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Erschienen in: Neural Computing and Applications 1/2015

01.01.2015 | Original Article

Impact of retinal vascular tortuosity on retinal circulation

verfasst von: Jihene Malek, Ahmad Taher Azar, Rached Tourki

Erschienen in: Neural Computing and Applications | Ausgabe 1/2015

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Abstract

The retinal microvasculature is a window to the systemic circulation. Systemic diseases, like diabetes and hypertension, are linked to retinal microvascular structure changes (as width, tortuosity, and branching angle). The latter results in a potentially disadvantageous blood flow. This study has been designed to examine the relationship of a retinal vascular tortuosity to both blood pressure and velocity. The geometrical outlines of realistic retinal vascular trees have been extracted from fundus images. The retinal venular tortuosity has been quantitatively measured. A normal tortuosity value has been found, which has not exceeded 1.2. A computational fluid dynamics study has been conducted to examine the effect of topological changes on the hemodynamics distribution in the retinal circulation. The microvascular diameter effect (i.e., Fahraeus–Lindqvist effect) and the hematocrit have been considered in determining the viscosity of the blood in the retinal vessel segments. The pressure drop and the maximum velocity have been in the order of 15 mmHg and 0.032 m/s for tortuous vessels, and 13 mmHg and 0.054 m/s for normal vessels, respectively. For a clinical case, the maximal velocity falls down to 14 % due to the tortuosity. The current results have shown a decrease in the blood velocity and an increase in the pressure drop with tortuosity, which are in good agreement with in vivo measurements reported in the literature.

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Literatur
1.
Zurück zum Zitat Acheson DJ (1990) Elementary fluid dynamics: Oxford applied mathematics and computing science series. Clarendon Press, OxfordMATH Acheson DJ (1990) Elementary fluid dynamics: Oxford applied mathematics and computing science series. Clarendon Press, OxfordMATH
2.
Zurück zum Zitat Arsene S, Giraudeau B, Le Lez ML, Pisella PJ, Pourcelot L, Tranquart F (2002) Follow up by colour Doppler imaging of 102 patients with retinal vein occlusion over 1 year. Br J Ophthalmol 86(1):1243–1247CrossRef Arsene S, Giraudeau B, Le Lez ML, Pisella PJ, Pourcelot L, Tranquart F (2002) Follow up by colour Doppler imaging of 102 patients with retinal vein occlusion over 1 year. Br J Ophthalmol 86(1):1243–1247CrossRef
3.
Zurück zum Zitat Baxter GM, Williamson TH (1996) The value of serial Doppler imaging in central retinal vein occlusion: correlation with visual recovery. Clin Radiol 51(6):411–414CrossRef Baxter GM, Williamson TH (1996) The value of serial Doppler imaging in central retinal vein occlusion: correlation with visual recovery. Clin Radiol 51(6):411–414CrossRef
4.
Zurück zum Zitat Brown DL, Cortez R, Minion ML (2001) Accurate projection methods for the incompressible Navier–Stokes equations. J Comput Phys 168(2):464–499CrossRefMathSciNetMATH Brown DL, Cortez R, Minion ML (2001) Accurate projection methods for the incompressible Navier–Stokes equations. J Comput Phys 168(2):464–499CrossRefMathSciNetMATH
5.
Zurück zum Zitat Bullitt E, Gerig G, Pizer SM, Lin W, Aylward SR (2003) Measuring tortuosity of the intracerebral vasculature from MRA images. IEEE Trans Med Imaging 22(9):1163–1171CrossRef Bullitt E, Gerig G, Pizer SM, Lin W, Aylward SR (2003) Measuring tortuosity of the intracerebral vasculature from MRA images. IEEE Trans Med Imaging 22(9):1163–1171CrossRef
6.
