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Waghorne J, Bonomo FP, Rabbani A, Bell D, Barrera O. On the characteristics of natural hydraulic dampers: An image-based approach to study the fluid flow behaviour inside the human meniscal tissue. Acta Biomater 2024; 175:157-169. [PMID: 38159896 DOI: 10.1016/j.actbio.2023.12.042] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/13/2023] [Revised: 12/18/2023] [Accepted: 12/22/2023] [Indexed: 01/03/2024]
Abstract
The meniscal tissue is a layered material with varying properties influenced by collagen content and arrangement. Understanding the relationship between structure and properties is crucial for disease management, treatment development, and biomaterial design. The internal layer of the meniscus is softer and more deformable than the outer layers, thanks to interconnected collagen channels that guide fluid flow. To investigate these relationships, we propose an integrated approach that combines Computational Fluid Dynamics (CFD) with Image Analysis (CFD-IA). We analyze fluid flow in the internal architecture of the human meniscus across a range of inlet velocities (0.1 mm/s to 1.6 m/s) using high-resolution 3D micro-computed tomography scans. Statistical correlations are observed between architectural parameters (tortuosity, connectivity, porosity, pore size) and fluid flow parameters (Re number distribution, permeability). Some channels exhibit Re values of 1400 at an inlet velocity of 1.6 m/s, and a transition from Darcy's regime to a non-Darcian regime occurs around an inlet velocity of 0.02 m/s. Location-dependent permeability ranges from 20-32 Darcy. Regression modelling reveals a strong correlation between fluid velocity and tortuosity at high inlet velocities, as well as with channel diameter at low inlet velocities. At higher inlet velocities, flow paths deviate more from the preferential direction, resulting in a decrease in the concentration parameter by an average of 0.4. This research provides valuable insights into the fluid flow behaviour within the meniscus and its structural influences. 3D models and image stack are available to download at https://doi.org/10.5281/zenodo.10401592. STATEMENT OF SIGNIFICANCE: The meniscus is a highly porous soft tissue with remarkable properties of load transfer and energy absorption. We give insight on the mechanism of energy absorption from high resolution uCT scans, never presented before, and a new method which combine CFD and image. The structure is similar to a sandwich structure with a stiff outside layer and a soft internal layer made of collagen channels oriented in a preferential direction guiding the fluid flow, enabling it to accommodate deformation and dissipate energy, making it a potentially optimized damping system. We investigate architectural/ fluid flow parameters- fluid regimes relationship, which is of interest of the readers working on designing suitable biomimetic systems that can be adopted for replacement.
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Affiliation(s)
- Jack Waghorne
- School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, United Kingdom
| | - Francesco Paolo Bonomo
- Advanced Technology Network Center (ATeN Center), Universitá degli Studi di Palermo, Palermo 90128, Italy
| | | | - Daniel Bell
- School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, United Kingdom
| | - Olga Barrera
- School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, United Kingdom; Department of Engineering Science, University of Oxford, United Kingdom.
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Tomsan H, Gorbachova T, Fritz RC, Abrams GD, Sherman SL, Shea KG, Boutin RD. Knee MRI: Meniscus Roots, Ramps, Repairs, and Repercussions. Radiographics 2023; 43:e220208. [PMID: 37384542 DOI: 10.1148/rg.220208] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/01/2023]
Abstract
Menisci play an essential role in maintaining normal pain-free function of the knee. While there are decades of MRI literature on the tears involving the meniscus body and horns, there is now a surge in knowledge regarding injuries at the meniscus roots and periphery. The authors briefly highlight new insights into meniscus anatomy and then summarize recent developments in the understanding of meniscus injuries that matter, emphasizing meniscus injuries at the root and peripheral (eg, ramp) regions that may be missed easily at MRI and arthroscopy. Root and ramp tears are important to diagnose because they may be amenable to repair. However, if these tears are left untreated, ongoing pain and accelerated cartilage degeneration may ensue. The posterior roots of the medial and lateral menisci are most commonly affected by injury, and each of these injuries is associated with distinctive clinical profiles, MRI findings, and tear patterns. Specific diagnostic pitfalls can make the roots challenging to evaluate, including MRI artifacts and anatomic variations. As with root tears, MRI interpretation and orthopedic treatment have important differences for injuries at the medial versus lateral meniscus (LM) periphery (located at or near the meniscocapsular junction). Medially, ramp lesions typically occur in the setting of an anterior cruciate ligament rupture and are generally classified into five patterns. Laterally, the meniscocapsular junction may be injured in association with tibial plateau fractures, but disruption of the popliteomeniscal fascicles may also result in a hypermobile LM. Updated knowledge of the meniscus root and ramp tears is crucial in optimizing diagnostic imaging before repair and understanding the clinical repercussions. ©RSNA, 2023 Online supplemental material is available for this article. Quiz questions for this article are available in the Online Learning Center.
