Skip to main content
BioMedical Engineering OnLine logoLink to BioMedical Engineering OnLine
. 2016 Jun 27;15:67. doi: 10.1186/s12938-016-0202-1

Local blood pressure associates with the degree of luminal stenosis in patients with atherosclerotic disease in the middle cerebral artery

Yuanliang Jiang 1, Wenjia Peng 1,2, Zhongzhao Teng 2,3,, Jonathan H Gillard 2, Bo Hong 4, Qi Liu 1, Jianping Lu 1,
PMCID: PMC4924238  PMID: 27349223

Abstract

The mechanism underlying atherosclerotic ischemic events within the middle cerebral artery (MCA) is unclear. High structural stress induced by blood pressure might be a potential aetiology as plaque rupture occurs when such mechanical loading exceeds its material strength. To perform reliable analyses quantifying the mechanical loading within a plaque, the local blood pressure is needed. However, data on MCA blood pressure is currently lacking. In this study, the arterial pressure proximal to the stenotic site in the MCA was measured in 15 patients scheduled for intervention. The relationships between these local measurements and pre-intervention and intra-intervention non-invasive arm measurements were assessed. The impact of luminal stenosis on the local blood pressure was quantified. Compared with the pre-intervention arm measurement, the intra-intervention arm pressure decreased significantly by 23.9 ± 11.8 and 9.3 ± 14.7 % at diastole and systole, respectively. The pressure proximal to the stenosis was much lower than the pre-intervention arm measurement (diastole: 65.3 ± 15.7 vs 82.0 ± 9.7, p < 0.01; systole: 81.1 ± 15.9 vs 133.9 ± 18.7, p < 0.01; unit: mmHg). The systolic pressure in the MCA in patients with stenosis <70 % (n = 6) was significantly higher than the value in patients with stenosis ≥70 % (n = 9) (92.0 ± 7.3 vs 73.9 ± 16.1, p = 0.02; unit: mmHg), as was pulse pressure (22.8 ± 6.4 vs 11.1 ± 8.3, p = 0.01; unit: mmHg). However, diastolic pressure remained unaffected (69.2 ± 9.3 vs 62.8 ± 19.0, p = 0.58; unit: mmHg). In conclusion, the obtained results are helpful in understanding the local hemodynamic environment modulated by the presence of atherosclerosis. The local pressure measurements can be used for computational analysis to quantify the critical mechanical condition within an MCA lesion.

Keywords: Atherosclerosis, Middle cerebral artery, Blood pressure, Stenosis

Background

Intracranial atherosclerosis has become one of the major subtypes of stroke, accounting for around 8–10 % of strokes in western societies [1] and 33–55 % of strokes in Asian populations [2, 3]. Around 40 % of symptomatic intracranial atherosclerosis is located in the middle cerebral artery (MCA) [4]. The mechanisms underlying stroke related to intracranial atherosclerosis are varied and may include cerebral hypoperfusion, artery-to-artery embolism, plaque extension over small penetrating artery ostia or a combination of aforementioned [57]. Difference in stroke pathophysiology may therefore require different preventative and treatment strategies. In current clinical practice, similar to carotid atherosclerotic disease, luminal stenosis is the primary criterion for assessing disease severity in MCA atherosclerosis. Severe luminal stenosis results in flow restriction [8, 9], leading to insufficient cerebral perfusion which has been shown to be predictive for subsequent ischemic events [10]. However, a considerable proportion of culprit MCA lesions (approximately 60 %) are of mild to moderate stenosis (30–69 %) [11, 12]. Further analyses are therefore needed for a better understanding the mechanism underlying the ischemic events caused by MCA atherosclerosis.

Under physiological conditions, atherosclerotic plaques are continually subject to mechanical loading due to blood pressure and flow. Plaque rupture likely occurs when such external loading exceeds its material strength [13, 14]. It has been demonstrated that fibrous cap (FC) rupture is responsible for the majority of ischemic arrests in both carotid [15] and coronary [16] circulations. FC rupture may also be one of the aetiologies for the ischemic events caused by MCA atherosclerosis. In order to perform a reliable estimation for the critical mechanical loading within a MCA atherosclerotic plaque, data are required on lesion geometry, composition, material properties and local blood pressure. However, detailed study of the local blood pressure in MCA with atherosclerosis is currently lacking.

