A. V. Stanton and B. Wasan, Vascular network changes in the retina with age and hypertension, Journal of Hypertension, vol.13, p.17241728, 1995.

. Al-diri, A. Bashir, D. Hunter, and . Steel, An Active Contour Model for Segmenting and Measuring Retinal Vessels, IEEE Transactions on Medical Imaging, vol.28, issue.9, pp.1488-1497, 2009.
DOI : 10.1109/TMI.2009.2017941

N. Witt, Abnormalities of Retinal Microvascular Structure and Risk of Mortality From Ischemic Heart Disease and Stroke, Hypertension, vol.47, issue.5, pp.975-981, 2006.
DOI : 10.1161/01.HYP.0000216717.72048.6c

N. Cheung, Quantitative Assessment of Early Diabetic Retinopathy Using Fractal Analysis, Diabetes Care, vol.32, issue.1, pp.106-110, 2009.
DOI : 10.2337/dc08-1233

A. D. Hughes, Quantification of topological changes in retinal vascular architecture in essential and malignant hypertension, Journal of Hypertension, vol.24, issue.5, pp.889-894, 2006.
DOI : 10.1097/01.hjh.0000222759.61735.98

. Al-diri and . Bashir, Joining retinal vessel segments, 2008 8th IEEE International Conference on BioInformatics and BioEngineering, 2008.
DOI : 10.1109/BIBE.2008.4696792

A. Can, Rapid automated tracing and feature extraction from retinal fundus images using direct exploratory algorithms, Information Technology in Biomedicine IEEE Transactions on, vol.32, pp.125-138, 1999.

T. Qureshi, A. Ahmad, and . Hunter, A Bayesian Framework for the Local Configuration of Retinal Junctions, 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014.
DOI : 10.1109/CVPR.2014.397

C. Tsai, Model-Based Method for Improving the Accuracy and Repeatability of Estimating Vascular Bifurcations and Crossovers From Retinal Fundus Images, IEEE Transactions on Information Technology in Biomedicine, vol.8, issue.2, pp.122-130, 2004.
DOI : 10.1109/TITB.2004.826733

A. F. Frangi, Multiscale vessel enhancement filtering Medical Image Computing and Computer-Assisted InterventationMIC- CAI98, pp.130-137, 1998.
DOI : 10.1007/bfb0056195

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

J. J. Staal, M. D. Abramoff, M. Niemeijer, M. A. Viergever, and B. Van-ginneken, Ridge-Based Vessel Segmentation in Color Images of the Retina, IEEE Transactions on Medical Imaging, vol.23, issue.4, pp.501-509, 2004.
DOI : 10.1109/TMI.2004.825627

S. Chaudhuri, Detection of blood vessels in retinal images using two-dimensional matched filters, IEEE Transactions on Medical Imaging, vol.8, issue.3, pp.263-269, 1989.
DOI : 10.1109/42.34715

P. Gregson, Z. Shen, R. Scott, and V. Kozousek, Automated Grading of Venous Beading, Computers and Biomedical Research, vol.28, issue.4, pp.291-304, 1995.
DOI : 10.1006/cbmr.1995.1020

J. C. Arciero, B. E. Carlson, and T. W. Secomb, Theoretical model of metabolic blood flow regulation: roles of ATP release by red blood cells and conducted responses, AJP: Heart and Circulatory Physiology, vol.295, issue.4, pp.1562-1571, 2008.
DOI : 10.1152/ajpheart.00261.2008

[. Al-diri, A. Hunter, and D. Steel, An Active Contour Model for Segmenting and Measuring Retinal Vessels, IEEE Transactions on Medical Imaging, vol.28, issue.9, pp.1488-1497, 2009.
DOI : 10.1109/TMI.2009.2017941

M. Aletti, J. Gerbeau, and D. Lombardi, Modeling autoregulation in three-dimensional simulations of retinal hemodynamics, Journal for Modeling in Ophthalmology, vol.1, issue.1, pp.88-115, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01242748

M. Aletti, J. Gerbeau, and D. Lombardi, A simplified fluid?structure model for arterial flow. Application to retinal hemodynamics, Computer Methods in Applied Mechanics and Engineering, vol.306, pp.77-94, 2016.
DOI : 10.1016/j.cma.2016.03.044

URL : https://hal.archives-ouvertes.fr/hal-01296940

J. [. Astorino, O. Gerbeau, K. Pantz, and . Traoré, Fluid???structure interaction and multi-body contact: Application to aortic valves, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.45-46, pp.3603-3612, 2009.
DOI : 10.1016/j.cma.2008.09.012

URL : https://hal.archives-ouvertes.fr/inria-00300770

J. Arciero, A. Harris, B. Siesky, A. Amireskandari, V. Gershuny et al., Theoretical Analysis of Vascular Regulatory Mechanisms Contributing to Retinal Blood Flow Autoregulation, Investigative Opthalmology & Visual Science, vol.54, issue.8, pp.5584-5593, 2013.
DOI : 10.1167/iovs.12-11543

V. I. Agoshkov and V. I. Lebedev, Poincaré-Steklov's operators and the methods of partition of the domain in variational problems, Computational Processes and Systems, pp.173-227, 1985.

