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Schot M, Becker M, Paggi CA, Gomes F, Koch T, Gensheimer T, Johnbosco C, Nogueira LP, van der Meer A, Carlson A, Haugen H, Leijten J. Photoannealing of Microtissues Creates High-Density Capillary Network Containing Living Matter in a Volumetric-Independent Manner. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2024; 36:e2308949. [PMID: 38095242 DOI: 10.1002/adma.202308949] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/01/2023] [Revised: 11/21/2023] [Indexed: 07/13/2024]
Abstract
The vascular tree is crucial for the survival and function of large living tissues. Despite breakthroughs in 3D bioprinting to endow engineered tissues with large blood vessels, there is currently no approach to engineer high-density capillary networks into living tissues in a scalable manner. Here, photoannealing of living microtissue (PALM) is presented as a scalable strategy to engineer capillary-rich tissues. Specifically, in-air microfluidics is used to produce living microtissues composed of cell-laden microgels in ultrahigh throughput, which can be photoannealed into a monolithic living matter. Annealed microtissues inherently give rise to an open and interconnected pore network within the resulting living matter. Interestingly, utilizing soft microgels enables microgel deformation, which leads to the uniform formation of capillary-sized pores. Importantly, the ultrahigh throughput nature underlying the microtissue formation uniquely facilitates scalable production of living tissues of clinically relevant sizes (>1 cm3) with an integrated high-density capillary network. In short, PALM generates monolithic, microporous, modular tissues that meet the previously unsolved need for large engineered tissues containing high-density vascular networks, which is anticipated to advance the fields of engineered organs, regenerative medicine, and drug screening.
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Affiliation(s)
- Maik Schot
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
| | - Malin Becker
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
| | - Carlo Alberto Paggi
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
| | - Francisca Gomes
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
| | - Timo Koch
- Department of Mathematics, University of Oslo, Oslo, 0316, Norway
| | - Tarek Gensheimer
- Department of Applied Stem Cell Technology, TechMed Centre, University of Twente, Enschede, 7500AE, The Netherlands
| | - Castro Johnbosco
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
| | | | - Andries van der Meer
- Department of Applied Stem Cell Technology, TechMed Centre, University of Twente, Enschede, 7500AE, The Netherlands
| | - Andreas Carlson
- Department of Mathematics, University of Oslo, Oslo, 0316, Norway
| | - Håvard Haugen
- Department of Biomaterials, Institute of Clinical Dentistry, University of Oslo, Oslo, 0316, Norway
| | - Jeroen Leijten
- Leijten lab, Department of Developmental BioEngineering, TechMed Centre, University of Twente, Enschede, 7522AE, The Netherlands
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Ashrafee A, Yashfe SMS, Khan NS, Islam MT, Azam MG, Arafat MT. Design of experiment approach to identify the dominant geometrical feature of left coronary artery influencing atherosclerosis. Biomed Phys Eng Express 2024; 10:035008. [PMID: 38430572 DOI: 10.1088/2057-1976/ad2f59] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2023] [Accepted: 03/01/2024] [Indexed: 03/04/2024]
Abstract
Background and Objective. Coronary artery geometry heavily influences local hemodynamics, potentially leading to atherosclerosis. Consequently, the unique geometrical configuration of an individual by birth can be associated with future risk of atherosclerosis. Although current researches focus on exploring the relationship between local hemodynamics and coronary artery geometry, this study aims to identify the order of influence of the geometrical features through systematic experiments, which can reveal the dominant geometrical feature for future risk assessment.Methods. According to Taguchi's method of design of experiment (DoE), the left main stem (LMS) length (lLMS), curvature (kLMS), diameter (dLMS) and the bifurcation angle between left anterior descending (LAD) and left circumflex (LCx) artery (αLAD-LCx) of two reconstructed patient-specific left coronary arteries (LCA) were varied in three levels to create L9 orthogonal array. Computational fluid dynamic (CFD) simulations with physiological boundary conditions were performed on the resulting eighteen LCA models. Average helicity intensity (h2) and relative atheroprone area (RAA) of near-wall hemodynamic descriptors were analyzed.Results. The proximal LAD (LADproximal) was identified to be the most atheroprone region of the left coronary artery due to higherh2,large RAA of time averaged wall shear stress (TAWSS < 0.4 Pa), oscillatory shear index (OSI ∼ 0.5) and relative residence time (RRT > 4.17 Pa-1). In both patient-specific cases, based onh2and TAWSS,dlmsis the dominant geometric parameter while based on OSI and RRT,αLAD-LCxis the dominant one influencing hemodynamic condition in proximal LAD (p< 0.05). Based on RRT, the rank of the geometrical factors is:αLAD-LCx>dLMS>lLMS>kLMS, indicating thatαLAD-LCxis the most dominant geometrical factor affecting hemodynamics at proximal LAD which may influence atherosclerosis.Conclusion. The proposed identification of the rank of geometrical features of LCA and the dominant feature may assist clinicians in predicting the possibility of atherosclerosis, of an individual, long before it will occur. This study can further be translated to be used to rank the influence of several arterial geometrical features at different arterial locations to explore detailed relationships between the arterial geometrical features and local hemodynamics.
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Affiliation(s)
- Adiba Ashrafee
- Department of Biomedical Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka - 1205, Bangladesh
| | - Syed Muiz Sadat Yashfe
- Department of Biomedical Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka - 1205, Bangladesh
| | - Nusrat S Khan
- Department of Biomedical Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka - 1205, Bangladesh
- Department of Biomedical Engineering, Duke University, Durham, NC 27708, United States of America
| | - Md Tariqul Islam
- Department of Radiology and Imaging, Sheikh Hasina National Institute of Burn & Plastic Surgery, Dhaka - 1205, Bangladesh
| | - M G Azam
- Department of Cardiology, National Institute of Cardiovascular Diseases (NICVD), Dhaka - 1207, Bangladesh
| | - M Tarik Arafat
- Department of Biomedical Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka - 1205, Bangladesh
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Santana Nunez D, Malik AB, Lee Q, Ahn SJ, Coctecon-Murillo A, Lazarko D, Levitan I, Mehta D, Komarova YA. Piezo1 induces endothelial responses to shear stress via soluble adenylyl Cyclase-IP 3R2 circuit. iScience 2023; 26:106661. [PMID: 37168565 PMCID: PMC10164902 DOI: 10.1016/j.isci.2023.106661] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2022] [Revised: 01/30/2023] [Accepted: 04/07/2023] [Indexed: 05/13/2023] Open
Abstract
Endothelial cells (ECs) continuously sense and adapt to changes in shear stress generated by blood flow. Here, we show that the activation of the mechanosensitive channel Piezo1 by defined shear forces induces Ca2+ entry into the endoplasmic reticulum (ER) via the ER Ca2+ ATPase pump. This entry is followed by inositol trisphosphate receptor 2 (IP3R2)-elicited ER Ca2+ release into the cytosol. The mechanism of ER Ca2+ release involves the generation of cAMP by soluble adenylyl cyclase (sAC), leading to IP3R2-evoked Ca2+ gating. Depleting sAC or IP3R2 prevents ER Ca2+ release and blocks EC alignment in the direction of flow. Overexpression of constitutively active Akt1 restores the shear-induced alignment of ECs lacking Piezo1 or IP3R2, as well as the flow-induced vasodilation in endothelial restricted Piezo1 knockout mice. These studies describe an unknown Piezo1-cAMP-IP3R2 circuit as an essential mechanism activating Akt signaling and inducing adaptive changes in ECs to laminar flow.
