A simple mathematical model of the interaction between intracranial pressure and cerebral hemodynamics

Journal of Applied Physiology

Volumn 82, Issue 4, 1997, Pages 1256-1269

  Ursino, Mauro ^a,b   Lodi, Carlo Alberto ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b Info Sistemistica ^*  (Italy)

Author keywords

cerebral autoregulation; intracranial hemodynamics; mathematical modeling; plateau waves; pressure volume index

Indexed keywords

ARTICLE; BRAIN ARTERY; BRAIN BLOOD FLOW; BRAIN CIRCULATION; BRAIN PERFUSION; BRAIN VEIN; CEREBROSPINAL FLUID FLOW; COMPUTER SIMULATION; HEMODYNAMICS; INTRACRANIAL PRESSURE; MATHEMATICAL MODEL; PRACTICE GUIDELINE; PRESSURE VOLUME CURVE; PRIORITY JOURNAL;

EID: 0030984266     PISSN: 87507587     EISSN: None     Source Type: Journal    
DOI: 10.1152/jappl.1997.82.4.1256     Document Type: Article

References (42)

1. Aaslid, R., K. Lindegaard, W. Sorteberg, and H. Nornes. Cerebral autoregulation dynamics in humans. Stroke 20: 45-52, 1989.
2. Asgeirsson, B., P. O. Grande, and C. H. Nordström. A new treatment of post-trauma brain edema based on hemodynamic principles for brain volume regulation. Intensive Care Med. 20: 260-267, 1994.
3. Auer, L. M., N. Ishiyama, and R. Pucher. Cerebrovascular response to intracranial hypertension. Acta Neurochir. 84: 124-128, 1987.
4. Avezaat, C. J. J., and J. H. M. van Eijndhoven. Cerebrospinal fluid pulse pressure and intracranial volume-pressure relationships. J. Neurol. Neurosurg. Psychiatry 42: 687-700, 1979.
5. Avezaat, C. J. J., and J. H. M. van Eijndhoven. The conflict between CSF pulse pressure and volume-pressure response during plateau waves. In: Intracranial Pressure V, edited by I. Ishii, H. Nagai, and M. Brock. Berlin: Springer-Verlag, 1983, p. 326-332.
6. Avezaat, C. J. J., and J. H. M. van Eijndhoven. The role of the pulsatile pressure variations in intracranial pressure monitoring. Neurosurg. Rev. 9: 113-120, 1986.
7. Bouma, G. J., J. P. Muizelaar, K. Bandoh, and A. Marmarou. Blood pressure and intracranial pressure-volume dynamics in severe head injury: relationship with cerebral blood flow. J. Neurosurg. 77: 15-19, 1992.
8. Charlton, J. D., H. A. Guess, J. D. Mann, H. T. Nagle, and R. N. Johnson. A pressure controller for estimating parameters for a nonlinear CSF model. IEEE Trans. Biomed. Eng. 35: 752-754, 1988.
9. Chopp, M., and H. D. Portnoy. Starling resistor as a model of the cerebrovascular bed. In: Intracranial Pressure V, edited by I. Ishii, H. Nagai, and M. Brock. Berlin: Springer-Verlag, 1983, p. 174-179.
10. 2 cerebrovascular reactivity as a function of perfusion pressure - a modelling study. Acta Neurochir. 121: 159-165, 1993.
11. Glass, L., and M. C. Mackey. From Clocks to Chaos: The Rhythms of Life. Princeton, NJ: Princeton University Press, 1988.
12. Gray, W. J., and M. J. Rosner. Pressure-volume index as a function of cerebral perfusion pressure. 1. The effects of cerebral perfusion pressure changes and anesthesia. J. Neurosurg. 67: 369-376, 1987.
13. Gray, W. J., and M. J. Rosner. Pressure-volume index as a function of cerebral perfusion pressure. 2. The effects of low cerebral perfusion pressure and autoregulation. J. Neurosurg. 67: 377-380, 1987.
14. Hayashi, M., H. Kobayashi, Y. Handa, H. Kawano, and H. Ishii. Cerebrospinal fluid dynamics with plateau waves. In: Intracranial Pressure VI, edited by J. D. Miller, G. M. Teasdale, J. O. Rowan, S. L. Galbraith, and A. D. Mendelow. Berlin: Springer-Verlag, 1986, p. 305-309.
15. Hayashi, M., H. Kobayashi, Y. Handa, H. Kawano, and M. Kabuto. Brain blood volume and blood flow in patients with plateau waves. J. Neurosurg. 63: 556-561, 1985.
16. Hoffman, H. Biomathematics of intracranial CSF and hemodynamics, simulation and analysis with the aid of a mathematical model. Acta Neurochir. Suppl. 40: 117-130, 1987.
17. Ikeyama, A., S. Maeda, A. Ito, K. Banno, H. Nagai, and M. Furuse. The analysis of the intracranial pressure by the concept of the driving pressure from the vascular system. Neurochirurgia 21: 43-53, 1978.
18. Kontos, H. A., E. P. Wei, R. M. Navari, J. E. Levasseur, W. I. Rosenblum, and J. L. Patterson. Responses of cerebral arteries and arterioles to acute hypotension and hypertension. Am. J. Physiol. 234 (Heart Circ. Physiol. 3): H371-H383, 1978.