M. Aletti and D. Lombardi, A reduced-order representation of the Poincar?-Steklov operator: an application to coupled multi-physics problems, International Journal for Numerical Methods in Engineering, vol.30, issue.2, 2017.
DOI : 10.1137/060678439

A. Alm, F. Siv, and . Nilsson, Uveoscleral outflow ? A review, Experimental Eye Research, vol.88, issue.4, pp.760-768, 2009.
DOI : 10.1016/j.exer.2008.12.012

[. Aletti, S. Perotto, and A. Veneziani, Educated bases for the HiMod reduction of advection-diffusion-reaction problems with general boundary conditions, 2015.

R. Avtar and R. Srivastava, Modelling the flow of aqueous humor in anterior chamber of the eye, Applied Mathematics and Computation, vol.181, issue.2, pp.1336-1348, 2006.
DOI : 10.1016/j.amc.2006.03.002

[. Amsallem, J. Matthew, K. Zahr, and . Washabaugh, Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction, Advances in Computational Mathematics, vol.40, issue.11, pp.1187-1230, 2015.
DOI : 10.1007/s10444-015-9409-0

C. Bertoglio, D. Barber, N. Gaddum, I. Valverde, M. Rutten et al., Identification of artery wall stiffness: In vitro validation and in vivo results of a data assimilation procedure applied to a 3D fluid?structure interaction model, Journal of Biomechanics, vol.47, issue.5, pp.471027-1034, 2014.
DOI : 10.1016/j.jbiomech.2013.12.029

URL : https://hal.archives-ouvertes.fr/hal-00925902

K. Blum, D. Bachmann, T. Wintzer, W. Riemer, J. Vilser et al., Noninvasive measurement of the bayliss effect in retinal autoregulation. Graefe's archive for clinical and experimental ophthalmology, pp.296-300, 1999.

. Buka?, R. ?ani?, B. Glowinski, A. Muha, and . Quaini, A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures, International Journal for Numerical Methods in Fluids, vol.197, issue.49-50, pp.577-604, 2014.
DOI : 10.1002/fld.3863

Y. Bazilevs, Y. Vm-calo, . Zhang, J. Thomas, and . Hughes, Isogeometric Fluid?structure Interaction Analysis with Applications to Arterial Blood Flow, Computational Mechanics, vol.193, issue.2, pp.310-322, 2006.
DOI : 10.1007/s00466-006-0084-3

T. Bek, Regional morphology and pathophysiology of retinal vascular disease. Progress in retinal and eye research, pp.247-259, 2013.

E. Burman, A. Miguel, and . Fernández, Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling, International Journal for Numerical Methods in Engineering, vol.13, issue.1, pp.739-758, 2014.
DOI : 10.1002/nme.4607

URL : https://hal.archives-ouvertes.fr/hal-00819948

N. Paul and . Bishop, Structural macromolecules and supramolecular organisation of the vitreous gel, Progress in retinal and eye research, vol.19, issue.3, pp.323-344, 2000.

J. Bergh and J. Lofstrom, Interpolation spaces: an introduction, 2012.
DOI : 10.1007/978-3-642-66451-9

J. Beswick and C. Mcculloch, Effect of Hyaluronidase on the Viscosity of the Aqueous Humour, British Journal of Ophthalmology, vol.40, issue.9, p.545, 1956.
DOI : 10.1136/bjo.40.9.545

R. Bélanger-rioux and L. Demanet, Compressed Absorbing Boundary Conditions via Matrix Probing, SIAM Journal on Numerical Analysis, vol.53, issue.5, pp.2441-2471, 2015.
DOI : 10.1137/14095563X

[. Calivà, M. Aletti, B. Al-diri, and A. Hunter, A new tool to connect blood vessels in fundus retinal images, 2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp.4343-4346, 2015.
DOI : 10.1109/EMBC.2015.7319356

C. M. Colciago, S. Deparis, and A. Quarteroni, Comparisons between reduced order models and full 3D models for fluid?structure interaction problems in haemodynamics, Journal of Computational and Applied Mathematics, vol.265, pp.120-138, 2014.
DOI : 10.1016/j.cam.2013.09.049

T. Crowder, J. Vincent, and . Ervin, Numerical simulations of fluid pressure in the human eye, Applied Mathematics and Computation, vol.219, issue.24, pp.11119-11133, 2013.
DOI : 10.1016/j.amc.2013.04.060

