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Seymour RS, Hu Q, Snelling EP, White CR. Interspecific scaling of blood flow rates and arterial sizes in mammals. ACTA ACUST UNITED AC 2019; 222:jeb.199554. [PMID: 30877224 DOI: 10.1242/jeb.199554] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2019] [Accepted: 03/07/2019] [Indexed: 01/16/2023]
Abstract
This meta-study investigated the relationships between blood flow rate (Q̇; cm3 s-1), wall shear stress (τw; dyn cm-2) and lumen radius (r i; cm) in 20 named systemic arteries of nine species of mammals, ranging in mass from 23 g mice to 652 kg cows, at rest. In the dataset, derived from 50 studies, lumen radius varied between 3.7 µm in a cremaster artery of a rat and 11.2 mm in the aorta of a human. The 92 logged data points of [Formula: see text] and r i are described by a single second-order polynomial curve with the equation: [Formula: see text] The slope of the curve increased from approximately 2 in the largest arteries to approximately 3 in the smallest ones. Thus, da Vinci's rule ([Formula: see text]) applies to the main arteries and Murray's law ([Formula: see text]) applies to the microcirculation. A subset of the data, comprising only cephalic arteries in which [Formula: see text] is fairly constant, yielded the allometric power equation: [Formula: see text] These empirical equations allow calculation of resting perfusion rates from arterial lumen size alone, without reliance on theoretical models or assumptions on the scaling of wall shear stress in relation to body mass. As expected, [Formula: see text] of individual named arteries is strongly affected by body mass; however, [Formula: see text] of the common carotid artery from six species (mouse to horse) is also sensitive to differences in whole-body basal metabolic rate, independent of the effect of body mass.
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Affiliation(s)
- Roger S Seymour
- School of Biological Sciences, Faculty of Sciences, University of Adelaide, Adelaide, SA 5005, Australia
| | - Qiaohui Hu
- School of Biological Sciences, Faculty of Sciences, University of Adelaide, Adelaide, SA 5005, Australia
| | - Edward P Snelling
- Department of Anatomy and Physiology, Faculty of Veterinary Science, University of Pretoria, Onderstepoort, Gauteng 0110, South Africa.,Brain Function Research Group, School of Physiology, Faculty of Health Sciences, University of the Witwatersrand, Johannesburg, Gauteng 2193, South Africa
| | - Craig R White
- Centre for Geometric Biology, School of Biological Sciences, Faculty of Science, Monash University, Clayton, VIC 3800, Australia
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Lee HJ, Hong JS, Lin CJ, Kao YH, Chang FC, Luo CB, Chu WF. Automatic flow analysis of digital subtraction angiography using independent component analysis in patients with carotid stenosis. PLoS One 2017; 12:e0185330. [PMID: 28949999 PMCID: PMC5614569 DOI: 10.1371/journal.pone.0185330] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2017] [Accepted: 09/11/2017] [Indexed: 11/19/2022] Open
Abstract
PURPOSE Current time-density curve analysis of digital subtraction angiography (DSA) provides intravascular flow information but requires manual vasculature selection. We developed an angiographic marker that represents cerebral perfusion by using automatic independent component analysis. MATERIALS AND METHODS We retrospectively analyzed the data of 44 patients with unilateral carotid stenosis higher than 70% according to North American Symptomatic Carotid Endarterectomy Trial criteria. For all patients, magnetic resonance perfusion (MRP) was performed one day before DSA. Fixed contrast injection protocols and DSA acquisition parameters were used before stenting. The cerebral circulation time (CCT) was defined as the difference in the time to peak between the parietal vein and cavernous internal carotid artery in a lateral angiogram. Both anterior-posterior and lateral DSA views were processed using independent component analysis, and the capillary angiogram was extracted automatically. The full width at half maximum of the time-density curve in the capillary phase in the anterior-posterior and lateral DSA views was defined as the angiographic mean transient time (aMTT; i.e., aMTTAP and aMTTLat). The correlations between the degree of stenosis, CCT, aMTTAP and aMTTLat, and MRP parameters were evaluated. RESULTS The degree of stenosis showed no correlation with CCT, aMTTAP, aMTTLat, or any MRP parameter. CCT showed a strong correlation with aMTTAP (r = 0.67) and aMTTLat (r = 0.72). Among the MRP parameters, CCT showed only a moderate correlation with MTT (r = 0.67) and Tmax (r = 0.40). aMTTAP showed a moderate correlation with Tmax (r = 0.42) and a strong correlation with MTT (r = 0.77). aMTTLat also showed similar correlations with Tmax (r = 0.59) and MTT (r = 0.73). CONCLUSION Apart from vascular anatomy, aMTT estimates brain parenchyma hemodynamics from DSA and is concordant with MRP. This process is completely automatic and provides immediate measurement of quantitative peritherapeutic brain parenchyma changes during stenting.
