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Volumn 59, Issue 6, 2009, Pages 729-759

A mathematical model of blood, cerebrospinal fluid and brain dynamics

Author keywords

Cerebrospinal fluid; Communicating hydrocephalus; Computational fluid dynamics; Intracranial pressure; Mathematical modeling

Indexed keywords

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BLOOD PRESSURE; BRAIN; BRAIN CIRCULATION; CEREBROSPINAL FLUID; COMPUTER SIMULATION; FLOW KINETICS; HEMODYNAMICS; HUMAN; HYDROCEPHALUS; INTRACRANIAL PRESSURE; NUCLEAR MAGNETIC RESONANCE IMAGING; PATHOPHYSIOLOGY; PHYSIOLOGY; SPINAL CORD;

EID: 70350651299     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-009-0250-2     Document Type: Article
Times cited : (122)

References (48)
  • 1
    • 0034951649 scopus 로고    scopus 로고
    • Cerebrospinal fluid dynamics and relation with blood flow: A magnetic resonance study with semiautomated cerebrospinal fluid segmentation
    • Baledent O, Henry-Feugeas MC, Idy-Peretti I (2001) Cerebrospinal fluid dynamics and relation with blood flow: a magnetic resonance study with semiautomated cerebrospinal fluid segmentation. Invest Radiol 36: 368.
    • (2001) Invest Radiol , vol.36 , pp. 368
    • Baledent, O.1    Henry-Feugeas, M.C.2    Idy-Peretti, I.3
  • 2
    • 0001092444 scopus 로고
    • Circulation of the cerebrospinal fluid
    • Bering EA (1962) Circulation of the cerebrospinal fluid. J Neurosurg 19: 405.
    • (1962) J Neurosurg , vol.19 , pp. 405
    • Bering, E.A.1
  • 3
    • 30344447722 scopus 로고    scopus 로고
    • The origins of syringomyelia: Numerical models of fluid/structure interactions in the spinal cord
    • Bertram CD, Brodbelt AR, Stoodley MA (2005) The origins of syringomyelia: numerical models of fluid/structure interactions in the spinal cord. J Biomed Eng 127: 1099.
    • (2005) J Biomed Eng , vol.127 , pp. 1099
    • Bertram, C.D.1    Brodbelt, A.R.2    Stoodley, M.A.3
  • 4
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12: 155.
    • (1941) J Appl Phys , vol.12 , pp. 155
    • Biot, M.A.1
  • 5
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic solid
    • Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26(2): 182.
    • (1955) J Appl Phys , vol.26 , Issue.2 , pp. 182
    • Biot, M.A.1
  • 6
    • 9344226762 scopus 로고    scopus 로고
    • Molecular mechanisms of cerebrospinal fluid production
    • Brown P, Davies S, Speake T, Millar I (2004) Molecular mechanisms of cerebrospinal fluid production. Neuroscience 129: 957.
    • (2004) Neuroscience , vol.129 , pp. 957
    • Brown, P.1    Davies, S.2    Speake, T.3    Millar, I.4
  • 7
    • 0036313061 scopus 로고    scopus 로고
    • Laboratory testing of hydrocephalus shunts-Conclusion of the UK shunt evaluation programme
    • Czosnyka Z, Czosnyka M, Richards HK, Pickard JD (2002) Laboratory testing of hydrocephalus shunts-Conclusion of the UK shunt evaluation programme. Acta Neurochir 144(6): 525.
    • (2002) Acta Neurochir , vol.144 , Issue.6 , pp. 525
    • Czosnyka, Z.1    Czosnyka, M.2    Richards, H.K.3    Pickard, J.D.4
  • 11
    • 0023925357 scopus 로고
    • Changes in periventricular vasculature of rabbit brain following induction of hydrocephalus and after shunting
    • DelBigio MR, Bruni JE (1988) Changes in periventricular vasculature of rabbit brain following induction of hydrocephalus and after shunting. J Neurosurg 69: 115.
    • (1988) J Neurosurg , vol.69 , pp. 115
    • DelBigio, M.R.1    Bruni, J.E.2
  • 15
    • 0345552461 scopus 로고
    • Pathophysiology of cerebrospinal fluid circulation
    • A. Crockard, A. Hayward, and J. Hoff (Eds.), Cambridge: Blackwell Scientific
    • Gjerris F, Borgensen SE (1992) Pathophysiology of cerebrospinal fluid circulation. In: Crockard A, Hayward A, Hoff J (eds) Neurosurgery: the scientific basis of clinical practice. Blackwell Scientific, Cambridge, pp 147-168.