[. Canning, . Greaney, A. Jn-dewynne, and . Fitt, Fluid flow in the anterior chamber of a human eye, Mathematical Medicine and Biology, vol.19, issue.1, pp.31-60, 2002.
DOI : 10.1093/imammb/19.1.31

P. Causin, G. Guidoboni, A. Harris, D. Prada, R. Sacco et al., A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head, Mathematical Biosciences, vol.257, pp.33-41, 2014.
DOI : 10.1016/j.mbs.2014.08.002

J. [. Causin, F. Gerbeau, and . Nobile, Added-mass effect in the design of partitioned algorithms for fluid???structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.42-44, pp.42-444506, 2005.
DOI : 10.1016/j.cma.2004.12.005

URL : https://hal.archives-ouvertes.fr/hal-00695954

[. Chapelle, J. Gerbeau, I. Sainte-marie, and . Vignon, A poroelastic model valid in large strains with applications to perfusion in cardiac modeling, Computational Mechanics, vol.130, issue.5, pp.91-101, 2010.
DOI : 10.1007/s00466-009-0452-x

URL : https://hal.archives-ouvertes.fr/hal-00592688

[. Cheng, Fundamentals of poroelasticity. Analysis and Design Methods: Comprehensive Rock Engineering: Principles , Practice and Projects, 2014.

M. [. Canuto, A. Hussaini, T. A. Quarteroni, and . Zang, Spectral Methods, 2007.
DOI : 10.1002/0470091355.ecm003m

URL : https://hal.archives-ouvertes.fr/hal-01296839

F. Calivà, G. Leontidis, P. Chudzik, A. Hunter, and L. Antiga, Hemodynamics in the retinal vasculature during the progression of diabetic retinopathy, Journal for modeling in Ophthalmology, 2017.

P. Causin and F. Malgaroli, A MATHEMATICAL AND COMPUTATIONAL MODEL OF BLOOD FLOW REGULATION IN MICROVESSELS: APPLICATION TO THE EYE RETINA CIRCULATION, Journal of Mechanics in Medicine and Biology, vol.23, issue.02, p.1540027, 2015.
DOI : 10.1007/s00285-002-0177-3

P. Causin and F. Malgaroli, Blood flow repartition in distensible microvascular networks: Implication of interstitial and outflow pressure conditions, Journal of Coupled Systems and Multiscale Dynamics, vol.4, issue.1, pp.14-24, 2016.
DOI : 10.1166/jcsmd.2016.1092

G. Paul, . Constantine, T. Eric, T. M. Phipps, and . Wildey, Efficient uncertainty propagation for network multiphysics systems, International Journal for Numerical Methods in Engineering, vol.99, issue.3, pp.183-202, 2014.

P. Crosetto, P. Reymond, S. Deparis, D. Kontaxakis, N. Stergiopulos et al., Fluid?structure interaction simulation of aortic blood flow, Computers & Fluids, vol.43, issue.1, pp.46-57, 2011.
DOI : 10.1016/j.compfluid.2010.11.032

[. Chacon-rebollo, V. Girault, F. Murat, and O. Pironneau, Analysis of a Simplified Coupled Fluid-Structure Model for Computational Hemodynamics, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01003208

[. Cao, L. Zhang, W. Allegretto, and Y. Lin, Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media, SIAM Journal on Numerical Analysis, vol.51, issue.1, pp.273-296, 2013.
DOI : 10.1137/110850876

[. Deparis, M. Discacciati, G. Fourestey, and A. Quarteroni, Fluid?structure algorithms based on Steklov?Poincar? operators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.5797-5812, 2006.
DOI : 10.1016/j.cma.2005.09.029

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

J. Martin, . Dumskyj, E. Jesper, C. J. Eriksen, . Doré et al., Autoregulation in the human retinal circulation: assessment using isometric exercise, laser doppler velocimetry, and computerassisted image analysis, Microvascular research, vol.51, issue.3, pp.378-392, 1996.

[. Deparis, D. Forti, P. Gervasio, and A. Quarteroni, INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces, Computers & Fluids, vol.141, 2016.
DOI : 10.1016/j.compfluid.2016.03.033

I. Anna, . Dastiridou, S. Harilaos, D. Ginis, . De-brouwere et al., Ocular rigidity, ocular pulse amplitude, and pulsatile ocular blood flow: the effect of intraocular pressure, Investigative ophthalmology & visual science, issue.12, pp.505718-5722, 2009.

J. Douglas and C. Huang, An accelerated domain decomposition procedure based on robin transmission conditions, BIT Numerical Mathematics, vol.65, issue.3, pp.678-686, 1997.
DOI : 10.1007/BF02510246

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

M. Discacciati and A. Quarteroni, chapter Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations, Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, pp.3-20, 2001.

