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The arterial network in healthy young adults is thought to be structured to optimize wave reflection in the arterial system, producing an ascending aortic pressure waveform with three key features: early systolic peak, negative systolic augmentation and diastolic hump. One-dimensional computer models have provided significant insights into arterial haemodynamics, but no previous models of the young adult have exhibited these three features. Given that this issue was likely to be related to unrepresentative or non-optimized impedance properties of the model arterial networks, we developed a new 'YoungAdult' model that incorporated the following features: (i) a new and more accurate empirical equation for approximating wave speeds, based on area and relative distance to elastic-muscular arterial transition points; (ii) optimally matched arterial junctions; and (iii) an improved arterial network geometry that eliminated 'within-segment' taper (which causes wave reflection in conduit arteries) whilst establishing 'impedance-preserving' taper. These properties of the model led to wave reflection occurring predominantly at distal vascular beds, rather than in conduit arteries. The model predicted all three typical characteristics of an ascending aortic pressure waveform observed in young adults. When compared with non-invasively acquired pressure and velocity measurements (obtained via tonometry and Doppler ultrasound in seven young adults), the model was also shown to reproduce the typical waveform morphology observed in the radial, brachial, carotid, temporal, femoral and tibial arteries. The YoungAdult model provides support for the concept that the arterial tree impedance in healthy young adults is exquisitely optimized, and it provides an important baseline model for investigating cardiovascular changes in ageing and disease states. KEY POINTS: The origin of wave reflection in the arterial system is controversial, but reflection properties are likely to give rise to characteristic haemodynamic features in healthy young adults, including an early systolic peak, negative systolic augmentation and diastolic hump in the ascending aortic pressure waveform, and triphasic velocity profiles in peripheral arteries. Although computational modelling provides insights into arterial haemodynamics, no previous models have predicted all these features. An established arterial network model was optimized by incorporating the following features: (i) a more accurate representation of arterial wave speeds; (ii) precisely matched junctions; and (iii) impedance-preserving tapering, thereby minimizing wave reflection in conduit arteries in the forward direction. Comparison with in vivo data (n = 7 subjects) indicated that the characteristic waveform features in young adults were predicted accurately. Our findings strongly imply that a healthy young arterial system is structured to optimize wave reflection in the main conduit arteries and that reflection of forward waves occurs primarily in the vicinity of vascular beds.
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Artérias Carótidas , Hemodinâmica , Pressão Sanguínea , Diástole , Humanos , Sístole , Adulto JovemRESUMO
Current thinking suggests that wave reflection in arteries limits pulse pressure and hydraulic energy (HE) transmission to the microvasculature and that this protective effect reduces with advancing age. However, according to transmission line theory, pressure transmission (Tp) and reflection (R) coefficients are proportional (Tp = 1 + R), implying that wave reflection would promote rather than limit pressure transmission. We hypothesized that increasing distal pulse pressure (PPd) with age is instead related to increased proximal pulse pressure (PPp) and its forward component and that these are modulated by arterial compliance. A one-dimensional model of a fractal arterial tree containing 21 generations was constructed. Wave speed in each vessel was prescribed to achieve a uniform R at every junction, with changes in R achieved by progressively stiffening proximal or distal vessels. For both stiffening scenarios, decreasing reflection led to a decrease or no change in PPd when forward pressure or compliance were held constant, respectively, suggesting that wave reflection per se does not limit pressure transmission. Proximal pulse pressure, its forward component, and PPd increased with decreasing compliance; furthermore, proximal and distal pulse pressures were approximately proportional. With fixed compliance but decreasing reflection, HE transmission increased, whereas pressure transmission decreased, consistent with transmission line theory. In conclusion, wave reflection does not protect the microvasculature from high PPd; rather, PPp and PPd are modulated by arterial compliance, which reduces with age. Wave reflection has opposing effects on pressure and HE transmission; hence, the relative importance of pressure versus HE in contributing to microvascular damage warrants investigation.NEW & NOTEWORTHY With aging, a reduction in the stiffness gradient between elastic and muscular arteries is thought to reduce wave reflection in conduit arteries, leading to increased pulsatile pressure transmission into the microvasculature. This assumes that wave reflection limits pressure transmission in arteries. However, using a computational model, we showed that wave reflection promotes pulsatile pressure transmission, although it does limit hydraulic energy transmission. Increased microvascular pulse pressure with aging is instead related to decreasing arterial compliance.