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Affiliation(s)
- Dianicha Santana Nunez
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
| | - Asrar B. Malik
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
| | - Quinn Lee
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
| | - Sang Joon Ahn
- Department of Medicine, University of Illinois College of Medicine, Chicago, IL, USA
| | - Arnold Coctecon-Murillo
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
| | - Dana Lazarko
- Department of Medicine, University of Illinois College of Medicine, Chicago, IL, USA
| | - Irena Levitan
- Department of Medicine, University of Illinois College of Medicine, Chicago, IL, USA
| | - Dolly Mehta
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
| | - Yulia A. Komarova
- Department of Pharmacology and Regenerative Medicine, the Center for Lung and Vascular Biology, University of Illinois College of Medicine, Chicago, IL, USA
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Using a Human Circulation Mathematical Model to Simulate the Effects of Hemodialysis and Therapeutic Hypothermia. APPLIED SCIENCES-BASEL 2021. [DOI: 10.3390/app12010307] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Background: We developed a hemodynamic mathematical model of human circulation coupled to a virtual hemodialyzer. The model was used to explore mechanisms underlying our clinical observations involving hemodialysis. Methods: The model consists of whole body human circulation, baroreflex feedback control, and a hemodialyzer. Four model populations encompassing baseline, dialysed, therapeutic hypothermia treated, and simultaneous dialysed with hypothermia were generated. In all populations atrial fibrillation and renal failure as co-morbidities, and exercise as a treatment were simulated. Clinically relevant measurables were used to quantify the effects of each in silico experiment. Sensitivity analysis was used to uncover the most relevant parameters. Results: Relative to baseline, the modelled dialysis increased the population mean diastolic blood pressure by 5%, large vessel wall shear stress by 6%, and heart rate by 20%. Therapeutic hypothermia increased systolic blood pressure by 3%, reduced large vessel shear stress by 15%, and did not affect heart rate. Therapeutic hypothermia reduced wall shear stress by 15% in the aorta and 6% in the kidneys, suggesting a potential anti-inflammatory benefit. Therapeutic hypothermia reduced cardiac output under atrial fibrillation by 12% and under renal failure by 20%. Therapeutic hypothermia and exercise did not affect dialyser function, but increased water removal by approximately 40%. Conclusions: This study illuminates some mechanisms of the action of therapeutic hypothermia. It also suggests clinical measurables that may be used as surrogates to diagnose underlying diseases such as atrial fibrillation.
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Li J, Zhu L, Zhu R, Lu Y, Rong X, Zhang Y, Gu X, Wang Y, Zhang Z, Ren Q, Rong B, Yang L. Automated Analysis of Choroidal Sublayer Morphologic Features in Myopic Children Using EDI-OCT by Deep Learning. Transl Vis Sci Technol 2021; 10:12. [PMID: 34751742 PMCID: PMC8590176 DOI: 10.1167/tvst.10.13.12] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022] Open
Abstract
Purpose The purpose of this study was to analyze the choroidal sublayer morphologic features in emmetropic and myopic children using an automatic segmentation model, and to explore the relationship between choroidal sublayers and spherical equivalent refraction (SER). Methods We collected data on 92 healthy children (92 eyes) from the Ophthalmology Department of Peking University First Hospital. The data were allocated to three groups: emmetropia (+0.50 diopters [D] to -0.50 D), low myopia (-0.75 D to -3.00 D), and moderate myopia (-3.25 D to -5.75 D). We performed standardized optical coherence tomography (OCT) and developed a new segmentation technique to measure choroidal thickness (CT), large-vessel choroidal layer (LVCL), medium-vessel choroidal layer (MVCL), and small-vessel choroidal layer thickness (SVCL), and evaluated the choroidal vascular system (choroidal vascular volume [VV], choroidal vascular index [CVI], and choroidal vascular density [CVD]). Results All choroidal sublayers (LVCL, MVCL, and SVCL) were significantly thinner in myopic than in emmetropic eyes (P < 0.05), the thinnest choroidal region being the nasal outer subfield (P < 0.05). In all choroidal regions of SVCL, a positive correlation was found between SER and thickness ratio (P < 0.001). In most subfields of MVCL, a similar correlation was found (P < 0.050), the exceptions being the two nasal subfields (0.050 < P < 0.300). In contrast, the thickness ratio of LVCL decreased in all subfields (P < 0.050). VV correlated with SER negatively in LVCL in all subfields (all P < 0.001) and most subfields in MVCL except for two temporal subfields (0.050 < P < 0.200). However, no significant correlations were found between CVI and SER in LVCL (P > 0.050) and MVCL (with the exception being the temporal inner subfield, P = 0.011). Conclusions Thickness of choroidal sublayers was reduced with higher myopic SER, whereas changes in thickness ratio varied between sublayers. No significant correlations between CVI and SER suggested that both choroidal stromal and vascular volume decreases proportionately. Translational Relevance Automatic segmentation model will be helpful for future clinical trials to quantify choroidal sublayer morphologic features in myopia.
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Affiliation(s)
- Junmeng Li
- Department of Ophthalmology, Peking University First Hospital, Beijing, China.,Institute of Medical Technology, Peking University Health Science Center, Peking University, Beijing, China
| | - Lei Zhu
- Institute of Medical Technology, Peking University Health Science Center, Peking University, Beijing, China.,Department of Biomedical Engineering, Peking University, Beijing, China
| | - Ruilin Zhu
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Yanye Lu
- Institute of Medical Technology, Peking University Health Science Center, Peking University, Beijing, China
| | - Xin Rong
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Yadi Zhang
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Xiaopeng Gu
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Yuwei Wang
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Zhiyue Zhang
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Qiushi Ren
- Department of Biomedical Engineering, Peking University, Beijing, China
| | - Bei Rong
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
| | - Liu Yang
- Department of Ophthalmology, Peking University First Hospital, Beijing, China
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Oldfield CJ, Duhamel TA, Dhalla NS. Mechanisms for the transition from physiological to pathological cardiac hypertrophy. Can J Physiol Pharmacol 2020; 98:74-84. [DOI: 10.1139/cjpp-2019-0566] [Citation(s) in RCA: 47] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
The heart is capable of responding to stressful situations by increasing muscle mass, which is broadly defined as cardiac hypertrophy. This phenomenon minimizes ventricular wall stress for the heart undergoing a greater than normal workload. At initial stages, cardiac hypertrophy is associated with normal or enhanced cardiac function and is considered to be adaptive or physiological; however, at later stages, if the stimulus is not removed, it is associated with contractile dysfunction and is termed as pathological cardiac hypertrophy. It is during physiological cardiac hypertrophy where the function of subcellular organelles, including the sarcolemma, sarcoplasmic reticulum, mitochondria, and myofibrils, may be upregulated, while pathological cardiac hypertrophy is associated with downregulation of these subcellular activities. The transition of physiological cardiac hypertrophy to pathological cardiac hypertrophy may be due to the reduction in blood supply to hypertrophied myocardium as a consequence of reduced capillary density. Oxidative stress, inflammatory processes, Ca2+-handling abnormalities, and apoptosis in cardiomyocytes are suggested to play a critical role in the depression of contractile function during the development of pathological hypertrophy.