T. David, S. Smye, T. Dabbs, and T. James, A model for the fluid motion of vitreous humour of the human eye during saccadic movement, Physics in Medicine and Biology, vol.43, issue.6, p.1385, 1998.
DOI : 10.1088/0031-9155/43/6/001

L. Jens, . Eftang, T. Anthony, and . Patera, A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and a posteriori error estimation, Advanced Modeling and Simulation in Engineering Sciences, vol.1, issue.1, p.1, 2014.

[. Ferreira, P. De-oliveira, M. Pascoal, J. Silva, and . Murta, Numerical simulation of aqueous humor flow: From healthy to pathologic situations, Applied Mathematics and Computation, vol.226, pp.777-792, 2014.
DOI : 10.1016/j.amc.2013.10.070

A. Fitt and G. Gonzalez, Fluid Mechanics of the Human Eye: Aqueous Humour Flow in The Anterior Chamber, Bulletin of Mathematical Biology, vol.12, issue.1, pp.53-71, 2006.
DOI : 10.1007/s11538-005-9015-2

M. A. Fernández and J. Gerbeau, Algorithms for fluid-structure interaction problems
DOI : 10.1007/978-88-470-1152-6_9

A. Miguel, J. Fernández, S. Gerbeau, and . Smaldone, Explicit coupling schemes for a fluid-fluid interaction problem arising in hemodynamics, SIAM Journal on Scientific Computing, vol.36, issue.6, pp.2557-2583, 2014.

M. Farhat, L. Lesoinne, and . Tallec, Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.95-114, 1998.
DOI : 10.1016/S0045-7825(97)00216-8

A. Miguel, M. Fernández, M. Landajuela, and . Vidrascu, Fully decoupled time-marching schemes for incompressible fluid/thinwalled structure interaction, Journal of Computational Physics, vol.297, pp.156-181, 2015.

Z. Fang, P. David, and . Nicholls, An operator expansions method for computing Dirichlet?Neumann operators in linear elastodynamics, Journal of Computational Physics, vol.272, pp.266-278, 2014.
DOI : 10.1016/j.jcp.2014.04.038

A. Figueroa, I. E. Vignon-clementel, E. Kenneth, . Jansen, J. Thomas et al., A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.1955685-5706, 2006.
DOI : 10.1016/j.cma.2005.11.011

O. Gendre, P. Allix, and . Gosselet, A two-scale approximation of the Schur complement and its use for non-intrusive coupling, International Journal for Numerical Methods in Engineering, vol.64, issue.1-4, pp.889-905, 2011.
DOI : 10.1002/nme.3142

URL : https://hal.archives-ouvertes.fr/hal-01224373

G. Guidoboni, A. Harris, L. Carichino, Y. Arieli, A. Brent et al., Effect of intraocular pressure on the hemodynamics of the central retinal artery: A mathematical model, Mathematical Biosciences and Engineering, vol.11, issue.3, pp.523-546, 2014.
DOI : 10.3934/mbe.2014.11.523

G. Guidoboni, A. Harris, S. Cassani, J. Arciero, and B. Siesky, Intraocular pressure, blood pressure, and retinal blood flow autoregulation: A mathematical Bibliography 149

R. Grytz and G. Meschke, Constitutive modeling of crimped collagen fibrils in soft tissues, Journal of the Mechanical Behavior of Biomedical Materials, vol.2, issue.5, pp.522-533, 2009.
DOI : 10.1016/j.jmbbm.2008.12.009

R. Grytz and G. Meschke, A computational remodeling approach to predict the physiological architecture of the collagen fibril network in corneo-scleral shells, Biomechanics and Modeling in Mechanobiology, vol.14, issue.8, pp.225-235, 2010.
DOI : 10.1007/s10237-009-0173-2

R. Grytz, G. Meschke, B. Jost, and . Jonas, The collagen fibril architecture in the lamina cribrosa and peripapillary sclera predicted by a computational remodeling approach, Biomechanics and Modeling in Mechanobiology, vol.50, issue.12, pp.371-382, 2011.
DOI : 10.1007/s10237-010-0240-8

A. Gholami, D. Malhotra, H. Sundar, and G. Biros, FFT, FMM, or Multigrid? a comparative study of state-of-the-art Poisson solvers in the unit cube, SIAM Journal on Scientific Computing, vol.38, 2016.

K. Gostaf and O. Pironneau, Pressure boundary conditions for blood flows, Chinese Annals of Mathematics, Series B, vol.195, issue.5, 2013.
DOI : 10.1007/s11401-015-0983-8

URL : https://hal.archives-ouvertes.fr/hal-00865671

[. Goel, R. G. Picciani, K. Richard, . Lee, K. Sanjoy et al., Aqueous humor dynamics: a review. The open ophthalmology journal, 2010.

