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Nozaleda GL, Alaminos-Quesada J, Coenen W, Haughton V, Sánchez AL. An analytic model for the flow induced in syringomyelia cavities. JOURNAL OF FLUID MECHANICS 2024; 978:A22. [PMID: 38746046 PMCID: PMC11089288 DOI: 10.1017/jfm.2023.1018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2024]
Abstract
A simple two-dimensional fluid-structure-interaction problem, involving viscous oscillatory flow in a channel separated by an elastic membrane from a fluid-filled slender cavity, is analyzed to shed light on the flow dynamics pertaining to syringomyelia, a neurological disorder characterized by the appearance of a large tubular cavity (syrinx) within the spinal cord. The focus is on configurations in which the velocity induced in the cavity, representing the syrinx, is comparable to that found in the channel, representing the subarachnoid space surrounding the spinal cord, both flows being coupled through a linear elastic equation describing the membrane deformation. An asymptotic analysis for small stroke lengths leads to closed-form expressions for the leading-order oscillatory flow, and also for the stationary flow associated with the first-order corrections, the latter involving a steady distribution of transmembrane pressure. The magnitude of the induced flow is found to depend strongly on the frequency, with the result that for channel flow rates of non-sinusoidal waveform, as those found in the spinal canal, higher harmonics can dominate the sloshing motion in the cavity, in agreement with previous in vivo observations. Under some conditions, the cycle-averaged transmembrane pressure, also showing a marked dependence on the frequency, changes sign on increasing the cavity transverse dimension (i.e. orthogonal to the cord axis), underscoring the importance of cavity size in connection with the underlying hydrodynamics. The analytic results presented here can be instrumental in guiding future numerical investigations, needed to clarify the pathogenesis of syringomyelia cavities.
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Affiliation(s)
- G. L. Nozaleda
- Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093-0411, USA
| | - J. Alaminos-Quesada
- Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093-0411, USA
| | - W. Coenen
- Grupo de Mecánica de Fluidos, Universidad Carlos III de Madrid, Leganés, 28911 Spain
| | - V. Haughton
- School of Medicine and Public Health, University of Wisconsin-Madison, Madison, WI, 53706 USA
| | - A. L. Sánchez
- Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093-0411, USA
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Johnson PJ, Todd-Donato AB, Miller AD, Wang Y, Holm C, Panisello-Manterola CI, Colón Acevedo CS, Wood JH. Association of hydromyelia and acute compressive myelopathy caused by intervertebral disc extrusion in dogs. J Vet Intern Med 2022; 36:1049-1056. [PMID: 35481715 PMCID: PMC9151477 DOI: 10.1111/jvim.16433] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2021] [Revised: 04/04/2022] [Accepted: 04/12/2022] [Indexed: 11/29/2022] Open
Abstract
BACKGROUND Hydromyelia is a common magnetic resonance imaging (MRI) finding associated with compressive myelopathy caused by intervertebral disc extrusion (IVDE). OBJECTIVES To describe the MRI features of hydromyelia and explore its relationship to clinical history, neurological severity, and the duration of cord compression. ANIMALS Ninety-one client-owned dogs with a focal compressive myelopathy secondary to thoracolumbar IVDE. METHODS A retrospective observational study was conducted in which MRIs were blindly evaluated to grade and localize hydromyelia and measure the degree of spinal cord compression. Duration and severity of clinical signs were recorded. Differences between hydromyelia grades in these variables were statistically assessed using a Wilcoxon and Kruskal Wallis test. Receiver operator curve analysis was used to determine the sensitivity and specificity for duration of clinical signs to predict the presence of hydromyelia. RESULTS Hydromyelia was identified at sites of IVDE in 84 of 91 dogs. An absence of hydromyelia was associated a with statistically longer duration of clinical signs (mean 73.1, IQR 76 days) when compared to cases with mild (mean 17.7, IQR 7.25 days, P = .006) or severe (mean 17.9, IQR 10.25 days, P = .006) hydromyelia. Duration of clinical signs <14 days was 78.6% sensitive and 85.7% specific for predicting the presence of hydromyelia. CONCLUSIONS AND CLINICAL IMPORTANCE The MRI finding of hydromyelia might be a predictor of lesion chronicity in focal IVDE, helping to guide planning of hemilaminectomy surgery.
