compression decreases the radius of embedded vessels and subsequent CBF (101, 107–109). Although there still remains a large gap in modeling passive biomechanics of the microvessels, recent developments in computational modeling of the coronary vasculature have shed light on mechanical regulation of coronary CBF.
THE COMPLEXITIES OF THE INTEGRATION OF STRUCTURAL AND BIOMECHANICAL INFLUENCES OF CBF: A SUMMARY
Over the past five decades, substantial studies have primarily focused on elucidating the functional mechanisms regulating CBF; however, in more recent years there has been a significant amount of evidence that shows the importance of both structural changes and biomechanical alterations in regulating CBF. It is well established that myogenic, biochemical, endothelial, and neural-mediated functions regulate the coronary circulation; however, the integration of these signals and how these individual functional components all work together to regulate coronary perfusion is not well known in large part because studying them in an integrated manner is extremely complicated. The utilization of computational models may facilitate the answers to these relative questions. In the meantime, one possible explanation of these relationships could lie within timing and disease status. For example, functional alterations (VSMC constriction/dilation) within the coronary circulation can occur more quickly than changes in remodeling or biomechanics, as those involve adding/reorganizing cells and extracellular matrix. Therefore, it may be that coronary function dictates acute modulations of CBF, whereas alterations in remodeling and biomechanics influence CBF more chronically while still retaining acute functional regulation, albeit impaired in diseases such as diabetes and aging. These factors are compounded by the fact that the myocardium itself can alter CBF under various pathological conditions (3, 10). Finally, given our previous findings of reduced radius, reduced stiffness, and reduced CBF in the coronary microcirculation of both mouse and pig models of disease (11, 12), it is tempting to speculate that alterations in biomechanical components (e.g., coronary stiffness) serve to compensate to prevent further reductions in CBF in these conditions. Future studies are warranted to more fully elucidate these relationships.
The current plethora of research studies in these various facets point out the complexity of the many mechanisms that are engaged and working together to control CBF. With so many factors influencing CBF, we must take on a new multidisciplinary approach to studying the mechanisms with a particular focus on including raw radius/diameter data in studies to conduct direct comparisons. Those data in the literature are scarce as most functional data are presented as a percent of baseline or preconstricted value, but there are a few examples that indeed show that myogenic responses and remodeling can have huge impacts on diameter and flow (11, 12, 110, 111). For example, Poiseuille’s Law would estimate a ∼98% reduction in CBF due to myogenic responses in mouse coronary arterioles, when compared to passive radius (111). Similarly, passive remodeling radius changes in our own data between normal and diabetic mice and pigs would estimate a 45%–50% reduction in CBF (11, 12), which is in keeping with our actual reported 40%–45% reductions in hyperemic CBF (11). These components have been well studied as individual contributors, and we must now approach our study of them as an integrated unit in normal and disease states, perhaps using computational biology as a vehicle. With this approach, it will become much simpler to elucidate which mechanisms are compensatory versus direct results of the disease state. Given these arguments, future studies should address the interface among structure-function relationships coordinated with the poorly understood influence of coronary biomechanics and myocardial “extravascular compression.”
GRANTS
This work was supported in part by the National Institutes of Health Grants R00 HL116769, R21 EB026518, and S10 OD023438 (to A.J.T.) and The Abigail Wexner Research Institute at Nationwide Children’s Hospital (to A.J.T.).
DISCLOSURES
No conflicts of interest, financial or otherwise, are declared by the authors.
AUTHOR CONTRIBUTIONS
P.E.M., B.W.S., and A.J.T. conceived and designed research; P.E.M., B.W.S., and A.J.T. analyzed data; P.E.M., B.W.S., and A.J.T. interpreted results of experiments; P.E.M., B.W.S., and A.J.T. prepared figures; P.E.M., B.W.S., and A.J.T. drafted manuscript; P.E.M., B.W.S., and A.J.T. edited and revised manuscript; P.E.M., B.W.S., and A.J.T. approved final version of manuscript.
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