Zurück zum Zitat Chaudhuri S, Chatterjee S, Katz N, Nelson M, Goldbaum M (1989) Detection of blood vessels in retinal images using two-dimensional matched filters. IEEE Trans Med Imaging 8(3):263–269CrossRef Chaudhuri S, Chatterjee S, Katz N, Nelson M, Goldbaum M (1989) Detection of blood vessels in retinal images using two-dimensional matched filters. IEEE Trans Med Imaging 8(3):263–269CrossRef
7.
Zurück zum Zitat Cheung CY, Zheng Y, Hsu W, Lee ML, Lau QP, Mitchell P, Wang JJ, Klein R, Wong TY (2011) Retinal vascular tortuosity, blood pressure, and cardiovascular risk factors. Ophthalmology 118(5):812–818CrossRef Cheung CY, Zheng Y, Hsu W, Lee ML, Lau QP, Mitchell P, Wang JJ, Klein R, Wong TY (2011) Retinal vascular tortuosity, blood pressure, and cardiovascular risk factors. Ophthalmology 118(5):812–818CrossRef
8.
Zurück zum Zitat Constantin JP, Riva CE (2013) Retinal blood flow evaluation. Ophthalmologica 229(2):61–74CrossRef Constantin JP, Riva CE (2013) Retinal blood flow evaluation. Ophthalmologica 229(2):61–74CrossRef
9.
Zurück zum Zitat Curtis TM, Gardiner TA, Stitt AW (2009) Microvascular lesions of diabetic retinopathy: clues towards understanding pathogenesis? Eye (Lond) 23(7):1496–1508CrossRef Curtis TM, Gardiner TA, Stitt AW (2009) Microvascular lesions of diabetic retinopathy: clues towards understanding pathogenesis? Eye (Lond) 23(7):1496–1508CrossRef
10.
Zurück zum Zitat Daniels SR, Lipman MJ, Burke MJ, Loggie JM (1993) Determinants of retinal vascular abnormalities in children and adolescents with essential hypertension. J Hum Hypertens 7(3):223–228 Daniels SR, Lipman MJ, Burke MJ, Loggie JM (1993) Determinants of retinal vascular abnormalities in children and adolescents with essential hypertension. J Hum Hypertens 7(3):223–228
11.
Zurück zum Zitat David AS (2002) Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann Biomed Eng 30(4):483–497CrossRef David AS (2002) Image-based computational fluid dynamics modeling in realistic arterial geometries. Ann Biomed Eng 30(4):483–497CrossRef
12.
Zurück zum Zitat Dougherty G, Johnson MJ, Wiers MD (2010) Measurement of retinal vascular tortuosity and its application to retinal pathologies. Med Biol Eng Comput 48(1):87–95CrossRef Dougherty G, Johnson MJ, Wiers MD (2010) Measurement of retinal vascular tortuosity and its application to retinal pathologies. Med Biol Eng Comput 48(1):87–95CrossRef
13.
Zurück zum Zitat Duker J, Weiter JJ (1991) Ocular circulation. In: Tasman W, Jaeger EA (eds) Duane’s foundations of clinical ophthalmology. JB Lippincott, New York, pp 1–34 Duker J, Weiter JJ (1991) Ocular circulation. In: Tasman W, Jaeger EA (eds) Duane’s foundations of clinical ophthalmology. JB Lippincott, New York, pp 1–34
14.
Zurück zum Zitat Durham JT, Herman IM (2011) Microvascular modifications in diabetic retinopathy. Curr Diab Rep 11(4):253–264CrossRef Durham JT, Herman IM (2011) Microvascular modifications in diabetic retinopathy. Curr Diab Rep 11(4):253–264CrossRef
15.
Zurück zum Zitat Fahraeus R (1929) The suspension stability of the blood. Physiol Rev 9(2):241–274 Fahraeus R (1929) The suspension stability of the blood. Physiol Rev 9(2):241–274
16.
Zurück zum Zitat Fahraeus R, Lindqvist T (1931) The viscosity of the blood in narrow capillary tubes. Am J Physiol 96:562–568 Fahraeus R, Lindqvist T (1931) The viscosity of the blood in narrow capillary tubes. Am J Physiol 96:562–568
17.