C. Geuzaine and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.791309-1331, 2009.
DOI : 10.1002/nme.2579

. Grunwald, . Riva, . Stone, B. Eu-keates, and . Petrig, Retinal Autoregulation in Open-angle Glaucoma, Ophthalmology, vol.91, issue.12, pp.911690-1694, 1984.
DOI : 10.1016/S0161-6420(84)34091-X

. Hab-+-96-]-alon, O. Harris, K. Arend, E. Bohnke, R. Kroepfl et al., Retinal blood flow during dynamic exercise. Graefe's archive for clinical and experimental ophthalmology, pp.440-444, 1996.

J. Jeffrey, . Heys, H. Victor, and . Barocas, A boussinesq model of natural convection in the human eye and the formation of krukenberg's spindle, Annals of biomedical engineering, vol.30, issue.3, pp.392-401, 2002.

J. Jeffrey, . Heys, H. Victor, . Barocas, J. Michael et al., Modeling passive mechanical interaction between aqueous humor and iris, Journal of biomechanical engineering, vol.123, issue.6, pp.540-547, 2001.

. Hga-+-13-]-alon, G. Harris, . Guidoboni, C. Julia, A. Arciero et al., Ocular hemodynamics and glaucoma: the role of mathematical modeling, European journal of ophthalmology, vol.23, issue.2, p.139, 2013.

L. Robert, . Hester, W. Leah, and . Hammer, Venular-arteriolar communication in the regulation of blood flow, American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, vol.282, issue.5, pp.1280-1285, 2002.

D. B. , P. Huynh, J. David, . Knezevic, T. Anthony et al., A static condensation reduced basis element method: approximation and a posteriori error estimation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.47, issue.1, pp.213-251, 2013.

C. Hai, A. Richard, and . Murphy, Cross-bridge phosphorylation and regulation of latch state in smooth muscle, Am J Physiol, vol.254, issue.1

L. Iapichino, A. Quarteroni, and G. Rozza, Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries, Computers & Mathematics with Applications, vol.71, issue.1, pp.408-430, 2016.
DOI : 10.1016/j.camwa.2015.12.001

P. Jeppesen, C. Aalkjaer, and T. Bek, Myogenic response in isolated porcine retinal arterioles, Current Eye Research, vol.79, issue.1, pp.217-222, 2003.
DOI : 10.1076/ceyr.

S. Jouzdani, R. Amini, H. Victor, and . Barocas, Contribution of Different Anatomical and Physiologic Factors to Iris Contour and Anterior Chamber Angle Changes During Pupil Dilation: Theoretical Analysis, Investigative Opthalmology & Visual Science, vol.54, issue.4, pp.2977-2984, 2013.
DOI : 10.1167/iovs.12-10748

J. Peter-jeppesen, T. Sanye-hajari, and . Bek, Increased Blood Pressure Induces a Diameter Response of Retinal Arterioles that Increases with Decreasing Arteriolar Diameter, Investigative Opthalmology & Visual Science, vol.48, issue.1, pp.328-331, 2007.
DOI : 10.1167/iovs.06-0360

[. Kumar, S. Acharya, R. Beuerman, and A. Palkama, Numerical Solution of Ocular Fluid Dynamics in a Rabbit Eye: Parametric Effects, Annals of Biomedical Engineering, vol.32, issue.2, pp.530-544, 2006.
DOI : 10.1007/s10439-005-9048-6

. Kiel, . Hollingsworth, . Rao, H. Chen, and . Reitsamer, Ciliary blood flow and aqueous humor production, Progress in retinal and eye research, pp.1-17, 2011.
DOI : 10.1016/j.preteyeres.2010.08.001

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3010334

J. W. Kiel, Physiology of the intraocular pressure, Pathophysiology of the eye: Glaucoma, chapter 3, pp.79-107, 1998.

S. Kotha and L. Murtomäki, Virtual pharmacokinetic model of human eye, Mathematical Biosciences, vol.253, pp.11-18, 2014.
DOI : 10.1016/j.mbs.2014.03.014

M. Eva, V. Kohner, . Patel, M. Salwan, and . Rassam, Role of blood flow and impaired autoregulation in the pathogenesis of diabetic retinopathy, Diabetes, vol.44, issue.6, pp.603-607, 1995.

C. Krakau, Calculation of the pulsatile ocular blood flow, Investigative ophthalmology & visual science, vol.33, issue.9, pp.2754-2756, 1992.

J. Kiel and A. Shepherd, Autoregulation of choroidal blood flow in the rabbit, Investigative ophthalmology & visual science, vol.33, issue.8, pp.2399-2410, 1992.

N. Boris, G. Khoromskij, and . Wittum, Numerical solution of elliptic differential equations by reduction to the interface, 2012.

M. Alan and . Laties, Central retinal artery innervation: absence of adrenergic innervation to the intraocular branches, Archives of Ophthalmology, vol.77, issue.3, pp.405-409, 1967.

E. Maurice, . Langham, A. Richard, . Farrell, O. Vivian et al., Blood flow in the human eye, Acta Ophthalmologica, vol.67, issue.S191, pp.9-13, 1989.

