Blood flow mechanics and oxygen transport and delivery in the retinal microcirculation: multiscale mathematical modeling and numerical simulation

[1]  A. Harris,et al.  Vascular Dysfunction in Diabetes and Glaucoma: A Complex Relationship Reviewed , 2015, Journal of glaucoma.

[2]  Ji Yi,et al.  A combined method to quantify the retinal metabolic rate of oxygen using photoacoustic ophthalmoscopy and optical coherence tomography , 2014, Scientific Reports.

[3]  Martin T. Wells,et al.  Nocturnal systemic hypotension increases the risk of glaucoma progression. , 2014, Ophthalmology.

[4]  R. Augsten,et al.  Investigation of blood flow regulation and oxygen saturation of the retinal vessels in primary open-angle glaucoma , 2014, Graefe's Archive for Clinical and Experimental Ophthalmology.

[5]  I. Kimura,et al.  Photoreceptor inner and outer segment layer thickness in multiple evanescent white dot syndrome , 2014, Graefe's Archive for Clinical and Experimental Ophthalmology.

[6]  Barry R. Masters Optical Devices in Ophthalmology and Optometry: Technology, Design Principles and Clinical Applications , 2014 .

[7]  J. Redón,et al.  Risk factors associated with retinal vein occlusion , 2014, International journal of clinical practice.

[8]  P. Kolar Risk Factors for Central and Branch Retinal Vein Occlusion: A Meta-Analysis of Published Clinical Data , 2014, Journal of ophthalmology.

[9]  Douglas R. Anderson,et al.  Ocular perfusion pressure in glaucoma , 2014, Acta ophthalmologica.

[10]  Giovanna Guidoboni,et al.  Intraocular pressure, blood pressure, and retinal blood flow autoregulation: a mathematical model to clarify their relationship and clinical relevance. , 2014, Investigative ophthalmology & visual science.

[11]  H. Oku,et al.  Treatment of systemic hypertension is important for improvement of macular edema associated with retinal vein occlusion , 2014, Clinical ophthalmology.

[12]  Francesco Agostini,et al.  A multiscale thermo-fluid computational model for a two-phase cooling system , 2014, 1404.0587.

[13]  Yoel Arieli,et al.  Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model. , 2014, Mathematical biosciences and engineering : MBE.

[14]  Giovanna Guidoboni,et al.  Theoretical analysis of vascular regulatory mechanisms contributing to retinal blood flow autoregulation. , 2013, Investigative ophthalmology & visual science.

[15]  Leopold Schmetterer,et al.  Measurement of absolute blood flow velocity and blood flow in the human retina by dual-beam bidirectional Doppler fourier-domain optical coherence tomography. , 2012, Investigative ophthalmology & visual science.

[16]  Einar Stefánsson,et al.  Retinal vessel oxygen saturation in healthy individuals. , 2012, Investigative ophthalmology & visual science.

[17]  Retinal vessel oxygen saturation under flicker light stimulation in patients with nonproliferative diabetic retinopathy. , 2012, Investigative ophthalmology & visual science.

[18]  J. Arciero,et al.  Theoretical Analysis Of Myogenic And Metabolic Responses In Retinal Blood Flow Autoregulation , 2012 .

[19]  P. Jenny,et al.  A Coupled Discrete/Continuum Model for Describing Cancer-Therapeutic Transport in the Lung , 2012, PLoS ONE.

[20]  T. Wong,et al.  How does hypertension affect your eyes? , 2012, Journal of Human Hypertension.

[21]  W. Romaniuk,et al.  Influence of rheological factors on the development of primary open angle glaucoma. , 2012, Klinika oczna.

[22]  Ş. Ţălu,et al.  Image analysis of the normal human retinal vasculature using fractal geometry. , 2012 .

[23]  Einar Stefánsson,et al.  Retinal oxygen saturation is altered in diabetic retinopathy , 2011, British Journal of Ophthalmology.

[24]  A. Vingrys,et al.  The role of blood pressure in glaucoma , 2011, Clinical & experimental optometry.