Zurück zum Zitat Fung YC (1993) Biomechanics, mechanical properties of living tissues. Springer, New York Fung YC (1993) Biomechanics, mechanical properties of living tissues. Springer, New York
18.
Zurück zum Zitat Gabryś E, Rybaczuk M, Kędzia A (2006) Blood flow simulation through fractal models of circulatory system. Chaos Solitons Fractals 27(1):1–7CrossRefMATH Gabryś E, Rybaczuk M, Kędzia A (2006) Blood flow simulation through fractal models of circulatory system. Chaos Solitons Fractals 27(1):1–7CrossRefMATH
19.
Zurück zum Zitat Ganesan P, He S, Xu H (2010) Development of an image-based network model of retinal vasculature. Ann Biomed Eng 38(4):1566–1585CrossRef Ganesan P, He S, Xu H (2010) Development of an image-based network model of retinal vasculature. Ann Biomed Eng 38(4):1566–1585CrossRef
20.
Zurück zum Zitat Ganesan P, He S, Xu H (2010) Analysis of retinal circulation using an image based network model of retinal vasculature. Microvasc Res 80(1):99–109CrossRef Ganesan P, He S, Xu H (2010) Analysis of retinal circulation using an image based network model of retinal vasculature. Microvasc Res 80(1):99–109CrossRef
21.
Zurück zum Zitat Ganesan P, He S, Xu H (2011) Modelling of pulsatile blood flow in arterial trees of retinal vasculature. Med Eng Phys 33(7):810–823CrossRef Ganesan P, He S, Xu H (2011) Modelling of pulsatile blood flow in arterial trees of retinal vasculature. Med Eng Phys 33(7):810–823CrossRef
22.
Zurück zum Zitat Ganesan P, He S, Xu H (2011) Development of an image-based model for capillary vasculature of retina. Comput Methods Programs Biomed 102(1):35–46CrossRef Ganesan P, He S, Xu H (2011) Development of an image-based model for capillary vasculature of retina. Comput Methods Programs Biomed 102(1):35–46CrossRef
23.
Zurück zum Zitat Grisan E, Foracchia M, Ruggeri A (2003) A novel method for the automatic evaluation of retinal vessel tortuosity. In: Proceedings of the 25th annual international conference of the IEEE engineering in medicine and biology society, 17–21 Sept 2003, vol 1, pp 866–869. doi:10.1109/IEMBS.2003.1279902 Grisan E, Foracchia M, Ruggeri A (2003) A novel method for the automatic evaluation of retinal vessel tortuosity. In: Proceedings of the 25th annual international conference of the IEEE engineering in medicine and biology society, 17–21 Sept 2003, vol 1, pp 866–869. doi:10.​1109/​IEMBS.​2003.​1279902
24.
Zurück zum Zitat Grunwald JE, Riva CE, Baine J, Brucker AJ (1992) Total retinal volumetric blood flow rate in diabetic patients with poor glycemic control. Invest Ophthalmol Vis Sci 33(2):356–363 Grunwald JE, Riva CE, Baine J, Brucker AJ (1992) Total retinal volumetric blood flow rate in diabetic patients with poor glycemic control. Invest Ophthalmol Vis Sci 33(2):356–363
25.
Zurück zum Zitat Guidoboni G, Harris A, Carichino L, Arieli Y, Siesky BA (2014) Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model. Math Biosci Eng 11(3):523–546CrossRefMathSciNetMATH Guidoboni G, Harris A, Carichino L, Arieli Y, Siesky BA (2014) Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model. Math Biosci Eng 11(3):523–546CrossRefMathSciNetMATH
26.
Zurück zum Zitat Guran T, Zeimer RC, Shahidi M, Mori MT (1990) Quantitative analysis of retinal hemodynamics using targeted dye delivery. Invest Ophthalmol Vis Sci 31(11):2300–2306 Guran T, Zeimer RC, Shahidi M, Mori MT (1990) Quantitative analysis of retinal hemodynamics using targeted dye delivery. Invest Ophthalmol Vis Sci 31(11):2300–2306
27.