    • (1992) Neurosurgery: The Scientific Basis of Clinical Practice , pp. 147-168
    • Gjerris, F.1    Borgensen, S.E.2
  • 16
    • 0347415223 scopus 로고
    • Arterial assessment by Doppler-shift ultrasound
    • Gosling RG, King DH (1974) Arterial assessment by Doppler-shift ultrasound. Proc R Soc Med 67: 447.
    • (1974) Proc R Soc Med , vol.67 , pp. 447
    • Gosling, R.G.1    King, D.H.2
  • 17
    • 0028435459 scopus 로고
    • MR imaging of cerebrospinal fluid dynamics in health and disease. On the vascular pathogenesis of communicating hydrocephalus and benign intracranial hypertension
    • Greitz D, Hannerz J, Rahn T, Bolander H, Ericsson A (1994) MR imaging of cerebrospinal fluid dynamics in health and disease. On the vascular pathogenesis of communicating hydrocephalus and benign intracranial hypertension. Acta Radiol 35(3): 204.
    • (1994) Acta Radiol , vol.35 , Issue.3 , pp. 204
    • Greitz, D.1    Hannerz, J.2    Rahn, T.3    Bolander, H.4    Ericsson, A.5
  • 18
    • 0017290298 scopus 로고
    • The physics of the cranial cavity, hydrocephalus and normal pressure hydrocephalus: Mechanical interpretation and mathematical model
    • Hakim S, Venegas JG, Burton JD (1976) The physics of the cranial cavity, hydrocephalus and normal pressure hydrocephalus: mechanical interpretation and mathematical model. Surg Neurol 5: 187.
    • (1976) Surg Neurol , vol.5 , pp. 187
    • Hakim, S.1    Venegas, J.G.2    Burton, J.D.3
  • 19
    • 0031104872 scopus 로고    scopus 로고
    • The hydromechanics of hydrocephalus: Steady-state solutions for cylindrical geometry
    • Kaczmarek M, Subramaniam RP, Neff SR (1997) The hydromechanics of hydrocephalus: Steady-state solutions for cylindrical geometry. Bull Math Biol 59(2): 295.
    • (1997) Bull Math Biol , vol.59 , Issue.2 , pp. 295
    • Kaczmarek, M.1    Subramaniam, R.P.2    Neff, S.R.3
  • 20
    • 34248661287 scopus 로고    scopus 로고
    • Prediction of the jugular venous waveform using a model of CSF dynamics
    • Kim J, Thacker NA, Bromiley PA, Jackson A (2007) Prediction of the jugular venous waveform using a model of CSF dynamics. Am J Neuroradiol 28: 983.
    • (2007) Am J Neuroradiol , vol.28 , pp. 983
    • Kim, J.1    Thacker, N.A.2    Bromiley, P.A.3    Jackson, A.4
  • 21
    • 4243276840 scopus 로고
    • Measurement of resistance to outflow: The bolus injection method
    • Gjerris F, Borgesen SE, Sorensen PS (eds)
    • Kosteljanetz M (1989) Measurement of resistance to outflow: the bolus injection method. In: Gjerris F, Borgesen SE, Sorensen PS (eds) Proceedings Outflow of cerebrospinal fluid, pp 134-143.
    • (1989) Proceedings Outflow of Cerebrospinal Fluid , pp. 134-143
    • Kosteljanetz, M.1
  • 22
    • 0642364456 scopus 로고    scopus 로고
    • A whole-body mathematical model for intracranial pressure dynamics
    • Lakin WD, Stevens SA, Tranmer BI, Penar PL (2003) A whole-body mathematical model for intracranial pressure dynamics. J Math Biol 46(4): 347.
    • (2003) J Math Biol , vol.46 , Issue.4 , pp. 347
    • Lakin, W.D.1    Stevens, S.A.2    Tranmer, B.I.3    Penar, P.L.4
  • 25
    • 0035089444 scopus 로고    scopus 로고
    • Hydrodynamic modeling of cerebrospinal fluid motion within the spinal cavity
    • Loth F, Yardimci AM, Alperin N (2001) Hydrodynamic modeling of cerebrospinal fluid motion within the spinal cavity. J Biomech Eng 123(1): 71.
    • (2001) J Biomech Eng , vol.123 , Issue.1 , pp. 71
    • Loth, F.1    Yardimci, A.M.2    Alperin, N.3
  • 26
    • 0032075062 scopus 로고    scopus 로고
    • The effects of wall inertia on flow in a two-dimensional collapsible channel