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Affiliation(s)
- Christopher J. Oldfield
- Faculty of Kinesiology & Recreation Management, University of Manitoba, Winnipeg, MB R3T 2N2, Canada
- Institute of Cardiovascular Sciences, St. Boniface Hospital Albrechtsen Research Centre, Winnipeg, MB R2H 2A6, Canada
| | - Todd A. Duhamel
- Faculty of Kinesiology & Recreation Management, University of Manitoba, Winnipeg, MB R3T 2N2, Canada
- Institute of Cardiovascular Sciences, St. Boniface Hospital Albrechtsen Research Centre, Winnipeg, MB R2H 2A6, Canada
| | - Naranjan S. Dhalla
- Institute of Cardiovascular Sciences, St. Boniface Hospital Albrechtsen Research Centre, Winnipeg, MB R2H 2A6, Canada
- Department of Physiology & Pathophysiology, Max Rady College of Medicine, University of Manitoba, Winnipeg, MB R3E 0J9, Canada
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7
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Bing F, Wang X, Shen W, Li L, Niu P, Chen Y, Zhang W, Tan W, Huo Y. Inhalation of Ultrafine Zinc Particles Impaired Cardiovascular Functions in Hypertension-Induced Heart Failure Rats With Preserved Ejection Fraction. Front Bioeng Biotechnol 2020; 8:13. [PMID: 32039193 PMCID: PMC6993201 DOI: 10.3389/fbioe.2020.00013] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2019] [Accepted: 01/08/2020] [Indexed: 12/30/2022] Open
Abstract
Although it is possible for inhalation of ultrafine particles to impair human health, its effect is not clear in patients with HFpEF. This study investigated cardiac and hemodynamic changes in hypertension-induced rats of HFpEF after inhaling ultrafine zinc particles for a while. Multiple experimental measurements were carried out in DSS rats fed with high salt (HS) and low salt (LS) diets as well as HS diet with the inhalation of ultrafine zinc particles (defined as HP). Cardiac strain and strain rate were quantified by the speckle tracking echocardiography. The pressure and flow waves were recorded in the carotid artery and abdominal aorta and analyzed by the models of Windkessel and Womersley types. HS and HP rats were found to show lower strains on endocardium and epicardium than LS rats. The inhalation of ultrafine zinc particles further reduced the strain in the longitudinal direction on the endocardium of rats with HFpEF, but had relatively small effects on the epicardium. The inhalation of ultrafine zinc particles resulted in the increase of systemic resistance and the decrease of total vascular compliance as well as the increased PWV and induced more severe vascular stiffening in rats with HFpEF. In summary, the inhalation of ultrafine zinc particles deteriorated local myocardial dysfunctions in the LV and the hemodynamic environment in peripheral arteries in rats of HFpEF. This study is of importance to understand the mechanisms of cardiovascular impairments owing to air pollution.
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Affiliation(s)
- Fangbo Bing
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Xuan Wang
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Wenzeng Shen
- College of Medicine, Hebei University, Baoding, China
| | - Li Li
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Pei Niu
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Ying Chen
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.,Shenzhen Graduate School, Peking University, Shenzhen, China
| | - Wenxi Zhang
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Wenchang Tan
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.,Shenzhen Graduate School, Peking University, Shenzhen, China.,PKU-HKUST Shenzhen-Hong Kong Institution, Shenzhen, China
| | - Yunlong Huo
- PKU-HKUST Shenzhen-Hong Kong Institution, Shenzhen, China.,Institute of Mechanobiology and Medical Engineering, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, Shanghai, China
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8
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Huo Y, Kassab GS. Coronary Blood Flow Is Increased in RV Hypertrophy, but the Shape of Normalized Waves Is Preserved Throughout the Arterial Tree. Front Physiol 2018; 9:675. [PMID: 29904356 PMCID: PMC5990630 DOI: 10.3389/fphys.2018.00675] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2017] [Accepted: 05/15/2018] [Indexed: 11/23/2022] Open
Abstract
A pulsatile hemodynamic analysis was carried out in the right coronary arterial (RCA) tree of control and RV hypertrophy (RVH) hearts. The shape of flow and wall shear stress (WSS) waves was hypothesized to be maintained throughout the RCA tree in RVH (i.e., similar patterns of normalized flow and WSS waves in vessels of various sizes). Consequently, we reconstructed the entire RCA tree down to the first capillary bifurcation of control and RVH hearts based on measured morphometric data. A Womersley-type model was used to compute the flow and WSS waves in the tree. The hemodynamic parameters obtained from experimental measurements were incorporated into the numerical model. Given an increased number of arterioles, the mean and amplitude of flow waves at the inlet of RCA tree in RVH was found to be two times larger than that in control, but no significant differences (p > 0.05) were found in precapillary arterioles. The increase of stiffness in RCA of RVH preserved the shape of normalized flow and WSS waves, but increased the PWV in coronary arteries and reduced the phase angle difference for the waves between the most proximal RCA and the most distal precapillary arteriole. The study is important for understanding pulsatile coronary blood flow in ventricular hypertrophy.
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Affiliation(s)
- Yunlong Huo
- PKU-HKUST Shenzhen-Hongkong Institution, Shenzhen, China
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Ghassan S. Kassab
- California Medical Innovations Institute, San Diego, CA, United States
- *Correspondence: Ghassan S. Kassab
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9
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Razavi MS, Shirani E, Kassab GS. Scaling Laws of Flow Rate, Vessel Blood Volume, Lengths, and Transit Times With Number of Capillaries. Front Physiol 2018; 9:581. [PMID: 29875687 PMCID: PMC5974547 DOI: 10.3389/fphys.2018.00581] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2017] [Accepted: 05/01/2018] [Indexed: 11/13/2022] Open
Abstract
The structure-function relation is one of the oldest hypotheses in biology and medicine; i.e., form serves function and function influences form. Here, we derive and validate form-function relations for volume, length, flow, and mean transit time in vascular trees and capillary numbers of various organs and species. We define a vessel segment as a "stem" and the vascular tree supplied by the stem as a "crown." We demonstrate form-function relations between the number of capillaries in a vascular network and the crown volume, crown length, and blood flow that perfuses the network. The scaling laws predict an exponential relationship between crown volume and the number of capillaries with the power, λ, of 4/3 < λ < 3/2. It is also shown that blood flow rate and vessel lengths are proportional to the number of capillaries in the entire stem-crown systems. The integration of the scaling laws then results in a relation between transit time and crown length and volume. The scaling laws are both intra-specific (i.e., within vasculatures of various organs, including heart, lung, mesentery, skeletal muscle and eye) and inter-specific (i.e., across various species, including rats, cats, rabbits, pigs, hamsters, and humans). This study is fundamental to understanding the physiological structure and function of vascular trees to transport blood, with significant implications for organ health and disease.
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Affiliation(s)
- Mohammad S Razavi
- The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, United States.,The Petit Institute for Bioengineering and Bioscience, Georgia Institute of Technology, Atlanta, GA, United States
| | - Ebrahim Shirani
- Department of Engineering, Foolad Institute of Technology, Isfahan, Iran
| | - Ghassan S Kassab
- California Medical Innovations Institute, San Diego, CA, United States
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10
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Feng Y, Wang X, Fan T, Li L, Sun X, Zhang W, Cao M, Liu J, Li J, Huo Y. Bifurcation Asymmetry of Small Coronary Arteries in Juvenile and Adult Mice. Front Physiol 2018; 9:519. [PMID: 29867562 PMCID: PMC5962776 DOI: 10.3389/fphys.2018.00519] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/01/2018] [Accepted: 04/23/2018] [Indexed: 11/13/2022] Open
Abstract
Background: Microvascular bifurcation asymmetry is of significance for regulation of coronary flow heterogeneity during juvenile and adult growth. The aim of the study is to investigate the morphometric and hemodynamic variation of coronary arterial bifurcations in mice of different ages. Methods: Pulsatile blood flows were computed from a Womersley-type model in the reconstructed left coronary arterial (LCA) trees from Micro-CT images in normal mice at ages of 3 weeks, 6 weeks, 12 weeks, 5-6 months, and >8 months. Diameter and flow ratios and bifurcation angles were determined in each bifurcation of the LCA trees. Results: The blood volume and inlet flow rate of LCA trees increase and decrease during juvenile and adult growth, respectively. As vessel diameters decrease, the increased ratios of small to large daughter vessel diameters (Ds/Dl) result in more uniform flows and lower velocities. There are significant structure-functional changes of LCA trees in mice of >8 months compared with mice of < 8 months. As Ds/Dl increases, the variation trend of bifurcation angle during juvenile growth is different from that during adult growth. Conclusions: Although inlet flows are different in adult vs. juvenile mice, the adult still have uniform flow and low velocity. This is accomplished through a decrease in diameter. The design ensures ordered dispersion of red cells through asymmetric branching patterns into the capillaries.