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Envelhecimento/fisiologia , Artérias/fisiologia , Pressão Sanguínea , Microvasos/fisiologia , Modelos Cardiovasculares , Animais , Artérias/crescimento & desenvolvimento , Humanos , Microvasos/crescimento & desenvolvimento , Fluxo Pulsátil , Análise de Onda de PulsoRESUMO
GOAL: A diastolic-to-systolic shift in the return time (RT) of backward waves to central arteries is expected with ageing. However, current methods of estimating RT-inflection point, zero crossing, and foot-depend on a single waveform feature and produce systolic RT throughout life. We propose a novel centroid method that accounts for the entire backward pressure waveform. We assess the accuracy of the various methods against a ground truth RT (GTRT) and their sensitivity to diastolic/systolic RT. METHODS: Linear wave tracking was implemented in a one-dimensional systemic arterial tree model and GTRT was calculated as the amplitude-weighted mean RT of backward waves at the ascending aorta. The sensitivity of the methods to diastolic/systolic RT was also assessed in ten sheep. A balloon catheter in the descending thoracic aorta generated a backward-running pulse that arrived at the ascending aorta at different times during diastole or systole, allowing the 'bulk' RT of the backward-running wave ensemble to be manipulated. RESULTS: Using a virtual cohort of 1200 patients, the centroid RT was closest to GTRT compared to the zero crossing, inflection point, and foot methods; mean differences (limits of agreement) were -8 (-47, 30), vs -42 (-136, 52), -78 (-305, 149), and -197 (-379,-15) ms, respectively. Furthermore, only the centroid method was sensitive to both diastolic and systolic RT; other methods were only sensitive to systolic RT. CONCLUSION: The centroid method had the highest accuracy and robustness in estimating RT. SIGNIFICANCE: This can provide insight into the diastolic-to-systolic shift in RT of backward waves with ageing.
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Aorta , Artérias , Animais , Ovinos , Pressão SanguíneaRESUMO
Wave separation analysis (WSA) reveals the impact of forward- and backward-running waves on the arterial pressure pulse, but the calculations require a flow waveform. This study investigated (1) the variability of the ascending aortic flow waveform in children and adolescents with/without a childhood heart disease history (CHD); (2) the accuracy of WSA obtained with a representative flow waveform (RepFlow), compared with the triangulation method and published ultrasound-derived adult representative flow; (3) the impact of limitations in Doppler ultrasound on WSA; and (4) generalizability of results to adults with a history of CHD. Phase contrast MRI was performed in youth without (n = 45, Group 1, 10-19 years) and with CHD (n = 79, Group 2, 7-18 years), and adults with CHD history (n = 29, Group 3, 19-59 years). Segmented aortic cross-sectional area was used as a surrogate for the central pressure waveform in WSA. A subject-specific virtual Doppler ultrasound was performed on MRI data by extracting velocities from a sample volume. Time/amplitude-normalized ascending aortic flow waveforms were highly consistent amongst all groups. WSA with RepFlow therefore yielded errors < 10% in all groups for reflected wave magnitude and return time. Absolute errors were typically 1.5-3 times greater with other methods, including subject-specific (best-case/virtual) Doppler ultrasound, for which velocity profile skewing introduced waveform errors. Our data suggest that RepFlow is the optimal approach for pressure-only WSA in children and adolescents with/without CHD, as well as adults with CHD history, and may even be more accurate than subject-specific Doppler ultrasound in the ascending aorta.
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Aorta , Cardiopatias , Adulto , Humanos , Adolescente , Criança , Aorta/diagnóstico por imagem , Ultrassonografia , Ultrassonografia Doppler , Imageamento por Ressonância Magnética , Pressão Sanguínea , Velocidade do Fluxo Sanguíneo , Análise de Onda de PulsoRESUMO
The optimal performance of the cardiovascular system, as well as the break-down of this performance with disease, both involve complex biomechanical interactions between the heart, conduit vascular networks and microvascular beds. 'Wave analysis' refers to a group of techniques that provide valuable insight into these interactions by scrutinizing the shape of blood pressure and flow/velocity waveforms. The aim of this review paper is to provide a comprehensive introduction to wave analysis, with a focus on key concepts and practical application rather than mathematical derivations. We begin with an overview of invasive and non-invasive measurement techniques that can be used to obtain the signals required for wave analysis. We then review the most widely used wave analysis techniques-pulse wave analysis, wave separation and wave intensity analysis-and associated methods for estimating local wave speed or characteristic impedance that are required for decomposing waveforms into forward and backward wave components. This is followed by a discussion of the biomechanical phenomena that generate waves and the processes that modulate wave amplitude, both of which are critical for interpreting measured wave patterns. Finally, we provide a brief update on several emerging techniques/concepts in the wave analysis field, namely wave potential and the reservoir-excess pressure approach.