Zurück zum Zitat Han HC (2012) Twisted blood vessels: symptoms, etiology and biomechanical mechanisms. J Vasc Res 49(3):185–197CrossRef Han HC (2012) Twisted blood vessels: symptoms, etiology and biomechanical mechanisms. J Vasc Res 49(3):185–197CrossRef
28.
Zurück zum Zitat Harris A, Guidoboni G, Arciero JC, Ameriskandari A, Tobe LA, Siesky BA (2013) Ocular hemodynamics and glaucoma: the role of mathematical modeling. Eur J Ophthalmol 23(2):139–146CrossRef Harris A, Guidoboni G, Arciero JC, Ameriskandari A, Tobe LA, Siesky BA (2013) Ocular hemodynamics and glaucoma: the role of mathematical modeling. Eur J Ophthalmol 23(2):139–146CrossRef
29.
Zurück zum Zitat Hart WE, Goldbaum M, Côté B, Kube P, Nelson MR (1999) Measurement and classification of retinal vascular tortuosity. Int J Med Inform 53(2–3):239–252CrossRef Hart WE, Goldbaum M, Côté B, Kube P, Nelson MR (1999) Measurement and classification of retinal vascular tortuosity. Int J Med Inform 53(2–3):239–252CrossRef
30.
Zurück zum Zitat Heistad DD (2001) What’s new in the cerebral microcirculation? Microcirculation 8(6):365–375CrossRef Heistad DD (2001) What’s new in the cerebral microcirculation? Microcirculation 8(6):365–375CrossRef
31.
Zurück zum Zitat Heneghan C, Flynn J, O’Keefe M, Cahill M (2002) Characterization of changes in blood vessel width and tortuosity in retinopathy of prematurity using image analysis. Med Image Anal 6(4):407–429CrossRef Heneghan C, Flynn J, O’Keefe M, Cahill M (2002) Characterization of changes in blood vessel width and tortuosity in retinopathy of prematurity using image analysis. Med Image Anal 6(4):407–429CrossRef
32.
Zurück zum Zitat Hubbard LD, Brothers RJ, King WN, Clegg LX, Klein R, Cooper LS, Sharrett AR, Davis MD, Cai J (1999) Methods for evaluation of retinal, microvascular abnormalities associated with hypertension/sclerosis in the atherosclerosis risk in communities study. Ophthalmology 106(12):2269–2280CrossRef Hubbard LD, Brothers RJ, King WN, Clegg LX, Klein R, Cooper LS, Sharrett AR, Davis MD, Cai J (1999) Methods for evaluation of retinal, microvascular abnormalities associated with hypertension/sclerosis in the atherosclerosis risk in communities study. Ophthalmology 106(12):2269–2280CrossRef
33.
Zurück zum Zitat Iftimia NV, Hammer DX, Bigelow CE, Rosen DI, Ustun T, Ferrante AA, Vu D, Ferguson RD (2006) Toward noninvasive measurement of blood hematocrit using spectral domain low coherence interferometry and retinal tracking. Opt Express 14(8):3377–3388CrossRef Iftimia NV, Hammer DX, Bigelow CE, Rosen DI, Ustun T, Ferrante AA, Vu D, Ferguson RD (2006) Toward noninvasive measurement of blood hematocrit using spectral domain low coherence interferometry and retinal tracking. Opt Express 14(8):3377–3388CrossRef
34.
Zurück zum Zitat Irene EV, Figueroa CA, Jansen KE, Taylor CA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195(29–32):3776–3796MATH Irene EV, Figueroa CA, Jansen KE, Taylor CA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195(29–32):3776–3796MATH
35.
Zurück zum Zitat Jensen PS, Glucksberg MR (1998) Regional variation in capillary hemodynamics in the cat retina. Invest Ophthalmo Vis Sci 39(2):407–415 Jensen PS, Glucksberg MR (1998) Regional variation in capillary hemodynamics in the cat retina. Invest Ophthalmo Vis Sci 39(2):407–415
36.