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Affiliation(s)
- Yundi Feng
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Xuan Wang
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Tingting Fan
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Li Li
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Xiaotong Sun
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Wenxi Zhang
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Minglu Cao
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Jian Liu
- Department of Cardiology, Peking University People's Hospital, Beijing, China
| | - Jianping Li
- Department of Cardiology, Peking University First Hospital, Beijing, China
| | - Yunlong Huo
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
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11
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Yin X, Huang X, Li Q, Li L, Niu P, Cao M, Guo F, Li X, Tan W, Huo Y. Hepatic Hemangiomas Alter Morphometry and Impair Hemodynamics of the Abdominal Aorta and Primary Branches From Computer Simulations. Front Physiol 2018; 9:334. [PMID: 29674973 PMCID: PMC5895747 DOI: 10.3389/fphys.2018.00334] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2017] [Accepted: 03/16/2018] [Indexed: 01/25/2023] Open
Abstract
Background: The formation of hepatic hemangiomas (HH) is associated with VEGF and IL-7 that alter conduit arteries and small arterioles. To our knowledge, there are no studies to investigate the effects of HH on the hemodynamics in conduit arteries. The aim of the study is to perform morphometric and hemodynamic analysis in abdominal conduit arteries and bifurcations of HH patients and controls. Methods: Based on morphometry reconstructed from CT images, geometrical models were meshed with prismatic elements for the near wall region and tetrahedral and hexahedral elements for the core region. Simulations were performed for computation of the non-Newtonian blood flow using the Carreau-Yasuda model, based on which multiple hemodynamic parameters were determined. Results: There was an increase of the lumen size, diameter ratio, and curvature in the abdominal arterial tree of HH patients as compared with controls. This significantly increased the surface area ratio of low time-averaged wall shear stress (i.e., SAR-TAWSS =Surface areaTAWSS≤4 dynes·cm−2Total surface area× 100%) (24.1 ± 7.9 vs. 5 ± 6%, 11.6 ± 12.8 vs. < 0.1%, and 44.5 ± 9.2 vs. 21 ± 24% at hepatic bifurcations, common hepatic arteries, and abdominal aortas, respectively, between HH and control patients). Conclusions: Morphometric changes caused by HH significantly deteriorated the hemodynamic environment in abdominal conduit arteries and bifurcations, which could be an important risk factor for the incidence and progression of vascular diseases.
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Affiliation(s)
- Xiaoping Yin
- Department of Radiology, Affiliated Hospital of Hebei University, Hebei University, Baoding, China
| | - Xu Huang
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Qiao Li
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Li Li
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Pei Niu
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Minglu Cao
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Fei Guo
- College of Medicine, Hebei University, Baoding, China
| | - Xuechao Li
- College of Medicine, Hebei University, Baoding, China
| | - Wenchang Tan
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.,PKU-HKUST Shenzhen-Hongkong Institution, Shenzhen, China.,Shenzhen Graduate School, Peking University, Shenzhen, China
| | - Yunlong Huo
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.,College of Medicine, Hebei University, Baoding, China.,PKU-HKUST Shenzhen-Hongkong Institution, Shenzhen, China
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12
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van der Bruggen CE, Tedford RJ, Handoko ML, van der Velden J, de Man FS. RV pressure overload: from hypertrophy to failure. Cardiovasc Res 2017; 113:1423-1432. [DOI: 10.1093/cvr/cvx145] [Citation(s) in RCA: 46] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 03/13/2017] [Accepted: 07/31/2017] [Indexed: 01/31/2023] Open
Affiliation(s)
- Cathelijne E.E. van der Bruggen
- Department of Pulmonology, Amsterdam Cardiovascular Sciences, VU University Medical Center Amsterdam, De Boelelaan 1117, 1081 HV Amsterdam, The Netherlands
| | - Ryan J. Tedford
- Division of Cardiology, Department of Medicine, Medical University of South Carolina, Charleston, SC, USA
| | | | - Jolanda van der Velden
- Department of Physiology, Amsterdam Cardiovascular Sciences, VU University Medical Center Amsterdam, Amsterdam, The Netherlands
| | - Frances S. de Man
- Department of Pulmonology, Amsterdam Cardiovascular Sciences, VU University Medical Center Amsterdam, De Boelelaan 1117, 1081 HV Amsterdam, The Netherlands
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13
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Yao Y, Lu Q, Hu Z, Yu Y, Chen Q, Wang QK. A non-canonical pathway regulates ER stress signaling and blocks ER stress-induced apoptosis and heart failure. Nat Commun 2017; 8:133. [PMID: 28743963 PMCID: PMC5527107 DOI: 10.1038/s41467-017-00171-w] [Citation(s) in RCA: 151] [Impact Index Per Article: 21.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/10/2016] [Accepted: 06/07/2017] [Indexed: 01/20/2023] Open
Abstract
Endoplasmic reticulum stress is an evolutionarily conserved cell stress response associated with numerous diseases, including cardiac hypertrophy and heart failure. The major endoplasmic reticulum stress signaling pathway causing cardiac hypertrophy involves endoplasmic reticulum stress sensor PERK (protein kinase-like kinase) and eIF2α-ATF4-CHOP signaling. Here, we describe a non-canonical, AGGF1-mediated regulatory system for endoplasmic reticulum stress signaling associated with increased p-eIF2α and ATF4 and decreased sXBP1 and CHOP. Specifically, we see a reduced AGGF1 level consistently associated with induction of endoplasmic reticulum stress signaling in mouse models and human patients with heart failure. Mechanistically, AGGF1 regulates endoplasmic reticulum stress signaling by inhibiting ERK1/2 activation, which reduces the level of transcriptional repressor ZEB1, leading to induced expression of miR-183-5p. miR-183-5p post-transcriptionally downregulates CHOP and inhibits endoplasmic reticulum stress-induced apoptosis. AGGF1 protein therapy and miR-183-5p regulate endoplasmic reticulum stress signaling and block endoplasmic reticulum stress-induced apoptosis, cardiac hypertrophy, and heart failure, providing an attractive paradigm for treatment of cardiac hypertrophy and heart failure. Endoplasmic reticulum (ER) stress promotes cardiac dysfunction. Here the authors uncover a pathway whereby AGGF1 blocks ER stress by inhibiting ERK1/2 activation and the transcriptional repressor ZEB1, leading to induction of miR-183-5p and down-regulation of CHOP, and show that AGGF1 can effectively treat cardiac hypertrophy and heart failure.
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Affiliation(s)
- Yufeng Yao
- Key Laboratory of Molecular Biophysics of the Ministry of Education, College of Life Science and Technology and Center for Human Genome Research, Huazhong University of Science and Technology, Wuhan, Hubei Province, 430074, China
| | - Qiulun Lu
- Key Laboratory of Molecular Biophysics of the Ministry of Education, College of Life Science and Technology and Center for Human Genome Research, Huazhong University of Science and Technology, Wuhan, Hubei Province, 430074, China
| | - Zhenkun Hu
- Key Laboratory of Molecular Biophysics of the Ministry of Education, College of Life Science and Technology and Center for Human Genome Research, Huazhong University of Science and Technology, Wuhan, Hubei Province, 430074, China
| | - Yubin Yu
- Key Laboratory of Molecular Biophysics of the Ministry of Education, College of Life Science and Technology and Center for Human Genome Research, Huazhong University of Science and Technology, Wuhan, Hubei Province, 430074, China
| | - Qiuyun Chen
- Department of Molecular Cardiology, Center for Cardiovascular Genetics, Cleveland Clinic, Cleveland, OH, 44195, USA.,Department of Molecular Medicine, CCLCM, Case Western Reserve University, Cleveland, OH, 44195, USA.,Department of Genetics and Genome Sciences, Case Western Reserve University, Cleveland, OH, 44195, USA
| | - Qing K Wang
- Key Laboratory of Molecular Biophysics of the Ministry of Education, College of Life Science and Technology and Center for Human Genome Research, Huazhong University of Science and Technology, Wuhan, Hubei Province, 430074, China. .,Department of Molecular Cardiology, Center for Cardiovascular Genetics, Cleveland Clinic, Cleveland, OH, 44195, USA. .,Department of Molecular Medicine, CCLCM, Case Western Reserve University, Cleveland, OH, 44195, USA. .,Department of Genetics and Genome Sciences, Case Western Reserve University, Cleveland, OH, 44195, USA.
