An electrical network model of intracranial arteriovenous malformations: Analysis of variations in hemodynamic and biophysical parameters

Neurological Research

Volumn 18, Issue 6, 1996, Pages 575-589

  Hademenos, George J ^a   Massoud, Tarik F ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cerebral arteriovenous malformation; hemodynamics; intracerebral hemorrhage; models; theoretical

Indexed keywords

ARTERIOVENOUS MALFORMATION; ARTICLE; BRAIN BLOOD FLOW; BRAIN HEMORRHAGE; CORRELATION FUNCTION; HEMODYNAMICS; NERVE CELL NETWORK;

EID: 0030474688     PISSN: 01616412     EISSN: None     Source Type: Journal    
DOI: 10.1080/01616412.1996.11740474     Document Type: Article

References (36)

1. Wilkins RH. Natural history of intracranial vascular malformations: A review. Neurosurgery 1985; 16: 421-430
2. Graves VB, Duff TA. Intracranial arteriovenous malformations: Current imaging and treatment. Invest Radiol 1990; 25: 952-960
3. Ornstein E, Blesser WB, Young WL, Pile-Spellman J. A computer simulation of the haemodynamic effects of intracranial arteriovenous malformation occlusion. Neurol Res 1994; 16: 345-352
4. Hecht ST, Horton JA, Kerber CW Hemodynamics of the central nervous system arteriovenous malformation nidus during particulate embolization: A computer model. Neuroradiology 1991; 33: 62-64
5. Lo EH. A hemodynamic analysis of intracranial arteriovenous malformations. Neurol Res 1993; 15: 51-55
6. Lo EH. A theoretical analysis of hemodynamics and biomechanical alterations in intracranial AVMs after radiosurgery. Int J Radiat Oncol Biol Phys 1993; 27: 353-361
7. Lo EH, Fabrikant JI, Levy RP, Philips MH, Frankel KA, Alpen EL. An experimental compartmental flow model for assessing the hemodynamic response of intracranial arteriovenous malformations to stereotactic radiosurgery. Neurosurgery 1991; 28: 251-259
8. Hademenos GJ, Massoud TF. A biomathematical model of intracranial arteriovenous malformations based on electrical network analysis: Theory and hemodynamics. Neurosurgery 1996; 38: 1005-1015
9. Young WL, Kader A, Pile-Spellman J, Ornstein E, Stein BM, Columbia University AVM Study Project. Arteriovenous malformation draining vein physiology and determinants of transnidal pressure gradients. Neurosurgery 1994; 35: 389-396
10. Pertuiset B, Ancri D, Clergue F. Preoperative evaluation of hemodynamic factors in cerebral arteriovenous malformations for selection of a radical surgery tactic with special reference to vascular autoregulation disorders Neurol Res 1982; 4. 209-233
11. Yamada S, Brauer FS, Knierim DS. Direct approach to arteriovenous malformations in functional areas of the cerebral hemisphere. J Neurosurg 1990; 72: 418-425
12. Yasargil MC. Surgical concerns. In: Yasargil MG, ed. Microneurosurgery. Vol III, Stuttgart/New York: Georg Thieme Verlag, 1988: pp. 25-53
13. Hamby WB. The pathology of supratentorial angiomas. J Neurosurg 1957, 22: 65-75
14. Nornes H, Grip A. Hemodynamic aspects of cerebral arteriovenous malformations. J Neurosurg 1980; 53: 456-464
15. Nornes H, Grip A, Wikeby P. Intraoperative evaluation of cerebral hemodynamics using directional Doppler technique. Part 1: Arteriovenous malformations. J Neurosurg 1979; 50: 145-151
16. Hassler W, Steinmetz H Cerebral hemodynamics in angioma patients: An intraoperative study. J Neurosurg 1987; 67: 822-831
17. Hassler W. Hemodynamic aspects of cerebral angiograms. Acta Neurochir Suppl 1986; 37: 1-136
18. Leblanc R, Little JR. Hemodynamics of arteriovenous malformations. Clin Neurosurg 1988; 36: 299-317
19. Fletcher JE. Mathematical modeling of the microcirculation. Math Biosci 1978; 38: 159-202
20. Gross JF, Intaglietta M, Zweifach BW. Network model of pulsatile hemodynamics in the microcirculation of the rabbit omentum. Am J Physiol 1974; 226: 1117-1123
21. Gross JF, Aroesty J. Mathematical models of capillary flow: A critical review. Biorheology 1992; 9: 225-264
22. Lee J-S, Skalak TC, eds. Microvascular Mechanics: Hemodynamics of Systemic and Pulmonary Microcirculation. New York: Springer-Verlag, 1989
23. Popel AS, Johnson PC, eds. Microvascular Networks: Experimental and Theoretical Studies. New York: Karger, 1986.
24. Halliday D, Resnick R. Fundamentals of Physics, 2nd Edn., New York: John Wiley, 1981: Ch 29
25. Hademenos GJ, Massoud TF. Risk of intracranial arteriovenous malformation rupture due to venous drainage impairment: A theoretical analysis. Stroke 1996; 27: 1072-1083
26. Szabo MD, Crosby G, Sundaram P, Dodson BA, Kjellberg RN. Hypertension does not cause spontaneous hemorrhage of intracranial arteriovenous malformations. Anesthesiology 1989; 70: 761-763
27. Spetzler RF, Hargraves RW, McCormick PW, Zabramski JM, Flom RA, Zimmerman RS. Relationship of perfusion pressure and size to risk of hemorrhage from arteriovenous malformations, J Neurosurg 1992; 76: 918-923
28. Spetzler RF, Martin NA, Carter LP, Flom RA, Raudzens PA, Wilkinson E. Surgical management of large AVMs by staged embolization and operative excision. J Neurosurg 1987; 67: 17-28
29. Isoda K, Fukuda H, Takamura N, et al. Arteriovenous malformation of the brain: Histological study and measurement of abnormal vessels. Acta Pathol Jpn 1981; 31: 883-893
30. Stein BM. Preoperative balloon occlusion of arteriovenous malformations [Comment] Neurosurgery 1988; 22: 307-308 Comment on Neurosurgery 1988; 22: 301-308
31. Stein BM. Preoperative balloon occlusion of arteriovenous malformations [Comment] Neurosurgery 1988; 22: 307-308 Comment on Neurosurgery 1988; 22: 301-308
32. Yamada S, Thio S, Iacono RP, Yamada BS, Brauer FS, Hayward W, Morgese VJ, Moghtader M. Total blood flow to arteriovenous malformations. Neurol Res 1993; 15: 379-383
33. Kader A, Young WL, Pile-Spellman J, Mast H, Sciacca RR, Mohr JP, Stein BM. The Columbia University AVM Study Project. The influence of hemodynamic and anatomic factors on hemorrhage from cerebral arteriovenous malformations. Neurosurgery 1994; 34: 801-808
34. White RJ, Fitzjerrell DG, Croston RC. Fundamentals of lumped compartmental modelling of the cardiovascular system. Adv Cardiovasc Phys 1983; 5: 162-184
35. Young WL, Pile-Spellman J, Prohovnik I, Kader A, Stein BM. The Columbia University AVM Study Project. Evidence for adaptive autoregulatory displacement in hypotensive cortical territories adjacent to arteriovenous malformations. Neurosurgery 1994; 34: 601-611
36. Dacey RG Jr. A biomathematical model of intracranial arteriovenous malformations based on network analysis: Theory and hemodynamics [Comment]. Neurosurgery 1996; 38: 1005-1015