J. Lowell, A. Hunter, D. Steel, A. Basu, R. Ryder et al., Measurement of Retinal Vessel Widths From Fundus Images Based on 2-D Modeling, IEEE Transactions on Medical Imaging, vol.23, issue.10, pp.1196-1204, 2004.
DOI : 10.1109/TMI.2004.830524

B. Lee, G. Litt, and . Buchsbaum, Rheology of the vitreous body. part i: Viscoelasticity of human vitreous, Biorheology, vol.29, pp.5-6521, 1991.

H. Liew, M. Peter, and . Pinsky, Matrix-Pad? via Lanczos solutions for vibrations of fluid-structure interaction, International Journal for Numerical Methods in Engineering, vol.7, issue.7, pp.1183-1204, 2010.
DOI : 10.1002/nme.2936

T. Bao, L. , and F. Sotiropoulos, Fluid?structure interaction of an aortic heart valve prosthesis driven by an animated anatomic left ventricle, Multi-scale Modeling and Simulation of Biological Systems, pp.41-62, 2013.

A. Modarreszadeh and O. Abouali, Numerical simulation for unsteady motions of the human vitreous humor as a viscoelastic substance in linear and non-linear regimes, Journal of Non-Newtonian Fluid Mechanics, vol.204, pp.22-31, 2014.
DOI : 10.1016/j.jnnfm.2013.12.001

. Mbx-+-12-]-p, C. Moireau, N. Bertoglio, C. A. Xiao, C. Figueroa et al., Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data, Biomechanics and Modeling in Mechanobiology, vol.12, issue.3, pp.475-496, 2012.

W. Jay and . Mclaren, Measurement of aqueous humor flow, Experimental eye research, vol.88, issue.4, pp.641-647, 2009.

R. William and . Milnor, Cardiovascular physiology, 1990.

S. Murtada, M. Kroon, and G. A. Holzapfel, A calcium-driven mechanochemical model for prediction of force generation in smooth muscle, Biomechanics and Modeling in Mechanobiology, vol.287, issue.6, pp.749-762, 2010.
DOI : 10.1007/s10237-010-0211-0

A. Robert and . Moses, Intraocular pressure. Adler ? 2019s Physiology of the Eye: clinical application, pp.223-245, 1987.

D. Luisa, A. Marini, and . Quarteroni, A relaxation procedure for domain decomposition methods using finite elements, Numerische Mathematik, vol.55, issue.5, pp.575-598, 1989.

G. Martini, B. Rozza, and . Haasdonk, Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system, Advances in Computational Mathematics, vol.94, issue.3, pp.1131-1157, 2015.
DOI : 10.1007/s10444-014-9396-6

G. Mauri, L. Sala, P. Airoldi, G. Novielli, R. Sacco et al., Electro-fluid dynamics of aqueous humor production: simulations and new directions, Journal for Modeling in Ophthalmology, vol.1, issue.2, pp.48-58, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01479238

. Mxa-+-12-]-p, N. Moireau, M. Xiao, C. A. Astorino, D. Figueroa et al., External tissue support and fluid-structure simulation in blood flows, Biomechanics and Modeling in Mechanobiology, vol.11, issue.1, pp.1-18, 2012.

[. Natarajan, Domain Decomposition Using Spectral Expansions of Steklov?Poincar? Operators, SIAM Journal on Scientific Computing, vol.16, issue.2, pp.470-495, 1995.
DOI : 10.1137/0916029

[. Natarajan, Domain Decomposition using Spectral Expansions of Steklov--Poincar? Operators II: A Matrix Formulation, SIAM Journal on Scientific Computing, vol.18, issue.4, pp.1187-1199, 1997.
DOI : 10.1137/S1064827594274309

F. Negri, A. Manzoni, and D. Amsallem, Efficient model reduction of parametrized systems by matrix discrete empirical interpolation, Journal of Computational Physics, vol.303, pp.431-454, 2015.
DOI : 10.1016/j.jcp.2015.09.046

T. Nagaoka, F. Mori, and A. Yoshida, Retinal artery response to acute systemic blood pressure increase during cold pressor test in humans, Investigative ophthalmology & visual science, vol.43, issue.6, pp.1941-1945, 2002.

C. [. Nobile and . Vergara, An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions, SIAM Journal on Scientific Computing, vol.30, issue.2, pp.731-763, 2008.
DOI : 10.1137/060678439

[. Ometto, M. Erlandsen, A. Hunter, and T. Bek, The role of retinopathy distribution and other lesion types for the definition of examination intervals during screening for diabetic retinopathy, Acta Ophthalmologica, vol.8, issue.4, 2016.
DOI : 10.1371/journal.pone.0067863

. Ean-hin, E. Ooi, and . Ng, Simulation of aqueous humor hydrodynamics in human eye heat transfer. Computers in biology and medicine, pp.252-262, 2008.