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Affiliation(s)
- Philippa J Johnson
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
| | - Amy B Todd-Donato
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
| | - Andrew D Miller
- Department of Biomedical Sciences, Cornell University, Ithaca, New York, USA
| | - Yu Wang
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
| | - Chris Holm
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
| | | | - Claudia S Colón Acevedo
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
| | - Jonathan H Wood
- Department of Clinical Sciences, Cornell University College of Veterinary Medicine, Ithaca, New York, USA
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Bordoni B, Walkowski S, Ducoux B, Tobbi F. The Cranial Bowl in the New Millennium and Sutherland's Legacy for Osteopathic Medicine: Part 2. Cureus 2020; 12:e10435. [PMID: 33062548 PMCID: PMC7556686 DOI: 10.7759/cureus.10435] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
Cranial osteopathic medicine is practiced all over the world, respecting the dictates of the creator, Dr Sutherland. Despite the current manual approach faithfully follows the theoretical and practical bases that make up the cranial model of the last century, there are many scientific evidences that highlight the criticalities of the same model. In the first part we reviewed the role of the meninges and cerebrospinal fluid (CSF), as well as we discussed some rhythms present in the central nervous system; these latter elements are the pillars to support the theoretical idea of the movement of the skull evaluated and palpated by the osteopath. In this second part we will review the mechanical characteristics of other structures that make up the cranial system, highlighting new perspectives for clinical practice, thanks to the most recent data derived from scientific research.
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Affiliation(s)
- Bruno Bordoni
- Physical Medicine and Rehabilitation, Foundation Don Carlo Gnocchi, Milan, ITA
| | - Stevan Walkowski
- Osteopathic Manipulative Medicine, Heritage College of Osteopathic Medicine-Dublin, Dublin, USA
| | - Bruno Ducoux
- Osteopathy, Formation Recherche Osteopathie Prévention, Bordeaux, FRA
| | - Filippo Tobbi
- Osteopathy, Poliambulatorio Medico e Odontoiatrico, Varese, ITA
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Coenen W, Gutiérrez-Montes C, Sincomb S, Criado-Hidalgo E, Wei K, King K, Haughton V, Martínez-Bazán C, Sánchez AL, Lasheras JC. Subject-Specific Studies of CSF Bulk Flow Patterns in the Spinal Canal: Implications for the Dispersion of Solute Particles in Intrathecal Drug Delivery. AJNR Am J Neuroradiol 2019; 40:1242-1249. [PMID: 31196863 PMCID: PMC7048533 DOI: 10.3174/ajnr.a6097] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/22/2019] [Accepted: 05/08/2019] [Indexed: 11/07/2022]
Abstract
BACKGROUND AND PURPOSE Recent flow dynamics studies have shown that the eccentricity of the spinal cord affects the magnitude and characteristics of the slow bulk motion of CSF in the spinal subarachnoid space, which is an important variable in solute transport along the spinal canal. The goal of this study was to investigate how anatomic differences among subjects affect this bulk flow. MATERIALS AND METHODS T2-weighted spinal images were obtained in 4 subjects and repeated in 1 subject after repositioning. CSF velocity was calculated from phase-contrast MR images for 7 equally spaced levels along the length of the spine. This information was input into a 2-time-scale asymptotic analysis of the Navier-Stokes and concentration equations to calculate the short- and long-term CSF flow in the spinal subarachnoid space. Bulk flow streamlines were shown for each subject and position and inspected for differences in patterns. RESULTS The 4 subjects had variable degrees of lordosis and kyphosis. Repositioning in 1 subject changed the degree of cervical lordosis and thoracic kyphosis. The streamlines of bulk flow show the existence of distinct regions where the fluid particles flow in circular patterns. The location and interconnectivity of these recirculating regions varied among individuals and different positions. CONCLUSIONS Lordosis, kyphosis, and spinal cord eccentricity in the healthy human spine result in subject-specific patterns of bulk flow recirculating regions. The extent of the interconnectivity of the streamlines among these recirculating regions is fundamental in determining the long-term transport of solute particles along the spinal canal.
