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42. Jayasinghe S, Darmofal DL, Dow E, Galbraith MC, Allmaras SR. A Discretization-Independent Distributed Well Model. SPE Journal. 2019; 24(06):2946-2967. https://doi.org/10.2118/198898-PA

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40. Peaceman DW. Interpretation of Well-Block Pressures in Numerical Reservoir Simulation with Non-square Grid Blocks and Anisotropic Permeability. Society of Petroleum Engineers Journal. 1983; 23 (03):531-543. https://doi.org/10.2118/10528-PA

41. Aavatsmark I, Klausen RA. Well Index in Reservoir Simulation for Slanted and Slightly Curved Wells in 3D Grids. SPE-75275-PA. 2003; 8(01):41-48.

42. Jayasinghe S, Darmofal DL, Dow E, Galbraith MC, Allmaras SR. A Discretization-Independent Distributed Well Model. SPE Journal. 2019; 24(06):2946-2967. https://doi.org/10.2118/198898-PA

43. Ding Y, Jeannin L. A Multi-Point Flux Approximation Scheme for the Well Modelling in Reservoir Simulations. 2000.

44. Ding DY. Near-Well Upscaling for Reservoir Simulations. Oil & Gas Science and Technology. 2004; 59 (2):157-165. https://doi.org/10.2516/ogst:2004012

45. Gjerde IG, Kumar K, Nordbotten JM. A singularity removal method for coupled 1D-3D flow models. Computational Geosciences. 2020; 24(2):443-457. https://doi.org/10.1007/s10596-019-09899-4

46. Christopherson D G and Southwell R V. Relaxation methods applied to engineering problems. III. Problems involving two independent variables. Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences. 1938; 168(934):317-350.

47. Woods LC. The relaxation treatment of singular points in Poisson's equation. The Quarterly Journal of Mechanics and Applied Mathematics. 1953; 6(2):163-185. https://doi.org/10.1093/qjmam/6.2.163

48. Drechsler F, Wolters CH, Dierkes T, Si H, Grasedyck L. A full subtraction approach for finite element method based source analysis using constrained Delaunay tetrahedralisation. NeuroImage. 2009; 46 (4):1055-1065. https://doi.org/10.1016/j.neuroimage.2009.02.024 PMID: 19264145

49. Holter KE, Kehlet B, Devor A, Sejnowski TJ, Dale AM, Omholt SW, et al. Interstitial solute transport in 3D reconstructed neuropil occurs by diffusion rather than bulk flow. Proceedings of the National Academy of Sciences. 2017; 114(37):9894-9899. https://doi.org/10.1073/pnas.1706942114 PMID: 28847942

50. Nicholson C. Diffusion and related transport mechanisms in brain tissue. Reports on Progress in Physics. 2001; 64(7):815-884. https://doi.org/10.1088/0034-4885/64/7/202

51. Pozrikidis C, Farrow DA. A Model of Fluid Flow in Solid Tumors. Annals of Biomedical Engineering. 2003; 31(2):181-194. https://doi.org/10.1114/1.1540103 PMID: 12627826

52. Koch T, Schneider M, Helmig R, Jenny P. Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Journal of Computational Physics. 2020; 410:109370. https://doi.org/10.1016/j.jcp.2020.109370

53. Taylor R, Krishna R. Multicomponent mass transfer. Wiley series in chemical engineering. New York: Wiley; 1993.

54. Moinfar A, Varavei A, Sepehrnoori K, Johns RT. Development of a Novel and Computationally-Efficient Discrete-Fracture Model to Study IOR Processes in Naturally Fractured Reservoirs. In: All Days. Tulsa, Oklahoma, USA: SPE; 2012. p. SPE-154246-MS.