A. Pandolfi, A. Gerhard, and . Holzapfel, Three-Dimensional Modeling and Computational Analysis of the Human Cornea Considering Distributed Collagen Fibril Orientations, Journal of Biomechanical Engineering, vol.130, issue.6, p.61006, 2008.
DOI : 10.1115/1.2982251

[. Pironneau, Simplified Fluid-Structure Interactions for Hemodynamics, Numerical Simulations of Coupled Problems in Engineering, pp.57-70, 2014.
DOI : 10.1007/978-3-319-06136-8_3

URL : https://hal.archives-ouvertes.fr/hal-00907402

[. Pries, M. Ley, P. Claassen, and . Gaehtgens, Red cell distribution at microvascular bifurcations, Microvascular Research, vol.38, issue.1, pp.81-101, 1989.
DOI : 10.1016/0026-2862(89)90018-6

A. Pries, P. Neuhaus, and . Gaehtgens, Blood viscosity in tube flow: dependence on diameter and hematocrit, American Journal of Physiology, vol.263, pp.1770-1770, 1992.

J. Constantin, E. Pournaras, . Rungger-brändle, E. Charles, . Riva et al., Regulation of retinal blood flow in health and disease, Progress in retinal and eye research, pp.284-330, 2008.

T. Perez-rovira, . Macgillivray, . Trucco, . Ks-chin, C. Zutis et al., VAMPIRE: Vessel assessment and measurement platform for images of the REtina, 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.3391-3394, 2011.
DOI : 10.1109/IEMBS.2011.6090918

R. Rodrigo, M. A. Paz, and . Storti, An interface strip preconditioner for domain decomposition methods: application to hydrology, International journal for numerical methods in engineering, vol.62, issue.13, pp.1873-1894, 2005.

A. Pandolfi and M. Vasta, Fiber distributed hyperelastic modeling of biological tissues, Mechanics of Materials, vol.44, pp.151-162, 2012.
DOI : 10.1016/j.mechmat.2011.06.004

B. Peherstorfer and K. Willcox, Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates, SIAM Journal on Scientific Computing, vol.37, issue.4, pp.2123-2150, 2015.
DOI : 10.1137/140989169

A. Quarteroni and G. Rozza, Reduced Order Methods for Modeling and Computational Reduction, 2014.
DOI : 10.1007/978-3-319-02090-7

A. Quarteroni and A. Valli, Domain Decomposition methods for partial differential equations, 1999.

R. Repetto, An Analytical Model of the Dynamics of the Liquefied Vitreous Induced by Saccadic Eye Movements, Meccanica, vol.173, issue.1, pp.101-117, 2006.
DOI : 10.1007/s11012-005-0782-5

E. Charles, . Riva, E. Juan, . Grunwald, H. Stephen et al., Blood velocity and volumetric flow rate in human retinal vessels, Investigative ophthalmology & visual science, vol.26, issue.8, pp.1124-1132, 1985.

S. Rassam, E. Patel, and . Kohner, The effect of experimental hypertension on retinal vascular autoregulation in humans: a mechanism for the progression of diabetic retinopathy, Experimental Physiology, vol.80, issue.1, pp.53-68, 1995.
DOI : 10.1113/expphysiol.1995.sp003834

. Rrg-+-86-]-fane-robinson, E. Charles, . Riva, E. Juan, . Grunwald et al., Retinal blood flow autoregulation in response to an acute increase in blood pressure, Investigative ophthalmology & visual science, vol.27, issue.5, pp.722-726, 1986.

R. Repetto, A. Stocchino, and C. Cafferata, Experimental investigation of vitreous humour motion within a human eye model, Physics in Medicine and Biology, vol.50, issue.19, p.4729, 2005.
DOI : 10.1088/0031-9155/50/19/021

R. Repetto, A. Siggers, and . Stocchino, Mathematical model of flow in the vitreous humor induced by saccadic eye rotations: effect of geometry, Biomechanics and Modeling in Mechanobiology, vol.17, issue.6, pp.65-76, 2010.
DOI : 10.1007/s10237-009-0159-0

S. Salsa, Partial differential equations in action: from modelling to theory, 2015.

. J. San-+-04-]-j, M. D. Staal, M. Abramoff, M. A. Niemeijer, B. Viergever et al., Ridge based vessel segmentation in color images of the retina, IEEE Transactions on Medical Imaging, vol.23, issue.4, pp.501-509, 2004.

B. Smith, P. Bjorstad, and W. Gropp, Domain Decomposition, 2004.
DOI : 10.1007/978-3-540-70529-1_411

. Sbw-+-02-]-chanjira-sinthanayothin, . Boyce, . Williamson, . Cook, . Mensah et al., Automated detection of diabetic retinopathy on digital fundus images, Diabetic Medicine, vol.97, issue.2, pp.105-112, 2002.
DOI : 10.1046/j.1464-5491.2002.00613.x

H. Jennifer, C. Siggers, and . Ethier, Fluid mechanics of the eye, Annual Review of Fluid Mechanics, vol.44, pp.347-372, 2012.