Zurück zum Zitat Jintao Y, Yi L, Simon T, Grant C, Lin W (2014) Parametric transfer function analysis and modeling of blood flow autoregulation in the optic nerve head. Int J Physiol Pathophysiol Pharmacol 6(1):13–22 Jintao Y, Yi L, Simon T, Grant C, Lin W (2014) Parametric transfer function analysis and modeling of blood flow autoregulation in the optic nerve head. Int J Physiol Pathophysiol Pharmacol 6(1):13–22
38.
Zurück zum Zitat Kramer CK, Rodrigues TC, Canani LH, Gross JL, Azevedo MJ (2011) Review diabetic retinopathy predicts all-cause mortality and cardiovascular events in both type 1 and 2 diabetes: meta-analysis of observational studies. Diabetes Care 34(5):1238–12244CrossRef Kramer CK, Rodrigues TC, Canani LH, Gross JL, Azevedo MJ (2011) Review diabetic retinopathy predicts all-cause mortality and cardiovascular events in both type 1 and 2 diabetes: meta-analysis of observational studies. Diabetes Care 34(5):1238–12244CrossRef
39.
Zurück zum Zitat Kwa VI, van der Sande JJ, Stam J, Tijmes N, Vrooland JL (2002) Retinal arterial changes correlate with cerebral small-vessel disease. Neurology 59(10):1536–1540CrossRef Kwa VI, van der Sande JJ, Stam J, Tijmes N, Vrooland JL (2002) Retinal arterial changes correlate with cerebral small-vessel disease. Neurology 59(10):1536–1540CrossRef
40.
Zurück zum Zitat Kylstra JA, Wierzbicki T, Wolbarsht ML, Landers MB, Stefansson E (1986) The relationship between retinal vessel tortuosity, diameter, and transmural pressure. Graefes Arch Clin Exp Ophthalmol 224(5):477–480CrossRef Kylstra JA, Wierzbicki T, Wolbarsht ML, Landers MB, Stefansson E (1986) The relationship between retinal vessel tortuosity, diameter, and transmural pressure. Graefes Arch Clin Exp Ophthalmol 224(5):477–480CrossRef
41.
Zurück zum Zitat Lee J, Smith NP (2012) The multi-scale modelling of coronary blood flow. Ann Biomed Eng 40(11):2399–2413CrossRef Lee J, Smith NP (2012) The multi-scale modelling of coronary blood flow. Ann Biomed Eng 40(11):2399–2413CrossRef
42.
Zurück zum Zitat Liu D, Wood NB, Witt N, Hughes AD, Thom SA, Xu XY (2009) Computational analysis of oxygen transport in the retinal arterial network. Curr Eye Res 34(11):945–956CrossRef Liu D, Wood NB, Witt N, Hughes AD, Thom SA, Xu XY (2009) Computational analysis of oxygen transport in the retinal arterial network. Curr Eye Res 34(11):945–956CrossRef
43.
Zurück zum Zitat Malek J, Tourki R (2013) Blood vessels extraction and classification into arteries and veins in retinal images. In: 10th International Multi-Conference on Systems, Signals & Devices (SSD), 18–21 March 2013, Hammamet, Tunisia, pp 1–6. doi:10.1109/SSD.2013.6564037 Malek J, Tourki R (2013) Blood vessels extraction and classification into arteries and veins in retinal images. In: 10th International Multi-Conference on Systems, Signals & Devices (SSD), 18–21 March 2013, Hammamet, Tunisia, pp 1–6. doi:10.​1109/​SSD.​2013.​6564037
44.