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14
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Alshareef RA, Khuthaila MK, Januwada M, Goud A, Ferrara D, Chhablani J. Choroidal vascular analysis in myopic eyes: evidence of foveal medium vessel layer thinning. Int J Retina Vitreous 2017; 3:28. [PMID: 28560051 PMCID: PMC5446694 DOI: 10.1186/s40942-017-0081-z] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/06/2017] [Accepted: 05/22/2017] [Indexed: 01/25/2023] Open
Abstract
Purpose
To analyse morphologic features of the choroid in Non-pathological myopic eyes using spectral-domain (SD) optical coherence tomography (OCT). Methods Retrospective analysis of enhanced depth SD-OCT images of Non-pathological myopic eyes in comparison with age-matched healthy controls was performed. Choroidal thickness (CT) and large choroidal vessel thickness (LCVT) were measured at the fovea, 750 µm nasally from fovea (N750) and 750 µm temporally (T750) from fovea. Medium choroidal vessel thickness (MCVT) was calculated by subtracting LCVT from CT. Choriocapillaris was encompassed by MCVT, given its reduced thickness. Linear regression analysis evaluated the relationship between age and axial with CT, LCVT and MCVT. Results The study group comprised 42 eyes of 31 patients (mean age 46.13 ± 15.63; 15 females). Control group included 57 eyes of 34 patients (mean age of 42.3 ± 15.29; 24 females). Mean axial length in myopic eyes and control group was 26.57 ± 1.27 and 23.59 ± 0.99 mm respectively. Myopic eyes showed significant thinning of MCVT and CT at all locations (p < 0.0001) compared to controls, unlike LCVT (p > 0.05). With each decade, thinning of up to 37 µm in CT was noted along with thinning of LCVT (up to 22.6 µm) and MCVT (up to 25 µm). Each mm increase in axial length caused 38.2 µm thinning of choroid along with LCVT (<10 µm), however, MCVT showed more notable thinning (>30 µm). Conclusion Significant thinning of MCVT was noted in non-pathological myopic eyes in comparison to healthy subjects. It appears that MCVT has stronger relationship with age and axial length.
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Affiliation(s)
| | - Mohammed K Khuthaila
- Department of Ophthalmology, King Faisal Specialist Hospital and Research Center, Riyadh, Saudi Arabia
| | - Manideepak Januwada
- Srimati Kanuri Santhamma Retina Vitreous Centre, L. V. Prasad Eye Institute, L V Prasad Marg, Banjara Hills, Hyderabad, Telangana 500 034 India
| | - Abhilash Goud
- Srimati Kanuri Santhamma Retina Vitreous Centre, L. V. Prasad Eye Institute, L V Prasad Marg, Banjara Hills, Hyderabad, Telangana 500 034 India
| | - Daniela Ferrara
- Department of Ophthalmology, New England Eye Center, Tufts Medical Center, Boston, MA USA
| | - Jay Chhablani
- Srimati Kanuri Santhamma Retina Vitreous Centre, L. V. Prasad Eye Institute, L V Prasad Marg, Banjara Hills, Hyderabad, Telangana 500 034 India
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15
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Gong Y, Feng Y, Chen X, Tan W, Huo Y, Kassab GS. Intraspecific scaling laws are preserved in ventricular hypertrophy but not in heart failure. Am J Physiol Heart Circ Physiol 2016; 311:H1108-H1117. [PMID: 27542405 PMCID: PMC6347071 DOI: 10.1152/ajpheart.00084.2016] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/26/2016] [Accepted: 08/17/2016] [Indexed: 11/22/2022]
Abstract
It is scientifically and clinically important to understand the structure-function scaling of coronary arterial trees in compensatory (e.g., left and right ventricular hypertrophy, LVH and RVH) and decompensatory vascular remodeling (e.g., congestive heart failure, CHF). This study hypothesizes that intraspecific scaling power laws of vascular trees are preserved in hypertrophic hearts but not in CHF swine hearts. To test the hypothesis, we carried out the scaling analysis based on morphometry and hemodynamics of coronary arterial trees in moderate LVH, severe RVH, and CHF compared with age-matched respective control hearts. The scaling exponents of volume-diameter, length-volume, and flow-diameter power laws in control hearts were consistent with the theoretical predictions (i.e., 3, 7/9, and 7/3, respectively), which remained unchanged in LVH and RVH hearts. The scaling exponents were also preserved with an increase of body weight during normal growth of control animals. In contrast, CHF increased the exponents of volume-diameter and flow-diameter scaling laws to 4.25 ± 1.50 and 3.15 ± 1.49, respectively, in the epicardial arterial trees. This study validates the predictive utility of the scaling laws to diagnose vascular structure and function in CHF hearts to identify the borderline between compensatory and decompensatory remodeling.
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Affiliation(s)
- Yanjun Gong
- Department of Cardiology, Peking University First Hospital, Beijing, China
| | - Yundi Feng
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Xudong Chen
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
| | - Wenchang Tan
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
- State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, China
- Shenzhen Graduate School, Peking University, Shenzhen, China
- PKU-HKUST Shenzhen-Hongkong Institute, Shenzhen, China; and
| | - Yunlong Huo
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China;
- College of Medicine, Hebei University, Baoding, China
- PKU-HKUST Shenzhen-Hongkong Institute, Shenzhen, China; and
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16
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Huo Y, Kassab GS. Remodeling of left circumflex coronary arterial tree in pacing-induced heart failure. J Appl Physiol (1985) 2015; 119:404-11. [PMID: 26159756 DOI: 10.1152/japplphysiol.00262.2015] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2015] [Accepted: 07/06/2015] [Indexed: 11/22/2022] Open
Abstract
Congestive heart failure (CHF) is a very serious heart disease that manifests an imbalance between left ventricle supply and demand. Although the mechanical demand of the failing heart has been well characterized, the systematic remodeling of the entire coronary arterial tree that constitutes the supply of the myocardium is lacking. We hypothesize that the well-known increase in ventricle wall stress during CHF causes coronary vascular rarefaction to increase the vascular flow resistance, which in turn compromises the perfusion of the heart. Morphometric (diameters, length, and numbers) data of the swine left circumflex (LCx) arterial tree were measured in both CHF (n = 6) and control (n = 6) groups, from which a computer reconstruction of the entire LCx tree was implemented down to the capillary level to enable a hemodynamic analysis of coronary circulation. The vascular flow resistance was increased by ∼75% due to a significant decrease of vessel numbers (∼45%) and diameters in the first capillary segments (∼10%) of the LCx arterial tree after 3-4 wk of pacing. The structural remodeling significantly changed the wall shear stress in vessel segments of the entire LCx arterial tree of CHF animals. This study enhances our knowledge of coronary arterial tree remodeling in heart failure, which provides a deeper understanding of the deterioration of supply-demand relation in left ventricle.
