Abstract
Cine-phase-contrast-MRI was used to measure the three-dimensional cerebrospinal fluid (CSF) flow field inside the central nervous system (CNS) of a healthy subject. Image reconstruction and grid generation tools were then used to develop a three-dimensional fluid–structure interaction model of the CSF flow inside the CNS. The CSF spaces were discretized using the finite-element method and the constitutive equations for fluid and solid motion solved in ADINA-FSI 8.6. Model predictions of CSF velocity magnitude and stroke volume were found to be in excellent agreement with the experimental data. CSF pressure gradients and amplitudes were computed in all regions of the CNS. The computed pressure gradients and amplitudes closely match values obtained clinically. The highest pressure amplitude of 77 Pa was predicted to occur in the lateral ventricles. The pressure gradient between the lateral ventricles and the lumbar region of the spinal canal did not exceed 132 Pa (~1 mmHg) at any time during the cardiac cycle. The pressure wave speed in the spinal canal was predicted and found to agree closely with values previously reported in the literature. Finally, the forward and backward motion of the CSF in the ventricles was visualized, revealing the complex mixing patterns in the CSF spaces. The mathematical model presented in this article is a prerequisite for developing a mechanistic understanding of the relationships among vasculature pulsations, CSF flow, and CSF pressure waves in the CNS.
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References
Alperin, N., E. M. Vikingstad, B. Gomez-Anson, and D. N. Levin. Hemodynamically independent analysis of cerebrospinal fluid and brain motion observed with dynamic phase contrast MRI. Magn. Reson. Med. 35:741–754, 1996.
Baledent, O., M. C. Henry-Feugeas, and I. Idy-Peretti. Cerebrospinal fluid dynamics and relation with blood flow: a magnetic resonance study with semiautomated cerebrospinal fluid segmentation. Invest. Radiol. 36:368–377, 2001.
Barshes, N., A. Demopoulos, and H. H. Engelhard. Anatomy and physiology of the leptomeninges and CSF space. In: Leptomeningeal Metastases, edited by L. E. Abrey, M. C. Chamberlain, and H. H. Engelhard. New York: Springer, 2005, pp. 1–16.
Bateman, G. A. Vascular compliance in normal pressure hydrocephalus. AJNR Am. J. Neuroradiol. 21:1574–1585, 2000.
Bathe, K. J. Finite Element Procedures. Upper Saddle River: Prentice Hall, p. 1037, 1996.
Belytschko, T., W. K. Liu, and B. Moran. Nonlinear Finite Elements for Continua and Structures, xvi ed. New York: Wiley, p. 650, 2000.
Bertram, C. D., A. R. Brodbelt, and M. A. Stoodley. The origins of syringomyelia: numerical models of fluid/structure interactions in the spinal cord. J. Biomech. Eng. 127:1099–1109, 2005.
Bhadelia, R. A., A. R. Bogdan, R. F. Kaplan, and S. M. Wolpert. Cerebrospinal fluid pulsation amplitude and its quantitative relationship to cerebral blood flow pulsations: a phase-contrast MR flow imaging study. Neuroradiology 39:258–264, 1997.
Carpenter, P. W., K. Berkouk, and A. D. Lucey. Pressure wave propagation in fluid-filled co-axial elastic tubes. Part 2: mechanisms for the pathogenesis of syringomyelia. J. Biomech. Eng. 125:857–863, 2003.
Cheng, S., K. Tan, and L. E. Bilston. The effects of the interthalamic adhesion position on cerebrospinal fluid dynamics in the cerebral ventricles. J. Biomech. 43:579–582, 2010.
Czosnyka, M., Z. Czosnyka, S. Momjian, and J. D. Pickard. Cerebrospinal fluid dynamics. Physiol. Meas. 25:R51–R76, 2004.
Davson, H. Formation and drainage of the cerebrospinal fluid. In: Hydrocephalus, edited by K. Shapiro, A. Marmarou, and H. Portnoy. New York: Raven Press, 1984, pp. 3–40.
Ellington, E., and G. Margolis. Block of arachnoid villus by subarachnoid hemorrhage. J. Neurosurg. 30:651–657, 1969.
Enzmann, D. R., and N. J. Pelc. Normal flow patterns of intracranial and spinal cerebrospinal fluid defined with phase-contrast cine MR imaging. Radiology 178:467–474, 1991.
Fin, L., and R. Grebe. Three dimensional modeling of the cerebrospinal fluid dynamics and brain interactions in the aqueduct of sylvius. Comput. Methods Biomech. 6:163–170, 2003.