55. Yan X, Huang Z, Yao J, Li Y, Fan D. An efficient embedded discrete fracture model based on mimetic finite difference method. Journal of Petroleum Science and Engineering. 2016; 145:11-21. https://doi.org/10.1016/j.petrol.2016.03.013

56. Jenny P, Lee SH, Tchelepi HA. Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media. Multiscale Modeling & Simulation. 2005; 3(1):50-64. https://doi.org/10.1137/030600795

57. Wolfsteiner C, Lee SH, Tchelepi HA. Well Modeling in the Multiscale Finite Volume Method for Subsurface Flow Simulation. Multiscale Modeling & Simulation. 2006; 5(3):900-917. https://doi.org/10.1137/050640771

58. Gjerde IG, Kumar K, Nordbotten JM, Wohlmuth B. Splitting method for elliptic equations with line sources. ESAIM: Mathematical Modelling and Numerical Analysis. 2019; 53(5):1715-1739. https://doi.org/10.1051/m2an/2019027

59. Weisstein EC. CRC Concise encyclopedia of mathematics. Boca Raton: CRC Press; 1998.

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61. Pozrikidis C, Ferziger JH. Introduction to Theoretical and Computational Fluid Dynamics. Physics Today. 1997; 50(9):72-74. https://doi.org/10.1063/1.881920
52. Koch T, Schneider M, Helmig R, Jenny P. Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources. Journal of Computational Physics. 2020; 410:109370. https://doi.org/10.1016/j.jcp.2020.109370

53. Taylor R, Krishna R. Multicomponent mass transfer. Wiley series in chemical engineering. New York: Wiley; 1993.

54. Moinfar A, Varavei A, Sepehrnoori K, Johns RT. Development of a Novel and Computationally-Efficient Discrete-Fracture Model to Study IOR Processes in Naturally Fractured Reservoirs. In: All Days. Tulsa, Oklahoma, USA: SPE; 2012. p. SPE-154246-MS.

55. Yan X, Huang Z, Yao J, Li Y, Fan D. An efficient embedded discrete fracture model based on mimetic finite difference method. Journal of Petroleum Science and Engineering. 2016; 145:11-21. https://doi.org/10.1016/j.petrol.2016.03.013

56. Jenny P, Lee SH, Tchelepi HA. Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media. Multiscale Modeling & Simulation. 2005; 3(1):50-64. https://doi.org/10.1137/030600795

57. Wolfsteiner C, Lee SH, Tchelepi HA. Well Modeling in the Multiscale Finite Volume Method for Subsurface Flow Simulation. Multiscale Modeling & Simulation. 2006; 5(3):900-917. https://doi.org/10.1137/050640771

58. Gjerde IG, Kumar K, Nordbotten JM, Wohlmuth B. Splitting method for elliptic equations with line sources. ESAIM: Mathematical Modelling and Numerical Analysis. 2019; 53(5):1715-1739. https://doi.org/10.1051/m2an/2019027

59. Weisstein EC. CRC Concise encyclopedia of mathematics. Boca Raton: CRC Press; 1998.

60. Smith AF, Doyeux V, Berg M, Peyrouette M, Haft-Javaherian M, Larue AE, et al. Brain Capillary Networks Across Species: A few Simple Organizational Requirements Are Sufficient to Reproduce Both Structure and Function. Frontiers in Physiology. 2019; 10:233. https://doi.org/10.3389/fphys.2019.00233 PMID: 30971935

61. Pozrikidis C, Ferziger JH. Introduction to Theoretical and Computational Fluid Dynamics. Physics Today. 1997; 50(9):72-74. https://doi.org/10.1063/1.881920

62. Pozrikidis C, Davis JM. Blood Flow Through Capillary Networks. In: Transport in Biological Media. Elsevier; 2013. p. 213-252.

63. Roach GF. Green's Functions. 2nd ed. Cambridge: Cambridge University Press; 1982.

64. Peyrounette M, Davit Y, Quintard M, Lorthois S. Multiscale modelling of blood flow in cerebral microcirculation: Details at capillary scale control accuracy at the level of the cortex. PLOS ONE. 2018; 13(1): e0189474. https://doi.org/10.1371/journal.pone.0189474 PMID: 29324784

65. Hsu R, Secomb TW. A Green's function method for analysis of oxygen delivery to tissue by microvascular networks. Mathematical Biosciences. 1989; 96(1):61-78. https://doi.org/10.1016/0025-5564(89)90083-7 PMID: 2520192

66. Possenti L, Cicchetti A, Rosati R, Cerroni D, Costantino ML, Rancati T, et al. A Mesoscale Computational Model for Microvascular Oxygen Transfer. Annals of Biomedical Engineering. 2021; 49 (12):3356-3373. https://doi.org/10.1007/s10439-021-02807-x PMID: 34184146

67. Atkins PW, De Paula J. Physical chemistry for the life sciences. 2nd ed. New York/Oxford: W.H. Freeman and Co./Oxford University Press; 2011.