In this study, the local arterial pressure at the location proximal to the MCA stenosis was measured directly. The relationship between this direct measurement and the one obtained from non-invasive arm pressure measurement was assessed and the relationship between the degree of MCA luminal stenosis and the local arterial pressure was explored.

Methods

Eighteen patients with symptomatic MCA atherosclerotic disease, scheduled for cerebral vascular intervention, were recruited in Changhai Hospital, Shanghai, China. The study was approved by the local ethics committee (Ref: CHEC2013204), with all patients giving written informed consent prior to their procedure. The patient demographics are listed in Table 1.

Table 1.

Patient demographics (n = 15)

n (%)/mean ± SD Luminal stenosis p value
<70 % (n = 6) ≥70 % (n = 9)
Sex (male) 2 (33.3) 4 (44.4) 0.14
Age 59.9 ± 9.7 60.5 ± 10.8 0.05
Arm diastolic pressure (sober; mmHg) 82.1 ± 9.7 82.5 ± 10.9 0.06
Arm Systolic pressure (sober; mmHg) 133.9 ± 19.1 131.5 ± 19.8 0.58
Heart rate (sober;/minute) 77.3 ± 4.3 77.5 ± 4.3 0.78
Hypertension 6 (100) 5 (55.6) 0.60
Atrial fibrillation 0 (0) 0 (0) N/A
Ischemic heart disease 0 (0) 0 (0) N/A
Diabetes 3 (50) 4 (44.4) 0.32
High cholesterol 3 (50) 3 (33.3) 0.62
Peripheral vascular disease 0 (0) 0 (0) N/A
Previous TIA/stroke 6 (100) 4 (44.4) 1
Aspirin used before recruitment 2 (33.3) 3 (33.3) 0.33
Luminal stenosis (mean ± SD) 57.3 ± 10.0 % 78.6 ± 5.1 % <0.01*

Fisher’s exact test

Student t test

* Mann–Whitney test

All procedures were performed via femoral access using a 6Fr sheath (Medtronic, Minneapolis, USA), with a bolus dose of intra-arterial unfractionated heparin (80 IU/kg) under a general anesthetic. Ebrantil (Nycomed Deutschland GmbH, Konstanz Germany) was administered to control blood pressure. Selective angiography was performed via a 5Fr pigtail catheter (Medtronic, Minneapolis, USA). A microcatheter (DePuy Orthopaedics, Inc., Warsaw, USA) was placed in the target MCA proximally to the stenotic segment to record the local arterial pressure (Fig. 1) over a 10–15 s period. Attempts were also made to measure the local pressure distally to the stenosis (the measurement at the distal site was only successful in three patients). Both systolic and diastolic values were averaged to calculate the representative values for each patient. Non-invasive upper arm blood pressure was also monitored during the interventional procedure. Luminal stenosis was calculated following WASID method [17] using the ratio between dimensions at the most stenotic site and the reference at the proximal normal section on digital subtraction angiography (DSA) images (Fig. 1).

Fig. 1.

Fig. 1

Digital subtraction angiographic images showing an atherosclerotic plaque in the middle cerebral artery (a image highlighting a microcatheter (marked by white arrow) and an atherosclerotic plaque in the middle cerebral artery (marked by red arrow); b image illustrating dimensions at the most stenotic site and the proximal disease-free site; a and b were from the same patient.)

Categorical variables were analysed using two-sided Fisher’s exact test. Normal distribution was tested by Shapiro–Wilk test. All pressure measurements were not followed the normal distribution. Two-tailed Mann–Whitney test were therefore used. The difference between pressures (pre-intervention vs intra-intervention arm pressure vs MCA pressure) acquired in the same patient was assessed using paired Wilcoxon signed-rank test. Statistical analyses were performed in R 2.10.1 (The R Foundation for Statistical Computing). The regression quantifying the relationship between local pressure and luminal stenosis was performed in Matlab R2014a (MathWorks Inc., USA).