Fung, Y. C. Biomechanics: Mechanical Properties of Living Tissues, xviii ed. New York: Springer-Verlag, p. 568, 1993.
Greitz, D. Radiological assessment of hydrocephalus: new theories and implications for therapy. Neurosurg. Rev. 27:145–167, 2004.
Greitz, D., K. Ericson, and O. Flodmark. Pathogenesis and mechanics of spinal cord cysts—a new hypothesis based on magnetic resonance studies of cerebrospinal fluid dynamics. Int. J. Neuroradiol. 5:61–78, 1999.
Greitz, D., A. Franck, and B. Nordell. On the pulsatile nature of intracranial and spinal CSF-circulation demonstrated by MR imaging. Acta Radiol. 34:321–328, 1993.
Greitz, D., J. Hannerz, T. Rahn, H. Bolander, and A. Ericsson. MR imaging of cerebrospinal fluid dynamics in health and disease on the vascular pathogenesis of communicating hydrocephalus and benign intracranial hypertension. Acta Radiol. 35:204–211, 1994.
Gupta, S., M. Soellinger, P. Boesiger, D. Poulikakos, and V. Kurtcuoglu. Three-dimensional computational modeling of subject-specific cerebrospinal fluid flow in the subarachnoid space. J. Biomech. Eng. 131:1–11, 2009.
Henry-Feugeas, M. C., I. Idy-Peretti, O. Baledent, A. Poncelet-Didon, G. Zannoli, J. Bittoun, and E. Schouman-Claeys. Origin of subarachnoid cerebrospinal fluid pulsations: a phase-contrast MR analysis. Magn. Reson. Imaging 18:387–395, 2000.
Huang, T. Y., H. W. Chung, M. Y. Chen, L. H. Giiang, S. C. Chin, C. S. Lee, C. Y. Chen, and Y. J. Liu. Supratentorial cerebrospinal fluid production rate in healthy adults: quantification with two-dimensional cine phase-contrast MR imaging with high temporal and spatial resolution. Radiology 233:603–608, 2004.
Jacobson, E. E., D. F. Fletcher, M. K. Morgan, and I. H. Johnston. Fluid dynamics of the cerebral aqueduct. Pediatr. Neurosurg. 24:229–236, 1996.
Kalata, W., B. A. Martin, J. N. Oshinski, M. Jerosch-Herold, T. J. Royston, and F. Loth. MR measurement of cerebrospinal fluid velocity wave speed in the spinal canal. IEEE Trans. Biomed. Eng. 56:1765–1768, 2009.
Kroin, J. S., A. Ali, M. York, and R. D. Penn. The distribution of medication along the spinal canal after chronic intrathecal administration. Neurosurgery 33:226–230, 1993 (discussion 230).
LaVan, D. A., T. McGuire, and R. Langer. Small-scale systems for in vivo drug delivery. Nat. Biotechnol. 21:1184–1191, 2003.
Levine, D. N. The pathogenesis of normal pressure hydrocephalus: a theoretical analysis. Bull. Math. Biol. 61:875–916, 1999.
Linninger, A. A., M. R. Somayaji, M. Mekarski, and L. Zhang. Prediction of convection-enhanced drug delivery to the human brain. J. Theor. Biol. 250:125–138, 2008.
Linninger, A. A., B. Sweetman, and R. Penn. Normal and hydrocephalic brain dynamics: the role of reduced cerebrospinal fluid reabsorption in ventricular enlargement. Ann. Biomed. Eng. 37:1434–1447, 2009.
Linninger, A. A., M. Xenos, D. C. Zhu, M. R. Somayaji, S. Kondapalli, and R. D. Penn. Cerebrospinal fluid flow in the normal and hydrocephalic human brain. IEEE Trans. Biomed. Eng. 54:291–302, 2007.
Lorenzo, A. V., L. K. Page, and G. V. Watters. Relationship between cerebrospinal fluid formation, absorption and pressure in human hydrocephalus. Brain 93:679–692, 1970.
Loth, F., M. A. Yardimci, and N. Alperin. Hydrodynamic modeling of cerebrospinal fluid motion within the spinal cavity. J. Biomech. Eng. 123:71–79, 2001.
Martins, A. N., J. K. Wiley, and P. W. Myers. Dynamics of the cerebrospinal fluid and the spinal dura mater. J. Neurol. Neurosurg. Psychiatry 35:468–473, 1972.