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Affiliation(s)
- Hanna Tomsan
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Tetyana Gorbachova
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Russell C Fritz
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Geoffrey D Abrams
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Seth L Sherman
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Kevin G Shea
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
| | - Robert D Boutin
- From the Departments of Radiology (H.T., R.D.B.) and Orthopaedic Surgery (G.D.A., S.L.S.), Stanford University School of Medicine, 300 Pasteur Dr, Stanford, CA 94305-5119; Department of Radiology, Einstein Healthcare Network and Jefferson Health, Sidney Kimmel Medical College, Thomas Jefferson University, Philadelphia, Pa (T.G.); Department of Musculoskeletal Radiology, National Orthopedic Imaging Associates, Greenbrae, Calif (R.C.F.); and Department of Orthopaedic Surgery, Lucile Packard Children's Hospital at Stanford, Palo Alto, Calif (K.G.S.)
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Gunda S, Natarajan S, Barrera O. On the fractional transversely isotropic functionally graded nature of soft biological tissues: Application to the meniscal tissue. J Mech Behav Biomed Mater 2023; 143:105855. [PMID: 37182366 DOI: 10.1016/j.jmbbm.2023.105855] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2022] [Revised: 03/30/2023] [Accepted: 04/12/2023] [Indexed: 05/16/2023]
Abstract
This paper focuses on the origin of the poroelastic anisotropic behaviour of the meniscal tissue and its spatially varying properties. We present confined compression creep test results on samples extracted from three parts of the tissue (Central body, Anterior horn and Posterior horn) in three orientations (Circumferential, Radial and Vertical). We show that a poroelastic model in which the fluid flow evolution is ruled by non-integer order operators (fractional Darcy's law) provides accurate agreement with the experimental creep data. The model is validated against two additional sets of experimental data: stress relaxation and fluid loss during the consolidation process measured as weight reduction. Results show that the meniscus can be considered as a transversely isotropic poroelastic material. This behaviour is due to the fluid flow rate being about three times higher in the circumferential direction than in the radial and vertical directions in the body region of the meniscus. The 3D fractional poroelastic model is implemented in the finite element software to estimate the weight loss during the confined compression tests.
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Affiliation(s)
- Sachin Gunda
- Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India.
| | - Sundararajan Natarajan
- Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India.
| | - Olga Barrera
- School of Engineering, Computing and Mathematics, Oxford Brookes University, Headington, Oxford OX3 0BP, United Kingdom; Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, Oxford, United Kingdom.
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Singh G, Singh A, Kumar N, Avti P. Effects of injection rates and tissue diffusivity in magnetic nano-particle hyperthermia. Med Eng Phys 2023; 113:103965. [PMID: 36966004 DOI: 10.1016/j.medengphy.2023.103965] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2022] [Revised: 02/23/2023] [Accepted: 02/23/2023] [Indexed: 02/27/2023]
Abstract
Effects of injection rate and tumor physiology on the diffusion of magnetic nano-particles (MNPs) and temperature profile during magnetic hyperthermia are investigated in this work. The study considers three injection rates (2.5 μL/min, 10 μL/min, and 40 μL/min), and two MNP diffusion coefficients (10-9 m2/s and 10-11 m2/s). The simulation of this physics has been done on 3D tumor surrounded by healthy tissue. Transient MNP distribution in tissue is evaluated using Darcy's flow model and the MNP transport (convection-diffusion) equation. The temperature profile in the tumor model is computed by solving Penne's bioheat transfer equation (PBHTE). Results show tumors with high collagen content (with low MNP diffusivity) are more restrictive towards MNP transport than tumors having low collagen content. Thus, tumors with low MNP diffusivity need a higher injection rate to increase the homogeneity of MNP concentration as well as temperature profile during thermo-therapy. Results also show that, MNP fluid injected with a higher injection rate produces a more uniform MNP concentration up to greater depth than the lower injection rate.