Results

The local MCA arterial pressure at the proximal site was recorded successfully in 15 (out of 18) patients. During the procedure, compared with pre-intervention measures, non-invasive arm pressures at diastole and systole decreased by 23.9 ± 11.8 and 9.3 ± 14.7 %, respectively (Fig. 2). The diastolic pressure at the location proximal to the stenosis was comparable with the one obtained at the arm during the intervention (65.3 ± 15.7 vs 62.0 ± 9.4 mmHg, p = 0.43), while the systolic pressure was lower by 32.0 ± 12.0 % compared with the same reference (81.1 ± 15.9 vs 119.7 ± 15.5 mmHg, p < 0.01). The concrete pressure measurement of each patient was listed in Table 2. The local pressure distally to the stenosis was acquired successfully only on P01, P02 and P03 (Table 2) (diastole/systole; P01: 51/42; P02: 35/33; and P03: 25/21; unit: mmHg).

Fig. 2.

Fig. 2

Comparisons between local blood pressure measurement at the site proximal to the atherosclerosis in the MCA and the arm blood pressure measured before the intervention and during the intervention (a comparison of pressures at diastole; and b comparison of pressure at systole)

Table 2.

Blood pressure measurements of each patient

Patient ID Pre-intervention arm pressure (mmHg) Intra-intervention arm pressure (mmHg) Intra-intervention MCA pressure (mmHg) Stenosis (%)
Diastole Systole Diastole Systole Diastole Systole
P01 80 160 56 137 67 91 48
P02 110 180 75 131 64 92 62
P03 70 102 64 106 65 92 42
P04 70 120 57 132 65 80 61
P05 80 130 64 145 88 103 64
P06 80 130 64 133 66 94 67
P07 72 144 48 93 64 67 79
P08 80 130 64 135 44 57 78
P09 86 118 64 109 75 85 75
P10 90 150 47 99 25 46 75
P11 80 130 54 113 71 85 76
P12 84 134 71 127 90 93 78
P13 88 130 63 111 64 90 83
P14 80 120 57 114 74 77 74
P15 80 130 82 111 58 65 90

As presented in Fig. 3, the degree of luminal stenosis affected both local systolic and pulse pressure (the difference between systolic pressure and diastolic pressure) significantly (Fig. 3a, c). Both of these decreased as MCA stenosis severity increased. The MCA stenosis had very little effect on local diastolic pressure (Fig. 3a). The same trend was observed when the pressure measurements in MCA was normalized by pre-intervention arm pressure (Fig. 3b). The relationship between pressure and the luminal stenosis can be expressed by

Pressure=k1ek2×Stenosis+k3

in which k1, k2 and k3 are constants. The fitted constants are listed in Table 3. In this study, 9 lesions caused sever (≥70 %) luminal stenosis and 6 caused mild or moderate (30–69 %) luminal stenosis. The systolic and diastolic pressures measured in patients with moderate stenosis were 92.0 ± 7.3 and 69.2 ± 9.3 mmHg, respectively; and in patients with severe stenosis were 73.9 ± 16.1 and 62.8 ± 19.0 mmHg, respectively.

Fig. 3.

Fig. 3

The relationship between local blood pressure in the MCA and luminal stenosis and the corresponding fitting curve (a local blood pressure vs stenosis; b normalized blood pressure vs stenosis (diastolic and systolic pressure in the MCA were normalized by the arm diastolic and systolic pressure measured before intervention); and c pulse blood pressure vs stenosis)

Table 3.

The fitting constants and the corresponding correlation coefficient describing the relationship between pressure and luminal stenosis

k 1 (mmHg) k 2 k 3 (mmHg) R 2
Diastolic pressure (mmHg) −0.0013 0.0982 67.0835 0.02
Systolic pressure (mmHg) −0.1037 0.0638 97.4290 0.34
Normalized diastolic pressure −0.0016 0.0562 0.9781 0.19
Normalized systolic pressure −0.4922 0.0091 1.6144 0.64
Pulse pressure (mmHg) −0.6541 0.0407 28.6071 0.37

Discussion

To authors’ best knowledge, this is the first study reporting direct measures of the local blood pressure for MCA atherosclerosis. The obtained results indicate that local arterial pressure is related to the degree of luminal stenosis in the MCA. Notably, the systolic and pulse pressures decreased as the stenosis increased. Considering Laplace’s law as the first-order approximation,

σ¯=prh

the mean structural stress (σ¯) is correlated with local pressure (p) and inner radius (r) and inversely correlated with wall thickness (h). Compared with lesions with severe luminal stenosis, those in the mild to moderate category have a bigger r and smaller h; as shown in this study, local pressure (p) is higher in this category; the structural stress is therefore higher when the luminal stenosis is reduced. Moreover, pressure variation is bigger in the lesion with mild or moderate luminal stenosis, which leads to an increased stress variation. These changes both have significant potential to destabilize the plaque structure [18]. It might therefore be reasonable to suggest that FC rupture more likely occurs in lesions with thin FC but only caused mild to moderate luminal narrowing.