[25]  中林 征吾 Retinal arteriolar responses to acute severe elevation in systemic blood pressure in cats : role of endothelium-derived factors , 2011 .

[26]  F. Giorgino,et al.  Wound healing in diabetes: hemorheological and microcirculatory aspects. , 2011, Advances in experimental medicine and biology.

[27]  Reza Gharebaghi MD MPH FAAO PhDc,et al.  Non-arteritic anterior ischaemic optic neuropathy in Malaysia: a 5 years review. , 2011, International journal of ophthalmology.

[28]  P Ganesan,et al.  Analysis of retinal circulation using an image-based network model of retinal vasculature. , 2010, Microvascular research.

[29]  A. Coleman,et al.  Blood pressure, perfusion pressure, and glaucoma. , 2010, American journal of ophthalmology.

[30]  James B. Bassingthwaighte,et al.  Erratum to: Blood HbO2 and HbCO2 Dissociation Curves at Varied O2, CO2, pH, 2,3-DPG and Temperature Levels , 2010, Annals of Biomedical Engineering.

[31]  P. Ganesan,et al.  Development of an Image-Based Network Model of Retinal Vasculature , 2010, Annals of Biomedical Engineering.

[32]  J. Hollyfield,et al.  Developmental Anatomy of the Retinal and Choroidal Vasculature , 2010 .

[33]  Hirotaka Yanagida,et al.  A mathematical model for the distribution of hemodynamic parameters in the human retinal microvascular network , 2009 .

[34]  A D Hughes,et al.  Computational Analysis of Oxygen Transport in the Retinal Arterial Network , 2009, Current eye research.

[35]  N. Kerr,et al.  Non-arteritic anterior ischaemic optic neuropathy: A review and update , 2009, Journal of Clinical Neuroscience.

[36]  H. Reid,et al.  Alterations in hemorheological determinants and glycated hemoglobin in black diabetic patients with retinopathy. , 2009, Journal of the National Medical Association.

[37]  Alfio Quarteroni,et al.  Cardiovascular mathematics : modeling and simulation of the circulatory system , 2009 .

[38]  Bruce A. Stanton,et al.  Comprar Berne y Levy. Fisiología + Student Consult | Bruce A. Stanton | 9788480864343 | Elsevier España , 2009 .

[39]  Paolo Zunino,et al.  Mathematical models of mass transfer in the vascular walls , 2009 .

[40]  R. Weinreb Ocular blood flow in glaucoma. , 2009, Canadian journal of ophthalmology. Journal canadien d'ophtalmologie.

[41]  R. Avtar,et al.  Mathematical Modelling of Intraretinal Oxygen Partial Pressure , 2008 .

[42]  A. Harris,et al.  Dysfunctional regulation of ocular blood flow: A risk factor for glaucoma? , 2008, Clinical ophthalmology.

[43]  R. Weinreb,et al.  Relationships among systemic blood pressure, intraocular pressure, and open-angle glaucoma. , 2008, Canadian journal of ophthalmology. Journal canadien d'ophtalmologie.

[44]  Charles E. Riva,et al.  Regulation of retinal blood flow in health and disease , 2008, Progress in Retinal and Eye Research.

[45]  S. Hosking,et al.  Oxygenation and gender effects on photopic frequency-doubled contrast sensitivity , 2008, Vision Research.

[46]  S. Hayreh Role of retinal hypoxia in diabetic macular edema: a new concept , 2008, Graefe's Archive for Clinical and Experimental Ophthalmology.

[47]  Aleksander S Popel,et al.  A computational model of oxygen delivery by hemoglobin-based oxygen carriers in three-dimensional microvascular networks. , 2007, Journal of theoretical biology.

[48]  Paul Mitchell,et al.  The eye in hypertension , 2007, The Lancet.

[49]  James B. Bassingthwaighte,et al.  Nonlinear model for capillary-tissue oxygen transport and metabolism , 1997, Annals of Biomedical Engineering.