M. David, . Silver, A. Richard, M. E. Farrell, . Langham et al., Estimation of pulsatile ocular blood flow from intraocular pressure, Acta Ophthalmologica, vol.67, issue.S191, pp.25-29, 1989.

J. Stålhand, A. Klarbring, and G. A. Holzapfel, Smooth muscle contraction: Mechanochemical formulation for homogeneous finite strains, Progress in biophysics and molecular biology, pp.465-481, 2008.
DOI : 10.1016/j.pbiomolbio.2007.07.025

[. Sharif-kashani, J. Hubschman, D. Sassoon, and . Kavehpour, Rheology of the vitreous gel: Effects of macromolecule organization on the viscoelastic properties, Journal of Biomechanics, vol.44, issue.3, pp.419-423, 2011.
DOI : 10.1016/j.jbiomech.2010.10.002

R. Schubert, J. Michael, and . Mulvany, The myogenic response: established facts and attractive hypotheses, Clinical Science, vol.96, issue.4, pp.313-326, 1999.
DOI : 10.1042/cs0960313

P. Sánchez, K. Moutsouris, and A. Pandolfi, Biomechanical and optical behavior of human corneas before and after photorefractive keratectomy, Journal of Cataract & Refractive Surgery, vol.40, issue.6, pp.905-917, 2014.
DOI : 10.1016/j.jcrs.2014.03.020

I. Simonini and A. Pandolfi, Customized Finite Element Modelling of the Human Cornea, PLOS ONE, vol.91, issue.3, p.130426, 2015.
DOI : 10.1371/journal.pone.0130426.s001

[. Stocchino, R. Repetto, and C. Cafferata, Eye rotation induced dynamics of a Newtonian fluid within the vitreous cavity: the effect of the chamber shape, Physics in Medicine and Biology, vol.52, issue.7, p.522021, 2007.
DOI : 10.1088/0031-9155/52/7/016

B. Sharifimajd and J. Stålhand, A continuum model for excitation?contraction of smooth muscle under finite deformations, Journal of Theoretical Biology, vol.355, pp.1-9, 2014.
DOI : 10.1016/j.jtbi.2014.03.016

A. Toselli and O. Widlund, Domain decomposition methods: algorithms and theory, 2005.
DOI : 10.1007/b137868

S. Uchio, J. Ohno, K. Kudoh, L. Aoki, and . Kisielewicz, Simulation model of an eyeball based on finite element analysis on a supercomputer, British Journal of Ophthalmology, vol.83, issue.10, pp.1106-1111, 1999.
DOI : 10.1136/bjo.83.10.1106

R. Van-loon, P. D. Anderson, J. De-hart, and F. Baaijens, A combined fictitious domain/adaptive meshing method for fluid?structure interaction in heart valves, International Journal for Numerical Methods in Fluids, vol.46, issue.5, pp.533-544, 2004.
DOI : 10.1002/fld.775

R. Van-loon, P. D. Anderson, and F. N. Van-de-vosse, A fluid?structure interaction method with solid-rigid contact for heart valve dynamics, Journal of Computational Physics, vol.217, issue.2, pp.806-823, 2006.
DOI : 10.1016/j.jcp.2006.01.032

E. Michael and V. Buskirk, The anatomy of the limbus, Eye, vol.3, issue.2, pp.101-108, 1989.

A. Villamarin, S. Roy, and R. Hasballa, Orestis Vardoulis, Philippe Reymond, and Nikolaos Stergiopulos. 3D simulation of the aqueous flow in the human eye, Medical engineering & physics, vol.12, issue.3410, pp.1462-1470, 2012.

[. Woo, W. Kobayashi, C. Schlegel, and . Lawrence, Nonlinear material properties of intact cornea and sclera, Experimental Eye Research, vol.14, issue.1, pp.29-39, 1972.
DOI : 10.1016/0014-4835(72)90139-X

[. Yang, J. W. , C. Jr, M. Robert, C. Bryan et al., The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell model, Medical Engineering & Physics, vol.25, issue.8, pp.25691-709, 2003.
DOI : 10.1016/S1350-4533(03)00100-0

[. Yang, J. W. , C. Jr, M. Robert, C. S. Bryan et al., The myogenic response in isolated rat cerebrovascular arteries: vessel model, Medical Engineering & Physics, vol.25, issue.8, pp.25711-717, 2003.
DOI : 10.1016/S1350-4533(03)00101-2

[. Zimmerman, In vivo measurements of the viscoelasticity of the human vitreous humor, Biophysical Journal, vol.29, issue.3, p.539, 1980.
DOI : 10.1016/S0006-3495(80)85152-6