Certainly, mechanical loading in the lesion is not only dominated by local blood pressure, but also morphological and compositional plaque features [19, 20], e.g., it has been shown that mechanical stress within FC increases with local luminal curvature increase [21] and FC thickness decrease [22, 23]. For an accurate stress calculation, sophisticated mechanical analyses are needed that consider 3D plaque geometry, atherosclerotic composition, tissue material properties, and boundary/loading conditions. Pilot results obtained from carotid have demonstrated the complementary values of mechanical analyses in predicting subsequent ischemic events to plaque architectures [24, 25]. Morden advanced magnetic resonance imaging techniques are enable to delineate plaque geometry and compositions in the MCA non-invasively [7, 12]. However, it is challenging to directly measure the local blood pressure in symptomatic patients scheduled for medical therapy or in asymptomatic patients. This study provides useful information to estimate the local MCA blood pressure based on the non-invasive arm measurements and luminal stenosis.

Despite of the great value of the data reported, limitations exist: (1) the patient cohort is small (the local pressure was acquired successfully in 15 patients); and (2) local blood pressure acquired might have been affected by the probe.

Conclusions

This study indicates that local arterial pressure is related to the degree of luminal stenosis in the MCA. Notably, the systolic and pulse pressures decreased as the stenosis increased. The obtained results are helpful in understanding the local hemodynamic environment modulated by the presence of atherosclerosis and can be used for computational analysis to quantify the critical mechanical condition within an MCA lesion.

Authors’ contributions

YJ, WP and BH recruited patients and acquired and analyzed the data. JHG and QL revised the manuscript significantly. ZT and JL designed the study and drafted the manuscript. All authors read and approved the final manuscript.

Acknowledgements

Authors thank Dr. Adam Brown in the University of Cambridge for proofreading this manuscript.

Competing interests

The authors declare that they have no competing interests.

Availability of data and materials

The raw data used for analysis to draw the conclusion has been provided in Table 2. No further material will be provided.

Funding

This research is supported by the Emerging Frontier Technology Joint Research Program of Shanghai Municipal Hospital, China (SHDC12013110), National Natural Science Foundation of China (31470910), and the NIHR Cambridge Biomedical Research Centre.

Abbreviations

DSA

digital subtraction angiography

FC

fibrous cap

MCA

middle cerebral artery

Contributor Information

Yuanliang Jiang, Email: 1988jyl@sina.cn.

Wenjia Peng, Email: cindywpj@aliyun.com.

Zhongzhao Teng, Phone: +44 (0)1223 746447, Email: zt215@cam.ac.uk.

Jonathan H. Gillard, Email: jhg21@cam.ac.uk

Bo Hong, Email: hongbosmmu@vip.126.com.

Qi Liu, Email: liuqiatg@gmail.com.

Jianping Lu, Phone: +86 (0) 21-81873637, Email: cjr.lujianping@vip.163.com.