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Affiliation(s)
- W Coenen
- From the Departments of Mechanical and Aerospace Engineering (W.C., S.S., E.C.-H., A.L.S., J.C.L.)
| | - C Gutiérrez-Montes
- Department of Mechanical and Mining Engineering (C.G.-M., C.M.-B.), University of Jaén, Jaén, Andalucía, Spain
| | - S Sincomb
- From the Departments of Mechanical and Aerospace Engineering (W.C., S.S., E.C.-H., A.L.S., J.C.L.)
| | - E Criado-Hidalgo
- From the Departments of Mechanical and Aerospace Engineering (W.C., S.S., E.C.-H., A.L.S., J.C.L.)
| | - K Wei
- MRI Center (K.W., K.K.), Huntington Medical Research Institutes, Pasadena, California
| | - K King
- MRI Center (K.W., K.K.), Huntington Medical Research Institutes, Pasadena, California
| | - V Haughton
- Department of Radiology (V.H.), School of Medicine and Public Health, University of Wisconsin, Madison, Wisconsin
| | - C Martínez-Bazán
- Department of Mechanical and Mining Engineering (C.G.-M., C.M.-B.), University of Jaén, Jaén, Andalucía, Spain
| | - A L Sánchez
- From the Departments of Mechanical and Aerospace Engineering (W.C., S.S., E.C.-H., A.L.S., J.C.L.)
| | - J C Lasheras
- From the Departments of Mechanical and Aerospace Engineering (W.C., S.S., E.C.-H., A.L.S., J.C.L.)
- Bioengineering (J.C.L.), University of California, San Diego, San Diego, California
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Thompson A, Madan N, Hesselink JR, Weinstein G, Munoz del Rio A, Haughton V. The Cervical Spinal Canal Tapers Differently in Patients with Chiari I with and without Syringomyelia. AJNR Am J Neuroradiol 2015; 37:755-8. [PMID: 26585256 DOI: 10.3174/ajnr.a4597] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2015] [Accepted: 09/15/2015] [Indexed: 11/07/2022]
Abstract
BACKGROUND AND PURPOSE The cause of syringomyelia in patients with Chiari I remains uncertain. Cervical spine anatomy modifies CSF velocities, flow patterns, and pressure gradients, which may affect the spinal cord. We tested the hypothesis that cervical spinal anatomy differs between Chiari I patients with and without syringomyelia. MATERIALS AND METHODS We identified consecutive patients with Chiari I at 3 institutions and divided them into groups with and without syringomyelia. Five readers measured anteroposterior cervical spinal diameters, tonsillar herniation, and syrinx dimensions on cervical MR images. Taper ratios for C1-C7, C1-C4, and C4-C7 spinal segments were calculated by linear least squares fitting to the appropriate spinal canal diameters. Mean taper ratios and tonsillar herniation for groups were compared and tested for statistical significance with a Kruskal-Wallis test. Inter- and intrareader agreement and correlations in the data were measured. RESULTS One hundred fifty patients were included, of which 49 had syringomyelia. C1-C7 taper ratios were smaller and C4-C7 taper ratios greater for patients with syringomyelia than for those without it. C1-C4 taper ratios did not differ significantly between groups. Patients with syringomyelia had, on average, greater tonsillar herniation than those without a syrinx. However, C4-C7 taper ratios were steeper, for all degrees of tonsil herniation, in patients with syringomyelia. Differences among readers did not exceed differences among patient groups. CONCLUSIONS The tapering of the lower cervical spine may contribute to the development of syringomyelia in patients with Chiari I.