68. Cooper C. Competitive, Reversible, Physiological? Inhibition of Mitochondrial Cytochrome Oxidase by Nitric Oxide. IUBMB Life. 2004; 55(10):591-597.

69. Lecoq J, Parpaleix A, Roussakis E, Ducros M, Houssen YG, Vinogradov SA, et al. Simultaneous two-photon imaging of oxygen and blood flow in deep cerebral vessels. Nature Medicine. 2011; 17(7):893-898. https://doi.org/10.1038/nm.2394 PMID: 21642977

70. Lorthois S, Duru P, Billanou I, Quintard M, Celsis P. Kinetic modeling in the context of cerebral blood flow quantification by H215O positron emission tomography: The meaning of the permeability coefficient in Renkin-Crones model revisited at capillary scale. Journal of Theoretical Biology. 2014; 353:157-169. https://doi.org/10.1016/j.jtbi.2014.03.004 PMID: 24637002

71. Secomb TW, Bullock KV, Boas DA, Sakadžić S. The mass transfer coefficient for oxygen transport from blood to tissue in cerebral cortex. Journal of Cerebral Blood Flow and Metabolism. 2019; 40(8):1634-1646. https://doi.org/10.1177/0271678X19870068 PMID: 31423930

72. Koch T, Helmig R, Schneider M. A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model. Journal of Computational Physics. 2020; 410:109369. https://doi.org/10.1016/j.jcp.2020.109369

73. Lorthois S, Cassot F. Fractal analysis of vascular networks: Insights from morphogenesis. Journal of Theoretical Biology. 2010; 262(4):614-633. https://doi.org/10.1016/j.jtbi.2009.10.037 PMID: 19913557
62. Pozrikidis C, Davis JM. Blood Flow Through Capillary Networks. In: Transport in Biological Media. Elsevier; 2013. p. 213–252.

63. Roach GF. Green's Functions. 2nd ed. Cambridge: Cambridge University Press; 1982.

64. Peyrounette M, Davit Y, Quintard M, Lorthois S. Multiscale modelling of blood flow in cerebral microcirculation: Details at capillary scale control accuracy at the level of the cortex. PLOS ONE. 2018; 13(1): e0189474. https://doi.org/10.1371/journal.pone.0189474 PMID: 29324784

65. Hsu R, Secomb TW. A Green's function method for analysis of oxygen delivery to tissue by microvascular networks. Mathematical Biosciences. 1989; 96(1):61–78. https://doi.org/10.1016/0025-5564(89)90083-7 PMID: 2520192

66. Possenti L, Cicchetti A, Rosati R, Cerroni D, Costantino ML, Rancati T, et al. A Mesoscale Computational Model for Microvascular Oxygen Transfer. Annals of Biomedical Engineering. 2021; 49 (12):3356–3373. https://doi.org/10.1007/s10439-021-02807-x PMID: 34184146

67. Atkins PW, De Paula J. Physical chemistry for the life sciences. 2nd ed. New York/Oxford: W.H. Freeman and Co./Oxford University Press; 2011.

68. Cooper C. Competitive, Reversible, Physiological? Inhibition of Mitochondrial Cytochrome Oxidase by Nitric Oxide. IUBMB Life. 2004; 55(10):591–597.