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Affiliation(s)
- Gurmeet Singh
- Department of Mechanical Engineering, Thapar Institute of Engineering & Technology, Patiala 147004, India; Virginia Tech-TIET- Center of Excellence in Emerging Materials, Thapar Institute of Engineering & Technology, Patiala 147001, India
| | - Amritpal Singh
- Department of Mechanical Engineering, Thapar Institute of Engineering & Technology, Patiala 147004, India
| | - Neeraj Kumar
- Department of Mechanical Engineering, Thapar Institute of Engineering & Technology, Patiala 147004, India; Virginia Tech-TIET- Center of Excellence in Emerging Materials, Thapar Institute of Engineering & Technology, Patiala 147001, India.
| | - Pramod Avti
- Department of Biophysics, Post Graduate Institute of Medical Education and Research (PGIMER), #520, Fifth Floor, Research 'B' Block, Sector 12, Chandigarh 160012, India
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She Y, Tang S, Zhu Z, Sun Y, Deng W, Wang S, Jiang N. Comparison of temporomandibular joint disc, meniscus, and intervertebral disc in fundamental characteristics and tissue engineering. J Biomed Mater Res B Appl Biomater 2023; 111:717-729. [PMID: 36221912 DOI: 10.1002/jbm.b.35178] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2022] [Revised: 09/24/2022] [Accepted: 09/27/2022] [Indexed: 01/21/2023]
Abstract
The temporomandibular joint (TMJ) disc, meniscus and intervertebral disc (IVD) are three fibrocartilage discs, which play critical roles in our daily life. Their degeneration contributes to diseases such as TMJ disorders, osteoarthritis and degenerative disc disease, affecting patients' quality of life and causing substantial morbidity and mortality. Interestingly, similar in some aspects of fundamental characteristics, they exhibit differences in other aspects such as biomechanical properties. Highlighting these similarities and differences can not only benefit a comprehensive understanding of them and their pathology but also assist in future research of tissue engineering. Likewise, comparing their tissue engineering in cell sources, scaffold and stimuli can guide imitation and improvement of their engineered discs. However, the anatomical structure, function, and biomechanical characteristics of the IVD, TMJ, and Meniscus have not been compared in any meaningful depth needed to advance current tissue engineering research on these joints, resulting in incomplete understanding of them and their pathology and ultimately limiting future research of tissue engineering. This review, for the first time, comprehensively compares three fibrocartilage discs in those aspects to cast light on their similarities and differences.
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Affiliation(s)
- Yilin She
- State Key Laboratory of Oral Diseases and National Clinical Research Center for Oral Disease and West China Hospital of Stomatology, Sichuan University, Chengdu, China
| | - Shiyi Tang
- West China Medical School, Sichuan University, Chengdu, China
| | - Zilin Zhu
- College of Life Sciences, Sichuan University, Chengdu, China
| | - Yixin Sun
- State Key Laboratory of Oral Diseases and National Clinical Research Center for Oral Disease and West China Hospital of Stomatology, Sichuan University, Chengdu, China
| | - Wanyu Deng
- State Key Laboratory of Oral Diseases and National Clinical Research Center for Oral Disease and West China Hospital of Stomatology, Sichuan University, Chengdu, China
| | - Sicheng Wang
- State Key Laboratory of Oral Diseases and National Clinical Research Center for Oral Disease and West China Hospital of Stomatology, Sichuan University, Chengdu, China
| | - Nan Jiang
- State Key Laboratory of Oral Diseases and National Clinical Research Center for Oral Disease and West China Hospital of Stomatology, Sichuan University, Chengdu, China
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Rasheed B, Ayyalasomayajula V, Schaarschmidt U, Vagstad T, Schaathun HG. Region- and layer-specific investigations of the human menisci using SHG imaging and biaxial testing. Front Bioeng Biotechnol 2023; 11:1167427. [PMID: 37143602 PMCID: PMC10151675 DOI: 10.3389/fbioe.2023.1167427] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2023] [Accepted: 04/04/2023] [Indexed: 05/06/2023] Open
Abstract
In this paper, we examine the region- and layer-specific collagen fiber morphology via second harmonic generation (SHG) in combination with planar biaxial tension testing to suggest a structure-based constitutive model for the human meniscal tissue. Five lateral and four medial menisci were utilized, with samples excised across the thickness from the anterior, mid-body, and posterior regions of each meniscus. An optical clearing protocol enhanced the scan depth. SHG imaging revealed that the top samples consisted of randomly oriented fibers with a mean fiber orientation of 43.3 o . The bottom samples were dominated by circumferentially organized fibers, with a mean orientation of 9.5 o . Biaxial testing revealed a clear anisotropic response, with the circumferential direction being stiffer than the radial direction. The bottom samples from the anterior region of the medial menisci exhibited higher circumferential elastic modulus with a mean value of 21 MPa. The data from the two testing protocols were combined to characterize the tissue with an anisotropic hyperelastic material model based on the generalized structure tensor approach. The model showed good agreement in representing the material anisotropy with a mean r 2 = 0.92.