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Affiliation(s)
- Yunlong Huo
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China; State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, China; College of Medicine, Hebei University, Baoding, China; and
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17
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Sinclair MD, Lee J, Cookson AN, Rivolo S, Hyde ER, Smith NP. Measurement and modeling of coronary blood flow. WILEY INTERDISCIPLINARY REVIEWS-SYSTEMS BIOLOGY AND MEDICINE 2015; 7:335-56. [PMID: 26123867 DOI: 10.1002/wsbm.1309] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/18/2015] [Revised: 05/19/2015] [Accepted: 05/21/2015] [Indexed: 01/10/2023]
Abstract
Ischemic heart disease that comprises both coronary artery disease and microvascular disease is the single greatest cause of death globally. In this context, enhancing our understanding of the interaction of coronary structure and function is not only fundamental for advancing basic physiology but also crucial for identifying new targets for treating these diseases. A central challenge for understanding coronary blood flow is that coronary structure and function exhibit different behaviors across a range of spatial and temporal scales. While experimental studies have sought to understand this feature by isolating specific mechanisms, in tandem, computational modeling is increasingly also providing a unique framework to integrate mechanistic behaviors across different scales. In addition, clinical methods for assessing coronary disease severity are continuously being informed and updated by findings in basic physiology. Coupling these technologies, computational modeling of the coronary circulation is emerging as a bridge between the experimental and clinical domains, providing a framework to integrate imaging and measurements from multiple sources with mathematical descriptions of governing physical laws. State-of-the-art computational modeling is being used to combine mechanistic models with data to provide new insight into coronary physiology, optimization of medical technologies, and new applications to guide clinical practice.
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Affiliation(s)
- Matthew D Sinclair
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK
| | - Jack Lee
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK
| | - Andrew N Cookson
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK
| | - Simone Rivolo
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK
| | - Eoin R Hyde
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK
| | - Nicolas P Smith
- Division of Imaging Sciences and Biomedical Engineering, British Heart Foundation (BHF) Centre of Excellence, King's College London, London, UK.,Department of Engineering, University of Auckland, Auckland, New Zealand
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18
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Zheng L, Han P, Liu J, Li R, Yin W, Wang T, Zhang W, Kang YJ. Role of copper in regression of cardiac hypertrophy. Pharmacol Ther 2014; 148:66-84. [PMID: 25476109 DOI: 10.1016/j.pharmthera.2014.11.014] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/17/2014] [Accepted: 11/17/2014] [Indexed: 02/07/2023]
Abstract
Pressure overload causes an accumulation of homocysteine in the heart, which is accompanied by copper depletion through the formation of copper-homocysteine complexes and the excretion of the complexes. Copper supplementation recovers cytochrome c oxidase (CCO) activity and promotes myocardial angiogenesis, along with the regression of cardiac hypertrophy and the recovery of cardiac contractile function. Increased copper availability is responsible for the recovery of CCO activity. Copper promoted expression of angiogenesis factors including vascular endothelial growth factor (VEGF) in endothelial cells is responsible for angiogenesis. VEGF receptor-2 (VEGFR-2) is critical for hypertrophic growth of cardiomyocytes and VEGFR-1 is essential for the regression of cardiomyocyte hypertrophy. Copper, through promoting VEGF production and suppressing VEGFR-2, switches the VEGF signaling pathway from VEGFR-2-dependent to VEGFR-1-dependent, leading to the regression of cardiomyocyte hypertrophy. Copper is also required for hypoxia-inducible factor-1 (HIF-1) transcriptional activity, acting on the interaction between HIF-1 and the hypoxia responsible element and the formation of HIF-1 transcriptional complex by inhibiting the factor inhibiting HIF-1. Therefore, therapeutic targets for copper supplementation-induced regression of cardiac hypertrophy include: (1) the recovery of copper availability for CCO and other critical cellular events; (2) the activation of HIF-1 transcriptional complex leading to the promotion of angiogenesis in the endothelial cells by VEGF and other factors; (3) the activation of VEGFR-1-dependent regression signaling pathway in the cardiomyocytes; and (4) the inhibition of VEGFR-2 through post-translational regulation in the hypertrophic cardiomyocytes. Future studies should focus on target-specific delivery of copper for the development of clinical application.
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Affiliation(s)
- Lily Zheng
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Pengfei Han
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Jiaming Liu
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Rui Li
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Wen Yin
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Tao Wang
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Wenjing Zhang
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China
| | - Y James Kang
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, Sichuan 610041, PR China; Department of Pharmacology and Toxicology, University of Louisville, Louisville, KY 40292, USA.
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19
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Huo Y, Zhao X, Cheng Y, Lu X, Kassab GS. Two-layer model of coronary artery vasoactivity. J Appl Physiol (1985) 2013; 114:1451-9. [PMID: 23471951 DOI: 10.1152/japplphysiol.01237.2012] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
Abstract
Since vascular tone is regulated by smooth muscle cells in the media layer, a multilayer mechanical model is required for blood vessels. Here, we performed biaxial mechanical tests in the intima-media layer of right coronary artery to determine the passive and active properties in conjunction with the passive properties of adventitia for a full vessel wall model. A two-layer (intima-media and adventitia) model was developed to determine the transmural stress and stretch across the vessel wall. The mean ± SE values of the outer diameters of intima-media layers at transmural pressure of 60 mmHg in active state were 3.17 ± 0.16 and 3.07 ± 0.18 mm at axial stretch ratio of 1.2 and 1.3, respectively, which were significantly smaller than those in passive state (i.e., 3.62 ± 0.19 and 3.49 ± 0.22 mm, respectively, P < 0.05). The inner and outer diameters in no-load state of intima-media layers were 1.17 ± 0.09 and 2.08 ± 0.09 mm, respectively. The opening angles in zero-stress state had values of 159 ± 21° for intima-media layers and 98 ± 15° for adventitia layers, which suggests a residual strain between the two layers. There were slightly decreased active circumferential stresses (<10%), but significantly decreased active axial stresses (>25%) in the intima-media layer compared with those in the intact vessel. This suggests that the adventitia layer affects vascular contraction. The two-layer analysis showed that the intima-media layer bears the majority of circumferential tensions, in contrast to the adventitia layer, while contraction results in decreased stress and stretch in both layers.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA
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20
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Hou J, Kang YJ. Regression of pathological cardiac hypertrophy: signaling pathways and therapeutic targets. Pharmacol Ther 2012; 135:337-54. [PMID: 22750195 DOI: 10.1016/j.pharmthera.2012.06.006] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/11/2012] [Accepted: 06/12/2012] [Indexed: 02/05/2023]
Abstract
Pathological cardiac hypertrophy is a key risk factor for heart failure. It is associated with increased interstitial fibrosis, cell death and cardiac dysfunction. The progression of pathological cardiac hypertrophy has long been considered as irreversible. However, recent clinical observations and experimental studies have produced evidence showing the reversal of pathological cardiac hypertrophy. Left ventricle assist devices used in heart failure patients for bridging to transplantation not only improve peripheral circulation but also often cause reverse remodeling of the geometry and recovery of the function of the heart. Dietary supplementation with physiologically relevant levels of copper can reverse pathological cardiac hypertrophy in mice. Angiogenesis is essential and vascular endothelial growth factor (VEGF) is a constitutive factor for the regression. The action of VEGF is mediated by VEGF receptor-1, whose activation is linked to cyclic GMP-dependent protein kinase-1 (PKG-1) signaling pathways, and inhibition of cyclic GMP degradation leads to regression of pathological cardiac hypertrophy. Most of these pathways are regulated by hypoxia-inducible factor. Potential therapeutic targets for promoting the regression include: promotion of angiogenesis, selective enhancement of VEGF receptor-1 signaling pathways, stimulation of PKG-1 pathways, and sustention of hypoxia-inducible factor transcriptional activity. More exciting insights into the regression of pathological cardiac hypertrophy are emerging. The time of translating the concept of regression of pathological cardiac hypertrophy to clinical practice is coming.