References

  • 1.Wityk RJ, Lehman D, Klag M, Coresh J, Ahn H, Litt B. Race and sex differences in the distribution of cerebral atherosclerosis. Stroke. 1996;27:1974–1980. doi: 10.1161/01.STR.27.11.1974. [DOI] [PubMed] [Google Scholar]
  • 2.Wong LK. Global burden of intracranial atherosclerosis. Int J Stroke. 2006;1:158–159. doi: 10.1111/j.1747-4949.2006.00045.x. [DOI] [PubMed] [Google Scholar]
  • 3.De Silva DA, Woon FP, Lee MP, Chen CP, Chang HM, Wong MC. South Asian patients with ischemic stroke: intracranial large arteries are the predominant site of disease. Stroke. 2007;38:2592–2594. doi: 10.1161/STROKEAHA.107.484584. [DOI] [PubMed] [Google Scholar]
  • 4.Caplan LR, Gorelick PB, Hier DB. Race, sex and occlusive cerebrovascular disease: a review. Stroke. 1986;17:648–655. doi: 10.1161/01.STR.17.4.648. [DOI] [PubMed] [Google Scholar]
  • 5.Liebeskind DS, Cotsonis GA, Saver JL, Lynn MJ, Turan TN, Cloft HJ, Chimowitz MI. Warfarin-aspirin symptomatic intracranial disease I. Collaterals dramatically alter stroke risk in intracranial atherosclerosis. Ann Neurol. 2011;69:963–974. doi: 10.1002/ana.22354. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 6.Caplan LR. Intracranial branch atheromatous disease: a neglected, understudied, and underused concept. Neurology. 1989;39:1246–1250. doi: 10.1212/WNL.39.9.1246. [DOI] [PubMed] [Google Scholar]
  • 7.Holmstedt CA, Turan TN, Chimowitz MI. Atherosclerotic intracranial arterial stenosis: risk factors, diagnosis, and treatment. Lancet Neurol. 2013;12:1106–1114. doi: 10.1016/S1474-4422(13)70195-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 8.Groen HC, Simons L, van den Bouwhuijsen QJ, Bosboom EM, Gijsen FJ, van der Giessen AG, van de Vosse FN, Hofman A, van der Steen AF, Witteman JC, van der Lugt A, Wentzel JJ. MRI-based quantification of outflow boundary conditions for computational fluid dynamics of stenosed human carotid arteries. J Biomech. 2010;43:2332–2338. doi: 10.1016/j.jbiomech.2010.04.039. [DOI] [PubMed] [Google Scholar]
  • 9.Leng X, Wong KS, Liebeskind DS. Evaluating intracranial atherosclerosis rather than intracranial stenosis. Stroke. 2014;45:645–651. doi: 10.1161/STROKEAHA.113.002491. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10.Liebeskind DS, Kosinski AS, Lynn MJ, Scalzo F, Fong AK, Fariborz P, Chimowitz MI, Feldmann E. Noninvasive fractional flow on MRA predicts stroke risk of intracranial stenosis. J Neuroimaging. 2015;25:87–91. doi: 10.1111/jon.12101. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 11.Kasner SE, Chimowitz MI, Lynn MJ, Howlett-Smith H, Stern BJ, Hertzberg VS, Frankel MR, Levine SR, Chaturvedi S, Benesch CG, Sila CA, Jovin TG, Romano JG, Cloft HJ. Warfarin aspirin symptomatic intracranial disease trial I. Predictors of ischemic stroke in the territory of a symptomatic intracranial arterial stenosis. Circulation. 2006;113:555–563. doi: 10.1161/CIRCULATIONAHA.105.578229. [DOI] [PubMed] [Google Scholar]
  • 12.Teng Z, Peng W, Zhan Q, Zhang X, Liu Q, Chen S, Tian X, Chen L, Brown AJ, Graves MJ, Gillard JH, Lu J. An assessment on the incremental value of high-resolution magnetic resonance imaging to identify culprit plaques in atherosclerotic disease of the middle cerebral artery. Eur Radiol. 2015;26(7):2206–2214. doi: 10.1007/s00330-015-4008-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 13.Tang D, Teng Z, Canton G, Yang C, Ferguson M, Huang X, Zheng J, Woodard PK, Yuan C. Sites of rupture in human atherosclerotic carotid plaques are associated with high structural stresses: an in vivo MRI-based 3D fluid-structure interaction study. Stroke. 2009;40:3258–3263. doi: 10.1161/STROKEAHA.109.558676. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 14.Richardson PD, Davies MJ, Born GV. Influence of plaque configuration and stress distribution on fissuring of coronary atherosclerotic plaques. Lancet. 1989;2:941–944. doi: 10.1016/S0140-6736(89)90953-7. [DOI] [PubMed] [Google Scholar]