19. Kosteljanetz, M. Intracranial pressure: cerebrospinal fluid dynamics and pressure-volume relations. Acta Neurol. Scand. 75, Suppl, 111: 1-23, 1987.
20. Mann, J. D., A. B. Butler, J. E. Rosenthal, C. J. Maffeo, R. N. Johnson, and N. H. Bass. Regulation of intracranial pressure in rat, dog and man. Ann. Neurol. 3: 156-165, 1978.
21. Marmarou, A., R. L. Anderson, J. D. Ward, S. C. Choi, H. F. Young, H. M. Eisenberg, M. A. Foulkes, L. F. Marshall, and J. A. Jane. Impact of ICP instability and hypotension on outcome in patients with severe head trauma. J. Neurosurg. 75, Suppl.: 959-966, 1991.
22. Marmarou, A., K. Shulman, and J. LaMorgese. Compartmental analysis of compliance and outflow resistance of the cerebrospinal fluid system. J. Neurosurg. 43: 523-534, 1975.
23. Marmarou, A., K. Shulman, and R. M. Rosende. A nonlinear analysis of the cerebrospinal fluid system and intracranial pressure dynamics. J. Neurosurg. 48: 332-344, 1978.
24. Mchedlishvili, G. Arterial Behavior and Blood Circulation in the Brain. New York: Plenum, 1986.
25. Milnor, W. R. Hemodynamics. Baltimore, MD: Williams & Wilkins, 1982.
26. Muizelaar, J. P., A. Marmarou, and A. Wachi. ICP and PVI IT with blood pressure alterations and relation with CBF autoregulation. In: Intracranial Pressure VII, edited by J. T. Hoff and A. L. Betz. Berlin: Springer-Verlag, 1989, p. 825-828.
27. Nakagawa, Y., M. Tsuru, and K. Yada. Site and mechanism for compression of the venous system during experimental intracranial hypertension. J. Neurosurg. 41: 427-434, 1974.
28. Nyary, I., and J. Vajda. Relationship of cerebral blood volume changes and estimated intracranial compliance. In: Intracranial Pressure V, edited by I. Ishii, H. Nagai, and M. Brock. Berlin: Springer-Verlag, 1983, p. 316-319.
29. Paulson, O. B., S. Strandgaard, and L. Edvinsson. Cerebral autoregulation. Cerebrovasc. Brain Metab. Rev. 2: 161-192, 1990.
30. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterlin. Numerical Recipes: The Art of Scientific Computing. Cambridge, UK: Cambridge University Press, 1988.
31. Risberg, J., N. Lundberg, and D. H. Ingvar. Regional cerebral blood volume during acute transient rises of the intracranial pressure (plateau waves). J. Neurosurg. 31: 303-310, 1969.
32. Rosner, M. J. Cerebral perfusion pressure: link between intracranial pressure and systemic circulation. In: Cerebral Blood Flow, edited by J. H. Wood. New York: McGraw-Hill, 1987, p. 425-448.
33. Rosner, M. J., and D. P. Becker. Origin and evolution of plateau waves. Experimental observation and a theoretical model. J. Neurosurg. 60: 312-324, 1984.
34. Rosner, M. J., and S. Daughton. Cerebral perfusion pressure management in head injury. J. Trauma 30: 933-941, 1990.
35. Simard, J. M., and M. Bellefleur. Systemic arterial hypertension in head trauma. Am. J. Cardiol. 63: 32C-35C, 1989.
36. Sorek, S., J. Bear, and Z. Karni. Resistances and compliances of a compartmental model of the cerebrovascular system. Ann. Biomed. Eng. 17: 1-12, 1989.
37. Tomita, M. Significance of cerebral blood volume. In: Cerebral Hyperemia and Ischemia: From the Standpoint of Cerebral Blood Volume, edited by M. Tomita, T. Sawada, H. Naritomi, and W. D. Heiss. Amsterdam: Excerpta Medica, 1988, p. 3-31.
38. Ursino, M. A mathematical study of human intracranial hydrodynamics. 1. The cerebrospinal fluid pulse pressure. Ann. Biomed. Eng. 16: 379-402, 1988.
39. Ursino, M. A mathematical study of human intracranial hydrodynamics. 2. Simulation of clinical tests. Ann. Biomed. Eng. 16: 403-416, 1988.
40. Ursino, M., and P. Di Giammarco. A mathematical model of the relationship between cerebral blood volume and intracranial pressure changes: the generation of plateau waves. Ann. Biomed. Eng. 19: 15-42, 1991.
41. Ursino, M., M. Iezzi, and N. Stocchetti. Intracranial pressure dynamics in patients with acute brain damage: a critical analysis with the aid of a mathematical model. IEEE Trans. Biomed. Eng. 42: 529-540, 1995.
42. Ursino, M., C. A. Lodi, S. Rossi, and N. Stocchetti. Intracranial pressure dynamics in patients with acute brain damage. J. Appl. Physiol. 82: 1270-1282, 1997.