Hydrocephalus pp 292-302 | Cite as

Biomechanical Analysis of Hydrocephalus by Different Physical Models

  • Tatsuya Nagashima
  • Seiji Hamano
  • Norihiko Tamaki
  • Satoshi Matsumoto
  • Yukio Tada
Conference paper


The finite element method (FEM), an advanced numerical method supported by computer technology, was introduced to the biomechanical research on hydrocephalus. In the present study, comparative analysis of intracerebral biomechanics in hydrocephalus was conducted using different physical models.

First, two dimensional finite element analysis with elastic models was performed to clarify the intracerebral stress distribution in hydrocephalus. It showed a characteristic tensile stress concentration at the anterolateral angle of the lateral ventricle. The distribution of stress concentration coincided with the distribution of periventricular lucency on computed tomography (CT) scan. The periventricular tensile stress concentration was decreased by the enlargement of the ventricle. Second, simulation using a hyper-elastic model showed the same pattern of intracerebral stress distribution as the elastic model. However, the former showed wider distribution than the latter. Third, a poroeleastic model was introduced. The poroelastic model is a first approximation of Hakim’s concept of the “open cell sponge”, and it describes cerebrospinal fluid (CSF)/tissue interaction in the hydrocephalic process. The progress of ventricular dilatation and the extension of periventricular cerebrospinal fluid edema were well represented by the poroelastic model.


Hydrocephalus Computer simulation Cerebrospinal fluid Biomechanics 


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  1. Aoyagi N, Masuzawa H, Sano K, Kobayashi S (1980) Compliance of the brain. No To Shinkei 32: 47–56PubMedGoogle Scholar
  2. Davson H (1967) Physiology of the cerebrospinal fluid. Churchill, LondonGoogle Scholar
  3. Fenstermacher JD, Patlak CS (1976) The movement of water and solute in the brain of mammals. In: Pappius HM, Feindel W (eds) The dynamics of brain edema. Springer, New York, pp 87–94CrossRefGoogle Scholar
  4. Fitz CR, Harwood-Nash DC, Chung S, Siesjo IM (1978) Metrizamide ventriculography and computed tomography in infants and children. Neuroradiology 16: 6–9PubMedCrossRefGoogle Scholar
  5. Hakim S, Hakim C (1984) A biomechanical model of hydrocephalus and its relationship to treatment. In: Shapiro K, Marmarou T, Portnoy H (eds) Hydrocephalus. Raven, New York, pp 143–160Google Scholar
  6. Hiratsuka H, Keigo F, Kodai O, Tskasato Y, Matsushita T, Yutani I (1979) Modification of periventricular reflux in metrizamide CT cisternography. J Comput Assist Tomogr 3: 204–208PubMedCrossRefGoogle Scholar
  7. Marmarou T (1984) Biomechanics and theoretical models of hydrocephalus: Summary. In: Shapiro K, Marmarou T, Portnoy H (eds) Hydrocephalus. Raven, New York, pp 193–195Google Scholar
  8. Marmarou A, Shapiro K, Poll W, Shulman K (1978) Study of kinetics of fluid movement within brain tissue. In: Bek JWF, Bosch DA, Brock M (eds) Intracranial Pressure III. Springer, New York, pp 1–4Google Scholar
  9. Milhorat TH, Clark RG, Hammock MK, McGrath PP (1970) Structural, ultrastructural, and permeability changes in ependyma and surrounding brain favoring equilibration in progressive hydrocephalus. Arch Neurol 22: 397–407PubMedCrossRefGoogle Scholar
  10. Mosely IF (1979) Factors influencing the development of periventricular lucencies in patients with raised intracranial pressure. Neuroradiology 17: 65–69CrossRefGoogle Scholar
  11. Nagashima T, Tamaki N, Matsumoto S, Seguchi Y, Tamura T (1984) Biohmechanics of vasogenic brain edema: An application of the finite element method. In: Klazo I, Spaz M (eds) Brain edema. Springer, Berlin, pp 92–98Google Scholar
  12. Nagashima T, Tamaki N, Matsumoto S, Horwits B, Seguchi Y (1987) Biomechanics of hydrocephalus: A new theoretical model. Neurosurgery 21: 898–904PubMedCrossRefGoogle Scholar
  13. Ommaya AK (1968) Mechanical properties of tissue of the nervous system. J Biomech 1: 127–138PubMedCrossRefGoogle Scholar
  14. Pasquini U, Bronzini M, Gozzol E, Mancini F, Salvolini U (1977) Periventricular hypodensity in hydrocephalus: A clinicopathological and mathematical analysis using computed tomography. J Comput Assist Tomogr 1: 443–448PubMedCrossRefGoogle Scholar
  15. Penn RD, Bucus JW (1984) The brain as a sponge: a computed tomographic look at Hakim’s hypothesis. Neurosurgery 14: 670–675PubMedCrossRefGoogle Scholar
  16. Rall DP, Oppelt WW, Patlak CS (1962) Extracellular space of brain as determined by diffusion of inulin from the ventricular system. Life Sci 1: 43–48CrossRefGoogle Scholar
  17. Rapoport SI (1978) A mathematical model for vasogenic brain edema. J Theor Biol 74: 439–467PubMedCrossRefGoogle Scholar
  18. Reulen HJ, Graham R, Spatz M, Klazo I (1977) Role of pressure gradients and bulk flow in dynamics of vasogenic brain edema. J Neurosurg 46: 24–35PubMedCrossRefGoogle Scholar
  19. Rosenberg GA, Kyner WT, Estrada E (1980) Bulk flow of brain interstitial fluid under normal and hyperosmolar conditions. Am J Physiol 238: 42–49Google Scholar
  20. Sahar A, Hochwald GM, Ransohoff J (1970) Experimental hydrocephalus: Cerebrospinal fluid formation and ventricular size as a function of intraventricular pressure. J Neurosci 11: 81–91Google Scholar
  21. Walsh EK, Alfonso S (1976) Elastic behavior of brain tissue in vivo. Am J Physiol 260: 1058–1062Google Scholar
  22. Weiler RO, Michell J (1980) Cerebrospinal fluid edema and its sequellae in hydrocephalus. In: Cervosr-Navaro J, Ferszt R (eds) Brain edema. Raven, New York, pp 111–123Google Scholar
  23. Zienkiewicz OC (1970) The finite element method. McGraw Hill, LondonGoogle Scholar

Copyright information

© Springer-Verlag Tokyo 1991

Authors and Affiliations

  • Tatsuya Nagashima
  • Seiji Hamano
  • Norihiko Tamaki
  • Satoshi Matsumoto
    • 1
  • Yukio Tada
    • 2
  1. 1.Department of NeurosurgeryKobe University School of Medicine, Kobe UniversityKobe, 650Japan
  2. 2.Department of System Engineering, Faculty of EngineeringKobe UniversityKobe, 657Japan

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