  • 15.Redgrave JN, Gallagher P, Lovett JK, Rothwell PM. Critical cap thickness and rupture in symptomatic carotid plaques: the oxford plaque study. Stroke. 2008;39:1722–1729. doi: 10.1161/STROKEAHA.107.507988. [DOI] [PubMed] [Google Scholar]
  • 16.Burke AP, Farb A, Malcom GT, Liang YH, Smialek J, Virmani R. Coronary risk factors and plaque morphology in men with coronary disease who died suddenly. N Engl J Med. 1997;336:1276–1282. doi: 10.1056/NEJM199705013361802. [DOI] [PubMed] [Google Scholar]
  • 17.Samuels OB, Joseph GJ, Lynn MJ, Smith HA, Chimowitz MI. A standardized method for measuring intracranial arterial stenosis. AJNR Am J Neuroradiol. 2000;21:643–646. [PMC free article] [PubMed] [Google Scholar]
  • 18.Huang Y, Teng Z, Sadat U, He J, Graves MJ, Gillard JH. In vivo MRI-based simulation of fatigue process: a possible trigger for human carotid atherosclerotic plaque rupture. Biomed Eng Online. 2013;12:36. doi: 10.1186/1475-925X-12-36. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 19.Imoto K, Hiro T, Fujii T, Murashige A, Fukumoto Y, Hashimoto G, Okamura T, Yamada J, Mori K, Matsuzaki M. Longitudinal structural determinants of atherosclerotic plaque vulnerability: a computational analysis of stress distribution using vessel models and three-dimensional intravascular ultrasound imaging. J Am Coll Cardiol. 2005;46:1507–1515. doi: 10.1016/j.jacc.2005.06.069. [DOI] [PubMed] [Google Scholar]
  • 20.Teng Z, Brown AJ, Calvert PA, Parker RA, Obaid DR, Huang Y, Hoole SP, West NE, Gillard JH, Bennett MR. Coronary plaque structural stress is associated with plaque composition and subtype and higher in acute coronary syndrome: the BEACON I (Biomechanical Evaluation of Atheromatous Coronary Arteries) study. Circ Cardiovasc Imaging. 2014;7:461–470. doi: 10.1161/CIRCIMAGING.113.001526. [DOI] [PubMed] [Google Scholar]
  • 21.Teng Z, Sadat U, Ji G, Zhu C, Young VE, Graves MJ, Gillard JH. Lumen irregularity dominates the relationship between mechanical stress condition, fibrous-cap thickness, and lumen curvature in carotid atherosclerotic plaque. J Biomech Eng. 2011;133:034501. doi: 10.1115/1.4003439. [DOI] [PubMed] [Google Scholar]
  • 22.Li ZY, Howarth SP, Tang T, Gillard JH. How critical is fibrous cap thickness to carotid plaque stability? A flow-plaque interaction model. Stroke. 2006;37:1195–1199. doi: 10.1161/01.STR.0000217331.61083.3b. [DOI] [PubMed] [Google Scholar]
  • 23.Loree HM, Kamm RD, Stringfellow RG, Lee RT. Effects of fibrous cap thickness on peak circumferential stress in model atherosclerotic vessels. Circ Res. 1992;71:850–858. doi: 10.1161/01.RES.71.4.850. [DOI] [PubMed] [Google Scholar]
  • 24.Sadat U, Teng Z, Young VE, Walsh SR, Li ZY, Graves MJ, Varty K, Gillard JH. Association between biomechanical structural stresses of atherosclerotic carotid plaques and subsequent ischaemic cerebrovascular events—a longitudinal in vivo magnetic resonance imaging-based finite element study. Eur J Vasc Endovasc Surg. 2010;40:485–491. doi: 10.1016/j.ejvs.2010.07.015. [DOI] [PubMed] [Google Scholar]
  • 25.Teng Z, Sadat U, Wang W, Bahaei NS, Chen S, Young VE, Graves MJ, Gillard JH. Intraplaque stretch in carotid atherosclerotic plaque–an effective biomechanical predictor for subsequent cerebrovascular ischemic events. PLoS One. 2013;8:e61522. doi: 10.1371/journal.pone.0061522. [DOI] [PMC free article] [PubMed] [Google Scholar]

Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Data Availability Statement

The raw data used for analysis to draw the conclusion has been provided in Table 2. No further material will be provided.


Articles from BioMedical Engineering OnLine are provided here courtesy of BMC

RESOURCES