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Affiliation(s)
- Han-Jui Lee
- Department of Radiology, Taipei Veterans General Hospital, Taipei, Taiwan
- School of Medicine, National Yang-Ming University, Taipei, Taiwan
| | - Jia-Sheng Hong
- Department of Biomedical Imaging and Radiological Sciences, National Yang-Ming University, Taipei, Taiwan
| | - Chung-Jung Lin
- Department of Radiology, Taipei Veterans General Hospital, Taipei, Taiwan
- School of Medicine, National Yang-Ming University, Taipei, Taiwan
| | - Yi-Hsuan Kao
- Department of Biomedical Imaging and Radiological Sciences, National Yang-Ming University, Taipei, Taiwan
| | - Feng-Chi Chang
- Department of Radiology, Taipei Veterans General Hospital, Taipei, Taiwan
- School of Medicine, National Yang-Ming University, Taipei, Taiwan
| | - Chao-Bao Luo
- Department of Radiology, Taipei Veterans General Hospital, Taipei, Taiwan
- School of Medicine, National Yang-Ming University, Taipei, Taiwan
| | - Wei-Fa Chu
- Department of Radiology, Taipei Veterans General Hospital, Taipei, Taiwan
- School of Medicine, National Yang-Ming University, Taipei, Taiwan
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Seymour RS, Angove SE, Snelling EP, Cassey P. Scaling of cerebral blood perfusion in primates and marsupials. ACTA ACUST UNITED AC 2015; 218:2631-40. [PMID: 26113137 DOI: 10.1242/jeb.124826] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2015] [Accepted: 06/17/2015] [Indexed: 11/20/2022]
Abstract
The evolution of primates involved increasing body size, brain size and presumably cognitive ability. Cognition is related to neural activity, metabolic rate and rate of blood flow to the cerebral cortex. These parameters are difficult to quantify in living animals. This study shows that it is possible to determine the rate of cortical brain perfusion from the size of the internal carotid artery foramina in skulls of certain mammals, including haplorrhine primates and diprotodont marsupials. We quantify combined blood flow rate in both internal carotid arteries as a proxy of brain metabolism in 34 species of haplorrhine primates (0.116-145 kg body mass) and compare it to the same analysis for 19 species of diprotodont marsupials (0.014-46 kg). Brain volume is related to body mass by essentially the same exponent of 0.70 in both groups. Flow rate increases with haplorrhine brain volume to the 0.95 power, which is significantly higher than the exponent (0.75) expected for most organs according to 'Kleiber's Law'. By comparison, the exponent is 0.73 in marsupials. Thus, the brain perfusion rate increases with body size and brain size much faster in primates than in marsupials. The trajectory of cerebral perfusion in primates is set by the phylogenetically older groups (New and Old World monkeys, lesser apes) and the phylogenetically younger groups (great apes, including humans) fall near the line, with the highest perfusion. This may be associated with disproportionate increases in cortical surface area and mental capacity in the highly social, larger primates.
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Affiliation(s)
- Roger S Seymour
- School of Biological Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - Sophie E Angove
- School of Biological Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - Edward P Snelling
- School of Biological Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
| | - Phillip Cassey
- School of Biological Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
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Lin CJ, Chang FC, Guo WY, Hung SC, Luo CB, Beilner J, Kowarschik M, Chu WF. Changes of time-attenuation curve blood flow parameters in patients with and without carotid stenosis. AJNR Am J Neuroradiol 2015; 36:1176-81. [PMID: 25721077 DOI: 10.3174/ajnr.a4239] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2014] [Accepted: 12/01/2014] [Indexed: 11/07/2022]
Abstract
BACKGROUND AND PURPOSE From the time-attenuation curves of DSA flow parameters, maximal intensity, maximal slope, and full width at half maximum of selected vascular points are defined. The study explores the reliability of defining the flow parameters by the time-attenuation curves of DSA. MATERIALS AND METHODS Seventy patients with unilateral carotid artery stenosis (group A) and 56 healthy controls (group B) were retrospectively enrolled. Fixed contrast injection protocols and DSA acquisition parameters were used with all patients. The M1, sigmoid sinus, and internal jugular vein on anteroposterior view DSA and the M2, parietal vein, and superior sagittal sinus on lateral view DSA were chosen as ROI targets for measuring flow parameters. The difference of time of maximal intensity between 2 target points was defined as the circulation time between the target points. RESULTS The maximal intensity difference of 2 selected points from the ICA to the M1, sigmoid sinus, internal jugular vein, M2, parietal vein, and superior sagittal sinus was significantly longer in group A than in group B. The maximum slope of M1, M2, and the superior sagittal sinus was significantly lower in group A than in group B. The full width at half maximum of M1 and M2 was significantly larger in group A than in group B. The maximal slope of M1 demonstrated the best diagnostic performance. CONCLUSIONS The maximal intensity difference of 2 selected points derived from DSA can be used as a definitive alternative flow parameter for intracranial circulation time measurement. Maximal slope and full width at half maximum complement the maximal intensity difference of 2 selected points in defining flow characteristics of healthy subjects and patients with carotid stenosis.
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Affiliation(s)
- C-J Lin
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan School of Medicine (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L.), National Yang-Ming University, Taipei, Taiwan
| | - F-C Chang
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan School of Medicine (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L.), National Yang-Ming University, Taipei, Taiwan
| | - W-Y Guo
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan School of Medicine (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L.), National Yang-Ming University, Taipei, Taiwan
| | - S-C Hung
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan School of Medicine (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L.), National Yang-Ming University, Taipei, Taiwan
| | - C-B Luo
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan School of Medicine (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L.), National Yang-Ming University, Taipei, Taiwan
| | - J Beilner
- Angiography and Interventional X-Ray Systems (J.B.), Siemens Ltd China, Healthcare Sector, Shanghai, P.R. China
| | - M Kowarschik
- Angiography and Interventional X-Ray Systems (M.K.), Siemens AG, Healthcare Sector, Erlangen, Germany
| | - W-F Chu
- From the Department of Radiology (C.-J.L., F.-C.C., W.-Y.G., S.-C.H., C.-B.L., W.-F.C.), Taipei Veterans General Hospital, Taipei, Taiwan
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