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Affiliation(s)
- A Thompson
- From the Departments of Radiology (A.T., A.M.d.R., V.H.)
| | - N Madan
- Department of Radiology (N.M., G.W.), Tufts University School of Medicine, Boston, Massachusetts
| | - J R Hesselink
- Department of Radiology (J.R.H.), University of California San Diego, San Diego, California
| | - G Weinstein
- Department of Radiology (N.M., G.W.), Tufts University School of Medicine, Boston, Massachusetts
| | - A Munoz del Rio
- From the Departments of Radiology (A.T., A.M.d.R., V.H.) Medical Physics (A.M.d.R.), University of Wisconsin School of Medicine and Public Health, Madison, Wisconsin
| | - V Haughton
- From the Departments of Radiology (A.T., A.M.d.R., V.H.)
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Støverud KH, Alnæs M, Langtangen HP, Haughton V, Mardal KA. Poro-elastic modeling of Syringomyelia - a systematic study of the effects of pia mater, central canal, median fissure, white and gray matter on pressure wave propagation and fluid movement within the cervical spinal cord. Comput Methods Biomech Biomed Engin 2015; 19:686-98. [PMID: 26176823 DOI: 10.1080/10255842.2015.1058927] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Syringomyelia, fluid-filled cavities within the spinal cord, occurs frequently in association with a Chiari I malformation and produces some of its most severe neurological symptoms. The exact mechanism causing syringomyelia remains unknown. Since syringomyelia occurs frequently in association with obstructed cerebrospinal fluid (CSF) flow, it has been hypothesized that syrinx formation is mechanically driven. In this study we model the spinal cord tissue either as a poro-elastic medium or as a solid linear elastic medium, and simulate the propagation of pressure waves through an anatomically plausible 3D geometry, with boundary conditions based on in vivo CSF pressure measurements. Then various anatomic and tissue properties are modified, resulting in a total of 11 variations of the model that are compared. The results show that an open segment of the central canal and a stiff pia (relative to the cord) both increase the radial pressure gradients and enhance interstitial fluid flow in the central canal. The anterior median fissure, anisotropic permeability of the white matter, and Poisson ratio play minor roles.
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Affiliation(s)
- Karen H Støverud
- a Simula Research Laboratory , P.O. Box 134, 1325 Lysaker , Norway.,b Department of Informatics , University of Oslo , P.O. Box 1080 Blindern, 0316 Oslo , Norway
| | - Martin Alnæs
- a Simula Research Laboratory , P.O. Box 134, 1325 Lysaker , Norway
| | - Hans Petter Langtangen
- a Simula Research Laboratory , P.O. Box 134, 1325 Lysaker , Norway.,b Department of Informatics , University of Oslo , P.O. Box 1080 Blindern, 0316 Oslo , Norway
| | - Victor Haughton
- a Simula Research Laboratory , P.O. Box 134, 1325 Lysaker , Norway.,c Wisconsin Institutes of Medical Research , 1111 Highland Ave., Madison , WI 53705 , USA
| | - Kent-André Mardal
- a Simula Research Laboratory , P.O. Box 134, 1325 Lysaker , Norway.,d Department of Mathematics , University of Oslo , P.O. Box 1080 Blindern, 0316 Oslo , Norway
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Haughton V, Mardal KA. Spinal fluid biomechanics and imaging: an update for neuroradiologists. AJNR Am J Neuroradiol 2014; 35:1864-9. [PMID: 25012674 DOI: 10.3174/ajnr.a4023] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
Flow imaging with cardiac-gated phase-contrast MR has applications in the management of neurologic disorders. Together with computational fluid dynamics, phase-contrast MR has advanced our understanding of spinal CSF flow. Phase-contrast MR is used to evaluate patients with Chiari I malformation who are candidates for surgical treatment. In theory, abnormal CSF flow resulting from the abnormal tonsil position causes syringomyelia and other neurologic signs and symptoms in patients with Chiari I. CSF flow imaging also has research applications in syringomyelia and spinal stenosis. To optimize MR acquisition and interpretation, neuroradiologists must have familiarity with healthy and pathologic patterns of CSF flow. The purpose of this review is to update concepts of CSF flow that are important for the practice of flow imaging in the spine.
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Affiliation(s)
- V Haughton
- From the Department of Radiology (V.H.), University of Wisconsin, Madison, Wisconsin
| | - K-A Mardal
- Center for Biological Computing (K.-A.M.), Simula, Lysaker, Norway
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