    • Luo XY, Pedley TJ (1998) The effects of wall inertia on flow in a two-dimensional collapsible channel. J Fluid Mech 363: 253.
    • (1998) J Fluid Mech , vol.363 , pp. 253
    • Luo, X.Y.1    Pedley, T.J.2
  • 28
    • 0017894233 scopus 로고
    • A nonlinear analysis of the cerebrospinal fluid system and intracranial pressure dynamics
    • Marmarou A, Shulman K, Rosende RM (1978) A nonlinear analysis of the cerebrospinal fluid system and intracranial pressure dynamics. J Neurosurg 48: 332.
    • (1978) J Neurosurg , vol.48 , pp. 332
    • Marmarou, A.1    Shulman, K.2    Rosende, R.M.3
  • 31
    • 0026182092 scopus 로고
    • Encoding strategies for three-direction phase-contrast MR imaging of flow
    • Pelc NJ, Bernstein MA, Shimakawa A, Glover GH (1991) Encoding strategies for three-direction phase-contrast MR imaging of flow. J Magn Reson Imaging 1(4): 405.
    • (1991) J Magn Reson Imaging , vol.1 , Issue.4 , pp. 405
    • Pelc, N.J.1    Bernstein, M.A.2    Shimakawa, A.3    Glover, G.H.4
  • 32
    • 16444381390 scopus 로고    scopus 로고
    • Pressure Gradients in the Brain in an experimental model of hydrocephalus
    • Penn RD, Lee MC, Linninger AA, Miesel K, Lu SN, Stylos L (2005) Pressure Gradients in the Brain in an experimental model of hydrocephalus. J Neurosurg 102(6): 1069.
    • (2005) J Neurosurg , vol.102 , Issue.6 , pp. 1069
    • Penn, R.D.1    Lee, M.C.2    Linninger, A.A.3    Miesel, K.4    Lu, S.N.5    Stylos, L.6
  • 33
    • 0036179395 scopus 로고    scopus 로고
    • Noninvasive continuous monitoring of the effect of head position on brain hemodynamics in ventilated infants
    • Pellicer A, Gaya F, Madero R, Quero J, Cabanas F (2006) Noninvasive continuous monitoring of the effect of head position on brain hemodynamics in ventilated infants. Pediatrics 109(3): 434.
    • (2006) Pediatrics , vol.109 , Issue.3 , pp. 434
    • Pellicer, A.1    Gaya, F.2    Madero, R.3    Quero, J.4    Cabanas, F.5
  • 34
    • 0035125470 scopus 로고    scopus 로고
    • A Model of the Cerebral and Cerebrospinal Fluid Circulations to Examine Asymmetry in Cerebrovascular Reactivity
    • Piechnik SK, Czosnyka M, Harris NG, Minhas PS, Pickard JD (2001) A Model of the Cerebral and Cerebrospinal Fluid Circulations to Examine Asymmetry in Cerebrovascular Reactivity. J Cereb Blood Flow Metab 21: 182.
    • (2001) J Cereb Blood Flow Metab , vol.21 , pp. 182
    • Piechnik, S.K.1    Czosnyka, M.2    Harris, N.G.3    Minhas, P.S.4    Pickard, J.D.5
  • 35
    • 32044470365 scopus 로고    scopus 로고
    • Noninvasive intracranial compliance and pressure based on dynamic magnetic resonance imaging of blood flow and cerebrospinal fluid flow: Review of principles, implementation, and other noninvasive approaches
    • Raksin PB, Alperin N, Sivaramakrishnan A, Surapaneni S, Lichtor T (2003) Noninvasive intracranial compliance and pressure based on dynamic magnetic resonance imaging of blood flow and cerebrospinal fluid flow: review of principles, implementation, and other noninvasive approaches. Neurosurg Focus 14(4): 1.
    • (2003) Neurosurg Focus , vol.14 , Issue.4 , pp. 1
    • Raksin, P.B.1    Alperin, N.2    Sivaramakrishnan, A.3    Surapaneni, S.4    Lichtor, T.5
  • 36
    • 0035151718 scopus 로고    scopus 로고
    • Transport of nutrients across the choroid plexus
    • Segal M (2001) Transport of nutrients across the choroid plexus. Microsc Res Tech 52: 38.
    • (2001) Microsc Res Tech , vol.52 , pp. 38
    • Segal, M.1
  • 37
    • 33644609166 scopus 로고    scopus 로고
    • A hydroelastic model of hydrocephalus
    • Smillie A, Sobey I, Molnar Z (2005) A hydroelastic model of hydrocephalus. J Fluid Mech 539: 417.
    • (2005) J Fluid Mech , vol.539 , pp. 417
    • Smillie, A.1    Sobey, I.2    Molnar, Z.3
  • 38
    • 0023813434 scopus 로고
