Local Compliance Effects on the Global Pressure-Volume Relationship in Models of Intracranial Pressure Dynamics

Mathematical and Computer Modelling of Dynamical Systems

Volumn 6, Issue 4, 2000, Pages 445-465

  Stevens, S A ^a   Lakin, W D ^b  

^a UNIVERSITY OF MONTANA   (United States)

^b University of Vermont   (United States)

Author keywords

Cerebrospinal fluid (CSF); Compliances; Dynamic intracranial pressures; Lumped parameter models

Indexed keywords

EID: 0034549381     PISSN: 13873954     EISSN: None     Source Type: Journal    
DOI: 10.1076/mcmd.6.4.445.3655     Document Type: Article

References (22)

1. Agarwal, G.C.: Fluid flow a special case. In: J.H.V. Brown et al. (eds.): Biomedical engineering. Philadelphia, F.A.Davis Company, 1971.
2. Albeck, M.J., Gjerris, F. and Sorenson, P.S.: Intracranial pressure and cerebrospinal fluid outflow conductance in healthy subjects. J. Neurosurgery 74 (1991), pp. 597-600.
3. Chopp, M. and Portney, H.D.: Systems analysis of intracranial pressure. J. Neurosurg. 53 (1980), pp. 516-527.
4. Czosnyka, M., Piechnik, S., Koszewski, W., Laniewski, P., Maksymowicz, W., Paluszek, K., Smielewski, P., Zabolotny, W. and Zaworski, W.: The dynamics of cerebral blood perfusion pressure and CSF circulation - a modelling study. In: C.J.J. Avezaat et al. (eds.): Intracranial Pressures VIII. Berlin - Heidelberg, Springer, 1993, pp. 699-706.
5. Czosnyka, M., Piechnik, S., Richards, H.K., Kirkpatrick, P., Smielewski, P. and Pickard, J.D.: Contribution of mathematical modelling to the interpretation of bedside tests of cerebrovascular autoregulation. J. Neurol. Neurosurg. Psychiatry 63 (1997), pp. 721-731.
6. Davson, H., Hollingsworth, B. and Segal, M.B.: The mechanism of drainage of the cerebrospinal fluid. Brain 93 (1970), pp. 665-678.
7. Friden, H. and Ekstedt, J.: Volume/Pressure relationships of the cerebrospinal space in humans. J. Neurosurgery 4 (1983), pp. 351-366.
8. Guyton, A.C.: Textbook of Medical Physiology (second edition). Philadelphia, W.B. Saunders Company, 1991.
9. Hakim, S.V., Venegas, J.G. and Burton, J.D.: The physics of the cranial cavity, hydrocephalus and normal pressure: mechanical interpretation and mathematical models. Surg. Neurol. 5 (1976), pp. 187-210.
10. Karni, Z., Bear, J., Sorek, S. and Pinczewki, Z.: A quasi-steady state compartmental model of intracranial fluid dynamics. Med. Biol. Engng. Comput. 25 (1987), pp. 167-172.
11. Kellie, G.: An account. . . , with some reflections on the pathology of the brain. Edinburgh Med. Chir. Soc. Trans. 1 (1824), pp. 84-169.
12. Lakin, W.D. and Gross, C.E.: A hemodynamic model for the arterial pulsatile contribution to the intracranial pressure wave. Neurol. Res. 14 (1992), pp. 219-225.
13. Lakin, W.D., Yu, J. and Penar, P.L.: Mathematical modeling of pressure dynamics in the intracranial system. Nova Journal of Mathematics, Game Theory and Algebra 5-2 (1996).
14. Lakin, W.D., Yu, J. and Penar, P.L.: Analysis and Validation of a Mathematical Model for Intracranial Pressure Dynamics. Math. and Computer Modelling of Dynamical Systems 3 (1999), pp. 54-73.
15. Lewer, A.K. and Bunt, E.A.: Dysfunction of the fluid mechanical craniospinal systems as revealed by stress/strain diagrams. S. Afr. Mech. Engng 28 (1978), pp. 159-166.
16. Marmarou, A., Shulman, K. and LaMorges, J.: Compartmental analysis of compliance and outflow resistance of the cerebrospinal fluid system. J. Neurosurg. 43 (1975), pp. 523-534.
17. Miller, J.D.: Volume and pressure in the craniospinal axis. Clin. Neurosurg. 22 (1975), pp. 76-105.
18. Monro, J.: Observations on the Structure and Functions of the Nervous System. Edinburgh, W. Creech, 1783.
19. Penar, P., Lakin, W.D. and Yu, J.: Normal Pressure Hydrocephalus: An Analysis of Etiology and Response to Shunting Based on Mathematical Modeling. Neurological Research 17 (1995), pp. 83-88.
20. Portney, H.D. and Chopp, M.: Intracranial fluid dynamics, interrelationship of CSF and vascular phenomenon. Concepts in Pediatric Neurosurgery 3 (1983), pp. 133-144.
21. Sorek, S., Bear, J. and Karni, Z.: A non-steady compartmental flow model of the cerebrovascular system. J. Biomechanics 21 (1988), pp. 695-704.
22. Sullivan, H. and Allison, J.: Physiology of cerebrospinal fluid. In: R. Williams and S. Rengachary (eds.): Neurosurgery 3, New York, McGraw Hillbook Co., 1985, pp. 2125-2135.