[50]  Norio Ohshima,et al.  Simulation of intraluminal gas transport processes in the microcirculation , 1995, Annals of Biomedical Engineering.

[51]  Ghassan S. Kassab,et al.  Analysis of pig’s coronary arterial blood flow with detailed anatomical data , 2007, Annals of Biomedical Engineering.

[52]  S. Cringle,et al.  Vitreal and retinal oxygenation , 2007, Graefe's Archive for Clinical and Experimental Ophthalmology.

[53]  C. Dangelo,et al.  Multiscale modelling of metabolism and transport phenomena in living tissues , 2007 .

[54]  C. Zawinka,et al.  Analysis of retinal vasodilation after flicker light stimulation in relation to vasospastic propensity. , 2006, Investigative ophthalmology & visual science.

[55]  Daniel X Hammer,et al.  Toward noninvasive measurement of blood hematocrit using spectral domain low coherence interferometry and retinal tracking. , 2006, Optics express.

[56]  D. Jaron,et al.  A compartmental model for oxygen-carbon dioxide coupled transport in the microcirculation , 1994, Annals of Biomedical Engineering.

[57]  Jen-shih Lee,et al.  A density method for determining plasma and red blood cell volume , 2006, Annals of Biomedical Engineering.

[58]  Robert A. Linsenmeier,et al.  Mathematical models of the spatial distribution of retinal oxygen tension and consumption, including changes upon illumination , 2006, Annals of Biomedical Engineering.

[59]  J. Lovasik,et al.  Systemic hyperoxia and retinal vasomotor responses. , 2005, Investigative ophthalmology & visual science.

[60]  M. W. Roos,et al.  Theoretical estimation of retinal oxygenation during retinal artery occlusion , 2004, Physiological measurement.

[61]  Yasmin S. Bradfield Atlas of Ocular Blood Flow: Vascular Anatomy,Pathophysiology, and Metabolism , 2004 .

[62]  James B. Bassingthwaighte,et al.  Modeling Advection and Diffusion of Oxygen in Complex Vascular Networks , 2001, Annals of Biomedical Engineering.

[63]  M. Olufsen,et al.  Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions , 2000, Annals of Biomedical Engineering.

[64]  S. Čanić,et al.  Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels , 2003 .

[65]  B. Alamouti,et al.  Retinal thickness decreases with age: an OCT study , 2003, The British journal of ophthalmology.

[66]  Josef Flammer,et al.  Rate of progression of glaucoma correlates with retrobulbar circulation and intraocular pressure. , 2003, American journal of ophthalmology.

[67]  N. D. Wangsa-Wirawan,et al.  Retinal Oxygen Fundamental and Clinical Aspects , 2003 .

[68]  M. Wolzt,et al.  Effect of inhalation of different mixtures of O2 and CO2 on retinal blood flow , 2002, The British journal of ophthalmology.

[69]  Aleksander S Popel,et al.  A compartmental model for oxygen transport in brain microcirculation in the presence of blood substitutes. , 2002, Journal of theoretical biology.

[70]  D. Laskin,et al.  Oxygen toxicity in premature infants. , 2002, Toxicology and applied pharmacology.

[71]  Dao-Yi Yu,et al.  A multi-layer model of retinal oxygen supply and consumption helps explain the muted rise in inner retinal PO(2) during systemic hyperoxia. , 2002, Comparative biochemistry and physiology. Part A, Molecular & integrative physiology.

[72]  Paolo Zunino,et al.  Mathematical and numerical modeling of mass transfer in the vascular system , 2002 .

[73]  Brian W. Pogue,et al.  Estimation of Oxygen Distribution in RIF-1 Tumors by Diffusion Model-Based Interpretation of Pimonidazole Hypoxia and Eppendorf Measurements , 2001, Radiation research.

[74]  A. Popel,et al.  A computational study of the effect of capillary network anastomoses and tortuosity on oxygen transport. , 2000, Journal of theoretical biology.

[75]  D. Schweitzer,et al.  In vivo measurement of the oxygen saturation of retinal vessels in healthy volunteers , 1999, IEEE Transactions on Biomedical Engineering.