Nieuwenhuys, R., J. Voogd, and Cv Huijzen. The Human Central Nervous System: A Synopsis and Atlas, xii ed. New York: Springer-Verlag, p. 437, 1988.
Pena, A., M. D. Bolton, H. Whitehouse, and J. D. Pickard. Effects of brain ventricular shape on periventricular biomechanics: a finite-element analysis. Neurosurgery 45:107–116, 1999 (discussion 116–118).
Pena, A., N. G. Harris, M. D. Bolton, M. Czosnyka, and J. D. Pickard. Communicating hydrocephalus: the biomechanics of progressive ventricular enlargement revisited. Acta Neurochir. Suppl. 81:59–63, 2002.
Penn, R. D., M. C. Lee, A. A. Linninger, K. Miesel, S. N. Lu, and L. Stylos. Pressure gradients in the brain in an experimental model of hydrocephalus. J. Neurosurg. 102:1069–1075, 2005.
Saltzman, W. M., and W. L. Olbricht. Building drug delivery into tissue engineering. Nat. Rev. Drug Discov. 1:177–186, 2002.
Segal, M. B. Transport of nutrients across the choroid plexus. Microsc. Res. Tech. 52:38–48, 2001.
Sherwood, L. Fundamentals of Physiology: A Human Perspective. St. Paul/Minneapolis: West Pub. Co., p. 572, 1995.
Silbernagl, S., and A. Despopoulos. Color Atlas of Physiology. New York: Thieme, p. 441, 2009.
Silverberg, G. D., G. Heit, S. Huhn, R. A. Jaffe, S. D. Chang, H. Bronte-Stewart, E. Rubenstein, K. Possin, and T. A. Saul. The cerebrospinal fluid production rate is reduced in dementia of the Alzheimer’s type. Neurology 57:1763–1766, 2001.
Sussman, T., and K. J. Bathe. A finite-element formulation for nonlinear incompressible elastic and inelastic analysis. Comput. Struct. 26:357–409, 1987.
Thron, A. K., C. Rossberg, and A. Mironov. Vascular Anatomy of the Spinal Cord: Neuroradiological Investigations and Clinical Syndromes. New York: Springer-Verlag, p. 114, 1988.
Upton, M. L., and R. O. Weller. The morphology of cerebrospinal fluid drainage pathways in human arachnoid granulations. J. Neurosurg. 63:867–875, 1985.
Wagshul, M. E., J. J. Chen, M. R. Egnor, E. J. McCormack, and P. E. Roche. Amplitude and phase of cerebrospinal fluid pulsations: experimental studies and review of the literature. J. Neurosurg. 104:810–819, 2006.
White, D. N., K. C. Wilson, G. R. Curry, and R. J. Stevenson. The limitation of pulsatile flow through the aqueduct of Sylvius as a cause of hydrocephalus. J. Neurol. Sci. 42:11–51, 1979.
Yaksh, T. L. Spinal Drug Delivery, xix ed. New York: Elsevier, p. 614, 1999.
Yallapragada, N., and N. Alperin. Characterization of spinal canal hydrodynamics and compliance using bond graph technique and CSF flow measurements by MRI. In: Proceeding of the International Society for Magnetic Resonance in Medicine, vol. 11, 2658, 2004.
Zhang, X., and J. F. Greenleaf. Noninvasive generation and measurement of propagating waves in arterial walls. J. Acoust. Soc. Am. 119:1238–1243, 2006.
Zhu, D. C., M. Xenos, A. A. Linninger, and R. D. Penn. Dynamics of lateral ventricle and cerebrospinal fluid in normal and hydrocephalic brains. J. Magn. Reson. Imaging 24:756–770, 2006.
Acknowledgments
The authors would like to gratefully acknowledge NIH for their partial financial support of this project, NIH-5R21EB004956. We are grateful to Materialise Inc., for providing a free research license of the Mimics image reconstruction software. Dr. Richard Penn and Dr. David Zhu are also acknowledged for the collaboration in the original acquisition of the CINE-MRI data as described in Zhu et al. 52
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Associate Editor Stefan Duma oversaw the review of this article.
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Sweetman, B., Linninger, A.A. Cerebrospinal Fluid Flow Dynamics in the Central Nervous System. Ann Biomed Eng 39, 484–496 (2011). https://doi.org/10.1007/s10439-010-0141-0
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DOI: https://doi.org/10.1007/s10439-010-0141-0