69. Lecoq J, Parpaleix A, Roussakis E, Ducros M, Houssen YG, Vinogradov SA, et al. Simultaneous two-photon imaging of oxygen and blood flow in deep cerebral vessels. Nature Medicine. 2011; 17(7):893–898. https://doi.org/10.1038/nm.2394 PMID: 21642977

70. Lorthois S, Duru P, Billanou I, Quintard M, Celsis P. Kinetic modeling in the context of cerebral blood flow quantification by H215O positron emission tomography: The meaning of the permeability coefficient in Renkin–Crones model revisited at capillary scale. Journal of Theoretical Biology. 2014; 353:157–169. https://doi.org/10.1016/j.jtbi.2014.03.004 PMID: 24637002

71. Secomb TW, Bullock KV, Boas DA, Sakadžić S. The mass transfer coefficient for oxygen transport from blood to tissue in cerebral cortex. Journal of Cerebral Blood Flow and Metabolism. 2019; 40(8):1634–1646. https://doi.org/10.1177/0271678X19870068 PMID: 31423930

72. Koch T, Helmig R, Schneider M. A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model. Journal of Computational Physics. 2020; 410:109369. https://doi.org/10.1016/j.jcp.2020.109369

73. Lorthois S, Cassot F. Fractal analysis of vascular networks: Insights from morphogenesis. Journal of Theoretical Biology. 2010; 262(4):614–633. https://doi.org/10.1016/j.jtbi.2009.10.037 PMID: 19913557

74. Secomb TW. Krogh-Cylinder and Infinite-Domain Models for Washout of an Inert Diffusible Solute from Tissue. Microcirculation. 2015; 22(1):91–98. https://doi.org/10.1111/micc.12180 PMID: 25377492

75. Santuy A, Turégano-L'opez M, Rodríguez JR, Alonso-Nanclares L, DeFelipe J, Merchán-Pérez A. A Quantitative Study on the Distribution of Mitochondria in the Neuropil of the Juvenile Rat Somatosensory Cortex. Cerebral Cortex. 2018; 28(10):3673–3684. https://doi.org/10.1093/cercor/bhy159 PMID: 30060007

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77. D'Angelo C, Quarteroni A. On the coupling of 1D and 3D diffusion-reaction equations. Applications to tissue perfusion problems. Mathematical Models and Methods in Applied Sciences. 2008; 18 (08):1481–1504. https://doi.org/10.1142/S0218202508003108

78. Pepper D, Kassab A, Divo E. Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow. ASME Press; 2014.

79. Aliabadi MH, Wen PH. Boundary element methods in engineering and sciences. No. 4 in Computational and experimental methods in structures. London: Imperial College Press; 2011.
74. Secomb TW. Krogh-Cylinder and Infinite-Domain Models for Washout of an Inert Diffusible Solute from Tissue. Microcirculation. 2015; 22(1):91–98. https://doi.org/10.1111/micc.12180 PMID: 25377492

75. Santuy A, Turégano-L'opez M, Rodríguez JR, Alonso-Nanclares L, DeFelipe J, Merchán-Pérez A. A Quantitative Study on the Distribution of Mitochondria in the Neuropil of the Juvenile Rat Somatosensory Cortex. Cerebral Cortex. 2018; 28(10):3673–3684. https://doi.org/10.1093/cercor/bhy159 PMID: 30060007

76. Lu X, Moeini M, Li B, Montgolfier Od, Lu Y, Bélanger S, et al. Voluntary exercise increases brain tissue oxygenation and spatially homogenizes oxygen delivery in a mouse model of Alzheimer's disease. Neurobiology of Aging. 2020; 88:11–23. https://doi.org/10.1016/j.neurobiolaging.2019.11.015 PMID: 31866158

77. D'Angelo C, Quarteroni A. On the coupling of 1D and 3D diffusion-reaction equations. Applications to tissue perfusion problems. Mathematical Models and Methods in Applied Sciences. 2008; 18 (08):1481–1504. https://doi.org/10.1142/S0218202508003108

78. Pepper D, Kassab A, Divo E. Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow. ASME Press; 2014.

79. Aliabadi MH, Wen PH. Boundary element methods in engineering and sciences. No. 4 in Computational and experimental methods in structures. London: Imperial College Press; 2011.