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Affiliation(s)
- Jianglong Hou
- Regenerative Medicine Research Center, West China Hospital, Sichuan University, Chengdu, China
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21
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Compensatory remodeling of coronary microvasculature maintains shear stress in porcine left-ventricular hypertrophy. J Hypertens 2012; 30:608-16. [PMID: 22252479 DOI: 10.1097/hjh.0b013e32834f44dd] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
Abstract
BACKGROUND Hypertension-induced left-ventricular hypertrophy (LVH) is generally accompanied with coronary neovascularization. The extent of vascular growth or rarefaction depends on many factors (e.g. age, duration of hypertension, degree of hypertrophy). Here, we hypothesize that there is a compensatory vascular growth that maintains uniform wall shear stress (WSS) in perfusion arterioles (diameters of 8-60 μm) in LVH of young porcine. METHOD To test this hypothesis, we investigated LVH in young porcine after 5 weeks of supravalvular aortic stenosis (3 months of age). The morphometry (diameters, lengths, number and connectivity of vessels) of the entire left circumflex (LCx) arterial tree was determined and a hemodynamic network analysis was used to calculate the distribution of pressure, flow and WSS throughout the tree in the control and LVH groups. RESULTS It was found that the number of vessels and the weight of left ventricle (LV) in hypertrophy increased 1.5 and 1.2 times, respectively, and the length of the LCx main trunk increased by 3 cm (36% increase), as compared with those in control group. There were similar myocardial blood flows of 0.87 ± 0.24 and 0.94 ± 0.38 ml/min per g in control and LVH hearts, respectively. The compensatory remodeling in early LVH restores WSS in the smaller perfusion arterioles, but not in the larger epicardial branches. CONCLUSION The present findings quantify the structural and functional remodeling in the entire LCx arterial tree in response to LVH, which reflect heterogeneity in vascular morphometry and hemodynamics from small to large vessels. These conclusions enhance our understanding of compensatory vascular remodeling in LVH of pediatric heart.
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22
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Abstract
A fundamental physics-based derivation of intraspecific scaling laws of vascular trees has not been previously realized. Here, we provide such a theoretical derivation for the volume-diameter and flow-length scaling laws of intraspecific vascular trees. In conjunction with the minimum energy hypothesis, this formulation also results in diameter-length, flow-diameter and flow-volume scaling laws. The intraspecific scaling predicts the volume-diameter power relation with a theoretical exponent of 3, which is validated by the experimental measurements for the three major coronary arterial trees in swine (where a least-squares fit of these measurements has exponents of 2.96, 3 and 2.98 for the left anterior descending artery, left circumflex artery and right coronary artery trees, respectively). This scaling law as well as others agrees very well with the measured morphometric data of vascular trees in various other organs and species. This study is fundamental to the understanding of morphological and haemodynamic features in a biological vascular tree and has implications for vascular disease.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering and Surgery, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202, USA
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23
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Lu X, Dang CQ, Guo X, Molloi S, Wassall CD, Kemple MD, Kassab GS. Elevated oxidative stress and endothelial dysfunction in right coronary artery of right ventricular hypertrophy. J Appl Physiol (1985) 2011; 110:1674-81. [PMID: 21415175 PMCID: PMC3119132 DOI: 10.1152/japplphysiol.00744.2009] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2009] [Accepted: 03/10/2011] [Indexed: 11/22/2022] Open
Abstract
Remodeling of right coronary artery (RCA) occurs during right ventricular hypertrophy (RVH) induced by banding of the pulmonary artery (PA). The effect of RVH on RCA endothelial function and reactive oxygen species (ROS) in vessel wall remains unclear. A swine RVH model (n = 12 pigs) induced by PA banding was used to study RCA endothelial function and ROS level. To obtain longitudinal coronary hemodynamic and geometric data, digital subtraction angiography was used during the progression of RVH. Blood flow in the RCA increased by 82% and lumen diameter of RCA increased by 22% over a 4-wk period of RVH. The increase in blood flow and the commensurate increase in diameter resulted in a constant wall shear stress in RCA throughout the RVH period. ROS was elevated by ∼100% in RCA after 4 wk of PA banding. The expressions of p47(phox), NADPH oxidase (NOX1, NOX2, and NOX4) were upregulated in the range of 20-300% in RCA of RVH. The endothelial function was compromised in RCA of RVH as attributed to insufficient endothelial nitric oxide synthase cofactor tetrahydrobiopterin. In vivo angiographic analysis suggests an increased basal tone in the RCA during RVH. In conclusion, stretch due to outward remodeling of RCA during RVH (at constant wall shear stress), similar to vessel stretch in hypertension, appears to induce ROS elevation, endothelial dysfunction, and an increase in basal tone.
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MESH Headings
- Analysis of Variance
- Angiography, Digital Subtraction
- Animals
- Biopterins/analogs & derivatives
- Biopterins/metabolism
- Coronary Circulation/drug effects
- Coronary Vessels/drug effects
- Coronary Vessels/metabolism
- Coronary Vessels/physiopathology
- Disease Models, Animal
- Dose-Response Relationship, Drug
- Electron Spin Resonance Spectroscopy
- Endothelium, Vascular/drug effects
- Endothelium, Vascular/metabolism
- Endothelium, Vascular/physiopathology
- Hemodynamics/drug effects
- Hypertrophy, Right Ventricular/diagnostic imaging
- Hypertrophy, Right Ventricular/metabolism
- Hypertrophy, Right Ventricular/physiopathology
- Microscopy, Confocal
- NADPH Oxidases/metabolism
- Nitric Oxide/metabolism
- Nitric Oxide Synthase Type III/metabolism
- Oxidative Stress
- Reactive Oxygen Species/metabolism
- Stress, Mechanical
- Swine
- Time Factors
- Up-Regulation
- Vasoconstriction
- Vasodilation
- Vasodilator Agents/pharmacology
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Affiliation(s)
- Xiao Lu
- Dept. of Biomedical Engineering, Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN 46202, USA
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24
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Huo Y, Kaimovitz B, Lanir Y, Wischgoll T, Hoffman JIE, Kassab GS. Biophysical model of the spatial heterogeneity of myocardial flow. Biophys J 2009; 96:4035-43. [PMID: 19450475 DOI: 10.1016/j.bpj.2009.02.047] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/16/2009] [Revised: 01/16/2009] [Accepted: 02/24/2009] [Indexed: 10/20/2022] Open
Abstract
The blood flow in the myocardium has significant spatial heterogeneity. The objective of this study was to develop a biophysical model based on detailed anatomical data to determine the heterogeneity of regional myocardial flow during diastole. The model predictions were compared with experimental measurements in a diastolic porcine heart in the absence of vessel tone using nonradioactive fluorescent microsphere measurements. The results from the model and experimental measurements showed good agreement. The relative flow dispersion in the arrested, vasodilated heart was found to be 44% and 48% numerically and experimentally, respectively. Furthermore, the flow dispersion was found to have fractal characteristics with fractal dimensions (D) of 1.25 and 1.27 predicted by the model and validated by the experiments, respectively. This validated three-dimensional model of normal diastolic heart will play an important role in elucidating the spatial heterogeneity of coronary blood flow, and serve as a foundation for understanding the interplay between cardiac mechanics and coronary hemodynamics.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Surgery, and Cellular and Integrative Physiology, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, USA
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25
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Huo Y, Kassab GS. Effect of compliance and hematocrit on wall shear stress in a model of the entire coronary arterial tree. J Appl Physiol (1985) 2009; 107:500-5. [PMID: 19541733 PMCID: PMC2724323 DOI: 10.1152/japplphysiol.91013.2008] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2008] [Accepted: 06/12/2009] [Indexed: 11/22/2022] Open
Abstract
A hemodynamic analysis is implemented in the entire coronary arterial tree of diastolically arrested, vasodilated pig heart that takes into account vessel compliance and blood viscosity in each vessel of a large-scale simulation involving millions of vessels. The feed hematocrit (Hct) is varied at the inlet of the coronary arterial tree, and the Fahraeus-Lindqvist effect and phase separation are considered throughout the vasculature. The major findings are as follows: 1) vessel compliance is the major determinant of nonlinearity of the pressure-flow relation, and 2) changes in Hct influence wall shear stress (WSS) in epicardial coronary arteries more significantly than in transmural and perfusion arterioles because of the Fahraeus-Lindqvist effect. The present study predicts the flow rate as a second-order polynomial function of inlet pressure due to vessel compliance. WSS in epicardial coronary arteries increases >15% with an increase of feed Hct from 45% to 60% and decreases >15% with a decrease of feed Hct from 45% to 30%, whereas WSS in small arterioles is not affected as feed Hct changes in this range. These findings have important implications for acute Hct changes under vasodilated conditions.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Surgery, and Cellular and Integrative Physiology, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202, USA