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Affiliation(s)
- Bismi Rasheed
- Cyber-Physical Systems Laboratory, Department of ICT and Natural Sciences, Norwegian University of Science and Technology (NTNU), Ålesund, Norway
- Ålesund Biomechanics Lab, Ålesund General Hospital, Møre and Romsdal Hospital Trust, Ålesund, Norway
- *Correspondence: Bismi Rasheed,
| | - Venkat Ayyalasomayajula
- Division of Biomechanics, Department of Structural Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway
| | - Ute Schaarschmidt
- Cyber-Physical Systems Laboratory, Department of ICT and Natural Sciences, Norwegian University of Science and Technology (NTNU), Ålesund, Norway
| | - Terje Vagstad
- Cyber-Physical Systems Laboratory, Department of ICT and Natural Sciences, Norwegian University of Science and Technology (NTNU), Ålesund, Norway
- Ålesund Biomechanics Lab, Ålesund General Hospital, Møre and Romsdal Hospital Trust, Ålesund, Norway
- Department of Orthopaedic Surgery, Medi3, Ålesund, Norway
| | - Hans Georg Schaathun
- Cyber-Physical Systems Laboratory, Department of ICT and Natural Sciences, Norwegian University of Science and Technology (NTNU), Ålesund, Norway
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The Human Meniscus Behaves as a Functionally Graded Fractional Porous Medium under Confined Compression Conditions. APPLIED SCIENCES-BASEL 2021. [DOI: 10.3390/app11209405] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
In this study, we observe that the poromechanical parameters in human meniscus vary spatially throughout the tissue. The response is anisotropic and the porosity is functionally graded. To draw these conclusions, we measured the anisotropic permeability and the “aggregate modulus” of the tissue, i.e., the stiffness of the material at equilibrium, after the interstitial fluid has ceased flowing. We estimated those parameters within the central portion of the meniscus in three directions (i.e., vertical, radial and circumferential) by fitting an enhanced model on stress relation confined compression tests. We noticed that a classical biphasic model was not sufficient to reproduce the observed experimental behaviour. We propose a poroelastic model based on the assumption that the fluid flow inside the human meniscus is described by a fractional porous medium equation analogous to Darcy’s law, which involves fractional operators. The fluid flux is then time-dependent for a constant applied pressure gradient (in contrast with the classical Darcy’s law, which describes a time independent fluid flux relation). We show that a fractional poroelastic model is well-suited to describe the flow within the meniscus and to identify the associated parameters (i.e., the order of the time derivative and the permeability). The results indicate that mean values of λβ,β in the central body are λβ=5.5443×10−10m4Ns1−β, β=0.0434, while, in the posterior and anterior regions, are λβ=2.851×10−10m4Ns1−β, β=0.0326 and λβ=1.2636×10−10m4Ns1−β, β=0.0232, respectively. Furthermore, numerical simulations show that the fluid flux diffusion is facilitated in the central part of the meniscus and hindered in the posterior and anterior regions.
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On the microstructural origin of brain white matter hydraulic permeability. Proc Natl Acad Sci U S A 2021; 118:2105328118. [PMID: 34480003 DOI: 10.1073/pnas.2105328118] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2021] [Accepted: 07/26/2021] [Indexed: 11/18/2022] Open
Abstract
Brain microstructure plays a key role in driving the transport of drug molecules directly administered to the brain tissue, as in Convection-Enhanced Delivery procedures. The proposed research analyzes the hydraulic permeability of two white matter (WM) areas (corpus callosum and fornix) whose three-dimensional microstructure was reconstructed starting from the acquisition of electron microscopy images. We cut the two volumes with 20 equally spaced planes distributed along two perpendicular directions, and, on each plane, we computed the corresponding permeability vector. Then, we considered that the WM structure is mainly composed of elongated and parallel axons, and, using a principal component analysis, we defined two principal directions, parallel and perpendicular, with respect to the axons' main direction. The latter were used to define a reference frame onto which the permeability vectors were projected to finally obtain the permeability along the parallel and perpendicular directions. The results show a statistically significant difference between parallel and perpendicular permeability, with a ratio of about two in both the WM structures analyzed, thus demonstrating their anisotropic behavior. Moreover, we find a significant difference between permeability in corpus callosum and fornix, which suggests that the WM heterogeneity should also be considered when modeling drug transport in the brain. Our findings, which demonstrate and quantify the anisotropic and heterogeneous character of the WM, represent a fundamental contribution not only for drug-delivery modeling, but also for shedding light on the interstitial transport mechanisms in the extracellular space.
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