Zurück zum Zitat Malek J, Nasralli B, Echouchene F, Tourki R (2013) Geometric and hemodynamic study in early stages of diabetic retinopathy. In: International conference on control, engineering and information technology, Jun 4–7, 2013, Sousse, Tunisia, pp 69–76 Malek J, Nasralli B, Echouchene F, Tourki R (2013) Geometric and hemodynamic study in early stages of diabetic retinopathy. In: International conference on control, engineering and information technology, Jun 4–7, 2013, Sousse, Tunisia, pp 69–76
45.
Zurück zum Zitat Myron Y, Jay SD, James JA (2009) Ophthalmology, 3rd edn. Elsevier, Mosby, pp 518–521 Myron Y, Jay SD, James JA (2009) Ophthalmology, 3rd edn. Elsevier, Mosby, pp 518–521
46.
Zurück zum Zitat Onkaew D, Turior R, Uyyanonvara B, Akinori N, Sinthanayothin C (2011) Automatic retinal vessel tortuosity measurement using curvature of improved chain code. In: 2011 International conference on electrical, control and computer engineering (INECCE), 21–22 June 2011, Pahang, pp 183–186. doi:10.1109/INECCE.2011.5953872 Onkaew D, Turior R, Uyyanonvara B, Akinori N, Sinthanayothin C (2011) Automatic retinal vessel tortuosity measurement using curvature of improved chain code. In: 2011 International conference on electrical, control and computer engineering (INECCE), 21–22 June 2011, Pahang, pp 183–186. doi:10.​1109/​INECCE.​2011.​5953872
47.
Zurück zum Zitat Olufsen MS (1999) A structured tree outflow condition for blood flow in the larger systemic arteries. Am J Physiol 276(1 Pt 2):H257–H268 Olufsen MS (1999) A structured tree outflow condition for blood flow in the larger systemic arteries. Am J Physiol 276(1 Pt 2):H257–H268
48.
Zurück zum Zitat Papenfuss HD, Gross JF (1981) Microhemodynamics of capillary networks. Biorheology 18(3–6):673–692 Papenfuss HD, Gross JF (1981) Microhemodynamics of capillary networks. Biorheology 18(3–6):673–692
49.
Zurück zum Zitat Pries AR, Secomb TW, Gaehtgens P, Gross JF (1990) Blood flow in microvascular networks experiments and simulation. Circ Res 67(4):826–834CrossRef Pries AR, Secomb TW, Gaehtgens P, Gross JF (1990) Blood flow in microvascular networks experiments and simulation. Circ Res 67(4):826–834CrossRef
50.
Zurück zum Zitat Pries AR, Secomb TW, Gaehtgens P (1996) Biophysical aspects of blood flow in the microvasculature. Cardiovasc Res 32(4):654–667CrossRef Pries AR, Secomb TW, Gaehtgens P (1996) Biophysical aspects of blood flow in the microvasculature. Cardiovasc Res 32(4):654–667CrossRef
51.
Zurück zum Zitat Pries AR, Secomb TW (2011) Microcirculatory blood flow: functional implications of a complex fluid. In: 3rd micro and nano flows conference, Thessaloniki, Greece, 22–24 August 2011, Brunel University, pp 22–24. ISBN: 978-1-902316-98-7 Pries AR, Secomb TW (2011) Microcirculatory blood flow: functional implications of a complex fluid. In: 3rd micro and nano flows conference, Thessaloniki, Greece, 22–24 August 2011, Brunel University, pp 22–24. ISBN: 978-1-902316-98-7
52.
Zurück zum Zitat Qiao A, Guo X, Wu S, Zeng Y, Xu X (2004) Numerical study of nonlinear pulsatile flow in S-shaped curved arteries. Med Eng Phys 26(7):545–552CrossRef Qiao A, Guo X, Wu S, Zeng Y, Xu X (2004) Numerical study of nonlinear pulsatile flow in S-shaped curved arteries. Med Eng Phys 26(7):545–552CrossRef
53.