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26
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Huo Y, Kassab GS. The scaling of blood flow resistance: from a single vessel to the entire distal tree. Biophys J 2009; 96:339-46. [PMID: 19167287 DOI: 10.1016/j.bpj.2008.09.038] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2008] [Accepted: 09/22/2008] [Indexed: 10/21/2022] Open
Abstract
Although the flow resistance of a single vessel segment is easy to compute, the equivalent resistance of a network of vessel segments or the entire vasculature of an organ is difficult to determine in an analytic form. Here, we propose what we believe is a novel resistance scaling law for a vascular tree (i.e., the resistance of a vessel segment scales with the equivalent resistance of the corresponding distal tree). The formulation can be written as (R(s)/R(c)) proportional, variant(L(s)/L(c)) (where R(s) and L(s) are the resistance and length of a vessel segment, respectively, and R(c) and L(c) are the equivalent resistance and total length of the corresponding distal tree, respectively), which was validated for the coronary vascular systems of the heart. The scaling law was also shown to apply to the vascular systems of the lung, mesentery, muscle, eye, and so on. The novel resistance scaling law, coupled with the 3/4-power scaling law for metabolic rates, can predict several structure-function relations of vascular trees, albeit with a different exponent. In particular, the self-similar nature of the scaling law may serve as a diagnostic tool with the help of noninvasive imaging modalities.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Surgery, and Cellular and Integrative Physiology, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, USA
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27
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Huo Y, Kassab GS. A scaling law of vascular volume. Biophys J 2009; 96:347-53. [PMID: 19167288 DOI: 10.1016/j.bpj.2008.09.039] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2008] [Accepted: 09/17/2008] [Indexed: 01/17/2023] Open
Abstract
Vascular volume is of fundamental significance to the function of the cardiovascular system. An accurate prediction of blood volume in patients is physiologically and clinically significant. This study proposes what we believe is a novel volume scaling relation of the form: V(c)=K(v)D(s)(2/3)L(c), where V(c) and L(c) are cumulative vessel volume and length, respectively, in the tree, and D(s) is the diameter of the vessel segment. The scaling relation is validated in vascular trees of various organs including the heart, lung, mesentery, muscle, and eye of different species. Based on the minimum energy hypothesis and volume scaling relation, four structure-function scaling relations are predicted, including the diameter-length, volume-length, flow-diameter, and volume-diameter relations, with exponent values of 3/7, 1(2/7), 2(1/3), and 3, respectively. These four relations are validated in the various vascular trees, which further confirm the volume scaling relation. This scaling relation may serve as a control reference to estimate the blood volume in various organs and species. The deviation from the scaling relation may indicate hypovolemia or hypervolemia and aid diagnosis.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Surgery, and Cellular and Integrative Physiology, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, USA
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28
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Kaimovitz B, Huo Y, Lanir Y, Kassab GS. Diameter asymmetry of porcine coronary arterial trees: structural and functional implications. Am J Physiol Heart Circ Physiol 2007; 294:H714-23. [PMID: 18055515 DOI: 10.1152/ajpheart.00818.2007] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The coronary vasculature is characterized by highly asymmetric diameters at bifurcations, which may be an important determinant of flow distribution. To facilitate accurate reconstruction of the coronary network for hemodynamic analysis, we introduce a statistical data set of the diameter asymmetry at bifurcations based on morphometric data of the porcine coronary arterial and venous trees. The bifurcation asymmetry data were represented by the diameter ratio of the daughters relative to mother vessel and by an area expansion ratio (AER) at each bifurcation. A novel asymmetry ratio matrix was introduced to describe the diameter asymmetry of daughters to mother vessels. The relations between AER and flow velocity, and asymmetry ratio matrix and flow distribution, were considered. The results indicate that the ratio of large daughter to mother vessel has a minimum value at order 5 (mean diameter of approximately 70 microm), whereas the ratio of small daughter to mother vessel decreases monotonically with increase in order number. The AER was found to be fairly uniform for larger vessels and to increase from order 5 toward the capillaries. At order 5, we observe a transition in asymmetric bifurcation pattern that may mark a hemodynamic transition from transmural to perfusion subnetworks. The functional implications of these structural transitions are considered.
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Affiliation(s)
- Benjamin Kaimovitz
- Faculty of Biomedical Engineering, Technion-Israel Institute of Technology, Haifa, Israel
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29
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Huo Y, Wischgoll T, Kassab GS. Flow patterns in three-dimensional porcine epicardial coronary arterial tree. Am J Physiol Heart Circ Physiol 2007; 293:H2959-70. [PMID: 17827262 DOI: 10.1152/ajpheart.00586.2007] [Citation(s) in RCA: 77] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The branching pattern of epicardial coronary arteries is clearly three-dimensional, with correspondingly complex flow patterns. The objective of the present study was to perform a detailed hemodynamic analysis using a three-dimensional finite element method in a left anterior descending (LAD) epicardial arterial tree, including main trunk and primary branches, based on computed tomography scans. The inlet LAD flow velocity was measured in an anesthetized pig, and the outlet pressure boundary condition was estimated based on scaling laws. The spatial and temporal wall shear stress (WSS), gradient of WSS (WSSG), and oscillatory shear index (OSI) were calculated and used to identify regions of flow disturbances in the vicinity of primary bifurcations. We found that low WSS and high OSI coincide with disturbed flows (stagnated, secondary, and reversed flows) opposite to the flow divider and lateral to the junction orifice of the main trunk and primary branches. High time-averaged WSSG occurs in regions of bifurcations, with the flow divider having maximum values. Low WSS and high OSI were found to be related through a power law relationship. Furthermore, zones of low time-averaged WSS and high OSI amplified for larger diameter ratio and high inlet flow rate. Hence, different focal atherosclerotic-prone regions may be explained by different physical mechanism associated with certain critical levels of low WSS, high OSI, and high WSSG, which are strongly affected by the diameter ratio. The implications of the flow patterns for atherogenesis are enumerated.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Indiana University Purdue University, Indianapolis, IN 46202, USA
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30
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Huo Y, Kassab GS. A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree. Am J Physiol Heart Circ Physiol 2007; 292:H2623-33. [PMID: 17208998 DOI: 10.1152/ajpheart.00987.2006] [Citation(s) in RCA: 63] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Using a frequency-domain Womersley-type model, we previously simulated pulsatile blood flow throughout the coronary arterial tree. Although this model represents a good approximation for the smaller vessels, it does not take into account the nonlinear convective energy losses in larger vessels. Here, using Womersley's theory, we present a hybrid model that considers the nonlinear effects for the larger epicardial arteries while simulating the distal vessels (down to the 1st capillary segments) with the use of Womersley's Theory. The main trunk and primary branches were discretized and modeled with one-dimensional Navier-Stokes equations, while the smaller-diameter vessels were treated as Womersley-type vessels. Energy losses associated with vessel bifurcations were incorporated in the present analysis. The formulation enables prediction of impedance and pressure and pulsatile flow distribution throughout the entire coronary arterial tree down to the first capillary segments in the arrested, vasodilated state. We found that the nonlinear convective term is negligible and the loss of energy at a bifurcation is small in the larger epicardial vessels of an arrested heart. Furthermore, we found that the flow waves along the trunk or at the primary branches tend to scale (normalized with respect to their mean values) to a single curve, except for a small phase angle difference. Finally, the model predictions for the inlet pressure and flow waves are in excellent agreement with previously published experimental results. This hybrid one-dimensional/Womersley model is an efficient approach that captures the essence of the hemodynamics of a complex large-scale vascular network. The present model has numerous applications to understanding the dynamics of coronary circulation.
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Affiliation(s)
- Yunlong Huo
- Department of Biomedical Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA
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