[76]  J. Beach,et al.  Oximetry of retinal vessels by dual-wavelength imaging: calibration and influence of pigmentation. , 1999, Journal of applied physiology.

[77]  S. Cohen,et al.  A new pressure attenuation index to evaluate retinal circulation. A link to protective factors in diabetic retinopathy. , 1999, Archives of ophthalmology.

[78]  C. R. Ethier,et al.  Oxygen mass transfer calculations in large arteries. , 1997, Journal of biomechanical engineering.

[79]  H. Becker,et al.  Effect of different levels of hyperoxia on breathing in healthy subjects. , 1996, Journal of applied physiology.

[80]  M. Nicolela,et al.  Color Doppler imaging in patients with asymmetric glaucoma and unilateral visual field loss. , 1996, American journal of ophthalmology.

[81]  T K Goldstick,et al.  Oxygen consumption in the inner and outer retina of the cat. , 1995, Investigative ophthalmology & visual science.

[82]  D Jaron,et al.  Contributions of oxygen dissociation and convection to the behavior of a compartmental oxygen transport model. , 1993, Microvascular research.

[83]  D. Snodderly,et al.  Neural-vascular relationships in central retina of macaque monkeys (Macaca fascicularis) , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[84]  C E Riva,et al.  Total retinal volumetric blood flow rate in diabetic patients with poor glycemic control. , 1992, Investigative ophthalmology & visual science.

[85]  R. Linsenmeier,et al.  Oxygen distribution and consumption in the cat retina during normoxia and hypoxemia , 1992, The Journal of general physiology.

[86]  R. K. Smith,et al.  Some upwinding techniques for finite element approximations of convection-diffusion equations , 1990 .

[87]  J. Olson,et al.  A simple model for prediction of oxygen transport rates by flowing blood in large capillaries. , 1990, Microvascular research.

[88]  B. Masters,et al.  Fractal pattern formation in human retinal vessels , 1989 .

[89]  A. Pries,et al.  Red cell distribution at microvascular bifurcations. , 1989, Microvascular research.

[90]  A. Popel,et al.  Theory of oxygen transport to tissue. , 1989, Critical reviews in biomedical engineering.

[91]  E. Stefánsson,et al.  Retinal blood flow and its autoregulation measured by intraocular hydrogen clearance. , 1988, Experimental eye research.

[92]  R K Jain,et al.  Transport of molecules in the tumor interstitium: a review. , 1987, Cancer research.

[93]  R. Linsenmeier,et al.  Effects of light and darkness on oxygen distribution and consumption in the cat retina , 1986, The Journal of general physiology.

[94]  M. Tsacopoulos,et al.  Regulation of local oxygen tension and blood flow in the inner retina during hyperoxia. , 1986, Journal of applied physiology.

[95]  B L Petrig,et al.  Blood velocity and volumetric flow rate in human retinal vessels. , 1985, Investigative ophthalmology & visual science.

[96]  C E Riva,et al.  Laser Doppler Velocimetry study of the effect of pure oxygen breathing on retinal blood flow. , 1983, Investigative ophthalmology & visual science.

[97]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[98]  Timothy J. Pedley,et al.  The fluid mechanics of large blood vessels , 1980 .

[99]  N. J. David,et al.  The effect of arterial PO2 on relative retinal blood flow in monkeys. , 1975, Investigative ophthalmology.

[100]  P. Nair,et al.  Mass transfer, storage, and utilization of O2 in cat cerebral cortex. , 1970, The American journal of physiology.

[101]  H. Metzger Distribution of oxygen partial pressure in a two-dimensional tissue supplied by capillary meshes and concurrent and countercurrent systems , 1969 .

[102]  J. Hickam,et al.  Studies of the Retinal Circulation in Man: Observations on Vessel Diameter, Arteriovenous Oxygen Difference, and Mean Circulation Time , 1966, Circulation.

[103]  J. Haldane,et al.  The effects of respiration of oxygen on breathing and circulation , 1921, The Journal of physiology.