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Fluid flow is an important regulator of cell function and metabolism in many tissues. Fluid shear stresses have been used to level the mechanical stimuli applied in vitro with what occurs in vivo. However, these experiments often lack dynamic similarity, which is necessary to ensure the validity of the model. For interstitial fluid flow, the major requirement for dynamic similarity is the Reynolds number (Re), the ratio of inertial to viscous forces, is the same between the system and model. To study the necessity of dynamic similarity for cell mechanotransduction studies, we investigated the response of osteocyte-like MLO-Y4 cells to different Re flows at the same level of fluid shear stress. Osteocytes were chosen for this study as flows applied in vitro and in vivo have Re that are orders of magnitude different. We hypothesize that osteocytes' response to fluid flow is Re dependent. We observed that cells exposed to lower and higher Re flows developed rounded and triangular morphologies, respectively. Lower Re flows also reduced apoptosis rates compared to higher Re flows. Furthermore, MLO-Y4 cells exposed to higher Re flows had stronger calcium responses compared to lower Re flows. However, by also controlling for flow rate, the lower Re flows induced a stronger calcium response; while degradation of components of the osteocyte glycocalyx reversed this effect. This work suggests that osteocytes are highly sensitive to differences in Re, independent of just shear stresses, supporting the need for improved in vitro flow platforms that better recapitulate the physiological environment. © 2017 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 36:663-671, 2018.
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Adaptação Fisiológica , Osteócitos/fisiologia , Osteogênese , Animais , Fenômenos Biomecânicos , Feminino , Técnicas Analíticas Microfluídicas , Ratos Sprague-Dawley , Estresse MecânicoRESUMO
Exposure of endothelial cells to low and multidirectional blood flow is known to promote a pro-atherogenic phenotype. The mechanics of the vessel wall is another important mechano-stimulus within the endothelial cell environment, but no study has examined whether changes in the magnitude and direction of cell stretch can be pro-atherogenic. Herein, we developed a custom cell stretching device to replicate the in vivo stretch environment of the endothelial cell and examined whether low and multidirectional stretch promote nuclear translocation of NF-κB. A fluid-structure interaction model of the device demonstrated a nearly uniform strain within the region of cell attachment and a negligible magnitude of shear stress due to cyclical stretching of the cells in media. Compared to normal cyclical stretch, a low magnitude of cyclical stretch or no stretch caused increased expression of nuclear NF-κB (p = 0.09 and p < 0.001, respectively). Multidirectional stretch also promoted significant nuclear NF-κB expression, comparable to the no stretch condition, which was statistically higher than the low (p < 0.001) and normal (p < 0.001) stretch conditions. This is the first study to show that stretch conditions analogous to atherogenic blood flow profiles can similarly promote a pro-atherogenic endothelial cell phenotype, which supports a role for disturbed vessel wall mechanics as a pathological cell stimulus in the development of advanced atherosclerotic plaques.
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Aterosclerose/metabolismo , Núcleo Celular/metabolismo , Células Endoteliais/metabolismo , Regulação da Expressão Gênica , NF-kappa B/metabolismo , Estresse Mecânico , Aterosclerose/patologia , Linhagem Celular , Núcleo Celular/patologia , Células Endoteliais/patologia , Humanos , Placa Aterosclerótica/metabolismo , Placa Aterosclerótica/patologiaRESUMO
Plaques vulnerable to rupture are characterized by a thin and stiff fibrous cap overlaying a soft lipid-rich necrotic core. The ability to measure local plaque stiffness directly to quantify plaque stress and predict rupture potential would be very attractive, but no current technology does so. This study seeks to validate the use of Brillouin microscopy to measure the Brillouin frequency shift, which is related to stiffness, within vulnerable plaques. The left carotid artery of an ApoE(-/-)mouse was instrumented with a cuff that induced vulnerable plaque development in nine weeks. Adjacent histological sections from the instrumented and control arteries were stained for either lipids or collagen content, or imaged with confocal Brillouin microscopy. Mean Brillouin frequency shift was 15.79 ± 0.09 GHz in the plaque compared with 16.24 ± 0.15 (p < 0.002) and 17.16 ± 0.56 GHz (p < 0.002) in the media of the diseased and control vessel sections, respectively. In addition, frequency shift exhibited a strong inverse correlation with lipid area of -0.67 ± 0.06 (p < 0.01) and strong direct correlation with collagen area of 0.71 ± 0.15 (p < 0.05). This is the first study, to the best of our knowledge, to apply Brillouin spectroscopy to quantify atherosclerotic plaque stiffness, which motivates combining this technology with intravascular imaging to improve detection of vulnerable plaques in patients.