    • A non-steady compartmental flow model of the cerebrovascular system
    • Sorek S, Bear J, Karni Z (1988a) A non-steady compartmental flow model of the cerebrovascular system. J Biomech 21(9): 695.
    • (1988) J Biomech , vol.21 , Issue.9 , pp. 695
    • Sorek, S.1    Bear, J.2    Karni, Z.3
  • 39
    • 0024017488 scopus 로고
    • Can NPH be caused by cerebral small vessel disease? A new look based on a mathematical model
    • Sorek S, Feinsod M, Bear J (1988b) Can NPH be caused by cerebral small vessel disease? A new look based on a mathematical model. Med Biol Eng Comput 26(3): 310.
    • (1988) Med Biol Eng Comput , vol.26 , Issue.3 , pp. 310
    • Sorek, S.1    Feinsod, M.2    Bear, J.3
  • 40
    • 0024471191 scopus 로고
    • Resistances and compliances of a compartmental model of the cerebrovascular system
    • Sorek S, Bear J, Karni Z (1989) Resistances and compliances of a compartmental model of the cerebrovascular system. Ann Biomed Eng 17(1): 1.
    • (1989) Ann Biomed Eng , vol.17 , Issue.1 , pp. 1
    • Sorek, S.1    Bear, J.2    Karni, Z.3
  • 41
    • 84944484760 scopus 로고
    • On the absorption of fluids from the connective tissue spaces
    • Starling EH (1896) On the absorption of fluids from the connective tissue spaces. J Physiol 19: 312.
    • (1896) J Physiol , vol.19 , pp. 312
    • Starling, E.H.1
  • 42
    • 0034524989 scopus 로고    scopus 로고
    • Mean pressures and flows in the human intracranial system, determined by mathematical simulations of a steady-state infusion test
    • Stevens S (2000) Mean pressures and flows in the human intracranial system, determined by mathematical simulations of a steady-state infusion test. Neurol Res 22(8): 809.
    • (2000) Neurol Res , vol.22 , Issue.8 , pp. 809
    • Stevens, S.1
  • 44
    • 0030984266 scopus 로고    scopus 로고
    • A simple mathematical model of the interaction between intracranial pressure and cerebral hemodynamics
    • Ursino M, Lodi CA (1997) A simple mathematical model of the interaction between intracranial pressure and cerebral hemodynamics. J Appl Physiol 82(4): 1256.
    • (1997) J Appl Physiol , vol.82 , Issue.4 , pp. 1256
    • Ursino, M.1    Lodi, C.A.2
  • 45
    • 0038797778 scopus 로고    scopus 로고
    • Mathematical model for the viscoelastic properties of dura mater
    • Wilcox RK, Bilston LE, Barton DC, Hall RM (2003) Mathematical model for the viscoelastic properties of dura mater. J Orthop Sci 8: 432.
    • (2003) J Orthop Sci , vol.8 , pp. 432
    • Wilcox, R.K.1    Bilston, L.E.2    Barton, D.C.3    Hall, R.M.4
  • 46
    • 0022912851 scopus 로고
    • A global mathematical model of the cerebral circulation in man
    • Zagzoule M, Marc-Vergnes J (1986) A global mathematical model of the cerebral circulation in man. J Biomech 19(12): 1015.
    • (1986) J Biomech , vol.19 , Issue.12 , pp. 1015
    • Zagzoule, M.1    Marc-Vergnes, J.2
  • 47
    • 33846860830 scopus 로고    scopus 로고
    • Discovery of transport and reaction properties in distributed systems
    • Zhang L, Kulkarni K, Somayaji MR, Xenos M, Linninger AA (2007) Discovery of transport and reaction properties in distributed systems. AIChE J 53(2): 381.
    • (2007) AIChE J , vol.53 , Issue.2 , pp. 381
    • Zhang, L.1    Kulkarni, K.2    Somayaji, M.R.3    Xenos, M.4    Linninger, A.A.5
  • 48
    • 33749607760 scopus 로고    scopus 로고
    • Dynamics of lateral ventricle and cerebrospinal fluid in normal and hydrocephalic brains
    • Zhu DC, Xenos M, Linninger AA, Penn RD (2006) Dynamics of lateral ventricle and cerebrospinal fluid in normal and hydrocephalic brains. J Magn Reson Imaging 24(4): 756.
    • (2006) J Magn Reson Imaging , vol.24 , Issue.4 , pp. 756
    • Zhu, D.C.1    Xenos, M.2    Linninger, A.A.3    Penn, R.D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.