Zurück zum Zitat Quarteroni A, Veneziani A, Zunino P (2002) Mathematical and numerical modelling of solute dynamics in blood flow and arterial walls. SIAM J Numer Anal 39(5):1488–1511CrossRefMathSciNet Quarteroni A, Veneziani A, Zunino P (2002) Mathematical and numerical modelling of solute dynamics in blood flow and arterial walls. SIAM J Numer Anal 39(5):1488–1511CrossRefMathSciNet
54.
Zurück zum Zitat Quarteroni A, Formaggia L (2004) Mathematical modeling and numerical simulation of the cardiovascular system. In: Ciarlet PG, Lions JL (eds) Modeling of living systems. Elsevier, Amsterdam Quarteroni A, Formaggia L (2004) Mathematical modeling and numerical simulation of the cardiovascular system. In: Ciarlet PG, Lions JL (eds) Modeling of living systems. Elsevier, Amsterdam
55.
Zurück zum Zitat Rannacher R (1999) Finite element methods for the incompressible Navier Stokes equations. Preprint Institute of Applied Mathematics, University of Heidelberg, Heidelberg Rannacher R (1999) Finite element methods for the incompressible Navier Stokes equations. Preprint Institute of Applied Mathematics, University of Heidelberg, Heidelberg
56.
Zurück zum Zitat René MW, Dragostinoff N, Palkovits S, Told R, Boltz A, Leitgeb RA, Gröschl M, Garhöfer G, Schmetterer L (2012) Measurement of absolute blood flow velocity and blood flow in the human retina by dual-beam bidirectional Doppler Fourier-domain optical coherence tomography. Invest Ophthalmol Vis Sci 53(10):6062–6071CrossRef René MW, Dragostinoff N, Palkovits S, Told R, Boltz A, Leitgeb RA, Gröschl M, Garhöfer G, Schmetterer L (2012) Measurement of absolute blood flow velocity and blood flow in the human retina by dual-beam bidirectional Doppler Fourier-domain optical coherence tomography. Invest Ophthalmol Vis Sci 53(10):6062–6071CrossRef
57.
Zurück zum Zitat Riva CE, Grunwald JE, Sinclair SH, Petrig BL (1985) Blood velocity and volumetric flow rate in human retinal vessels. Invest Ophthalmol Vis Sci 26(8):1124–1132 Riva CE, Grunwald JE, Sinclair SH, Petrig BL (1985) Blood velocity and volumetric flow rate in human retinal vessels. Invest Ophthalmol Vis Sci 26(8):1124–1132
59.
Zurück zum Zitat Steele BN, Olufsen MS, Taylor C (2007) Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions. Comput Methods Biomech Biomed Eng 10(1):39–51CrossRef Steele BN, Olufsen MS, Taylor C (2007) Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions. Comput Methods Biomech Biomed Eng 10(1):39–51CrossRef
60.
Zurück zum Zitat Stodtmeister R, Ventzke S, Spoerl E, Boehm AG, Terai N, Haustein M, Pillunat LE (2013) Enhanced pressure in the central retinal vein decreases the perfusion pressure in the prelaminar region of the optic nerve head. Invest Ophthalmol Vis Sci 54(7):4698–4704CrossRef Stodtmeister R, Ventzke S, Spoerl E, Boehm AG, Terai N, Haustein M, Pillunat LE (2013) Enhanced pressure in the central retinal vein decreases the perfusion pressure in the prelaminar region of the optic nerve head. Invest Ophthalmol Vis Sci 54(7):4698–4704CrossRef
61.
Zurück zum Zitat Sun N, Wood NB, Hughes AD, Thom S, Xu XY (2006) Fluid-wall modeling of mass transfer in an axisymmetric stenosis: effects of shear-dependent transport properties. Ann Biomed Eng 34(7):1119–1128CrossRef Sun N, Wood NB, Hughes AD, Thom S, Xu XY (2006) Fluid-wall modeling of mass transfer in an axisymmetric stenosis: effects of shear-dependent transport properties. Ann Biomed Eng 34(7):1119–1128CrossRef
62.
Zurück zum Zitat Takahashi T, Nagaoka T, Yanagida H, Saitoh T, Kamiya A, Hein T, Kuo L, Yoshida A (2009) A mathematical model for the distribution of hemodynamic parameters in the human retinal microvascular network. J Biorheol 23(2):77–86CrossRef Takahashi T, Nagaoka T, Yanagida H, Saitoh T, Kamiya A, Hein T, Kuo L, Yoshida A (2009) A mathematical model for the distribution of hemodynamic parameters in the human retinal microvascular network. J Biorheol 23(2):77–86CrossRef
63.
Zurück zum Zitat Williamson-Noble FA (1952) Venous pulsation. Trans Ophthalmol Soc 72:317–326 Williamson-Noble FA (1952) Venous pulsation. Trans Ophthalmol Soc 72:317–326
64.
Zurück zum Zitat Williamson TH, Baxter GM (1994) Central retinal vein occlusion, an investigation by color Doppler imaging. Blood velocity characteristics and prediction of iris neovascularization. Ophthalmology 101(8):1362–1372CrossRef Williamson TH, Baxter GM (1994) Central retinal vein occlusion, an investigation by color Doppler imaging. Blood velocity characteristics and prediction of iris neovascularization. Ophthalmology 101(8):1362–1372CrossRef
65.
Zurück zum Zitat Witt N, Wong TY, Hughes AD, Chaturvedi N, Klein BE, Evans R, McNamara M, Thom SA, Klein R (2006) Abnormalities of retinal microvascular structure and risk of mortality from ischemic heart disease and stroke. Hypertension 47(5):975–981CrossRef Witt N, Wong TY, Hughes AD, Chaturvedi N, Klein BE, Evans R, McNamara M, Thom SA, Klein R (2006) Abnormalities of retinal microvascular structure and risk of mortality from ischemic heart disease and stroke. Hypertension 47(5):975–981CrossRef
66.
Zurück zum Zitat Wolffsohn JS, Napper GA, Ho SM, Jaworski A, Pollard TL (2001) Improving the description of the retinal vasculature and patient history taking for monitoring systemic hypertension. Ophthalmic Physiol Opt 21(6):441–449CrossRef Wolffsohn JS, Napper GA, Ho SM, Jaworski A, Pollard TL (2001) Improving the description of the retinal vasculature and patient history taking for monitoring systemic hypertension. Ophthalmic Physiol Opt 21(6):441–449CrossRef
67.
Zurück zum Zitat Xie X, Wang Y, Zhu H, Zhou H, Zhou J (2013) Impact of coronary tortuosity on coronary blood supply: a patient-specific study. PLoS One 8(5):e64564–e64564CrossRef Xie X, Wang Y, Zhu H, Zhou H, Zhou J (2013) Impact of coronary tortuosity on coronary blood supply: a patient-specific study. PLoS One 8(5):e64564–e64564CrossRef
68.
Zurück zum Zitat Zhong Z, Song H, Chui TY, Petrig BL, Burns SA (2011) Noninvasive measurements and analysis of blood velocity profiles in human retinal vessels. Invest Ophthalmol Vis Sci 52(7):4151–4157CrossRef Zhong Z, Song H, Chui TY, Petrig BL, Burns SA (2011) Noninvasive measurements and analysis of blood velocity profiles in human retinal vessels. Invest Ophthalmol Vis Sci 52(7):4151–4157CrossRef
69.
Zurück zum Zitat Zvia BE (2012) The effect of diabetes mellitus on retinal function. In: Mohammad SO (ed) Diabetic retinopathy, InTech, pp 207–208. ISBN 978-953-51-0044-7 Zvia BE (2012) The effect of diabetes mellitus on retinal function. In: Mohammad SO (ed) Diabetic retinopathy, InTech, pp 207–208. ISBN 978-953-51-0044-7
Metadaten
Titel
Impact of retinal vascular tortuosity on retinal circulation
verfasst von
Jihene Malek
Ahmad Taher Azar
Rached Tourki
Publikationsdatum
01.01.2015
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 1/2015
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1657-2

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