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Volumn 18, Issue 8, 2015, Pages 861-879

Multi-component modelling of human brain tissue: a contribution to the constitutive and computational description of deformation, flow and diffusion processes with application to the invasive drug-delivery problem

Author keywords

anisotropy; brain tissue; extra vascular drug infusion; finite deformations; multi component modelling; Theory of Porous Media

Indexed keywords

AGGREGATES; ANISOTROPY; BLOOD VESSELS; BRAIN; COMPUTATION THEORY; CONTINUUM MECHANICS; CONTROLLED DRUG DELIVERY; DEFORMATION; DIFFUSION IN LIQUIDS; DRUG INFUSION; FINITE ELEMENT METHOD; LIQUIDS; MEDICAL IMAGING; POROUS MATERIALS; TARGETED DRUG DELIVERY;

EID: 84912076617     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2013.853754     Document Type: Article
Times cited : (52)

References (42)
  • 2
    • 0028398052 scopus 로고
    • Estimation of effective self-diffusion tensor from the NMR spin-echo
    • BasserPJ, MattieloJ, LebihanD. 1994. Estimation of effective self-diffusion tensor from the NMR spin-echo. J Magn Reson. 103(3):247–254.
    • (1994) J Magn Reson , vol.103 , Issue.3 , pp. 247-254
    • Basser, P.J.1    Mattielo, J.2    Lebihan, D.3
  • 3
    • 0024584819 scopus 로고
    • Transport of fluid and macromolecules in tumors: I. Role of interstitial pressure and convection
    • BaxterLT, JainRK. 1989. Transport of fluid and macromolecules in tumors: I. Role of interstitial pressure and convection. Microvasc Res. 37(1):77–104.
    • (1989) Microvasc Res , vol.37 , Issue.1 , pp. 77-104
    • Baxter, L.T.1    Jain, R.K.2
  • 5
    • 0002004386 scopus 로고
    • Theory of mixtures
    • Eringen AC, (ed), New York: Academic Press
    • BowenRM. 1976. Theory of mixtures. In: EringenAC, editor. Continuum physics. Vol. III. New York: Academic Press. p. 1–127.
    • (1976) Continuum physics , pp. 1-127
    • Bowen, R.M.1
  • 7
    • 36448945807 scopus 로고    scopus 로고
    • Biphasic finite element model of solute transport for direct infusion into nervous tissue
    • ChenX, SarntinoranontM. 2007. Biphasic finite element model of solute transport for direct infusion into nervous tissue. Ann Biomed Eng. 35(12):2145–2158.
    • (2007) Ann Biomed Eng , vol.35 , Issue.12 , pp. 2145-2158
    • Chen, X.1    Sarntinoranont, M.2
  • 8
    • 52649168962 scopus 로고    scopus 로고
    • Biomechanical modelling of normal pressure hydrocephalus
    • Dutta-RoyT, WittekA, MillerK. 2008. Biomechanical modelling of normal pressure hydrocephalus. J Biomech. 41(10):2263–2271.
    • (2008) J Biomech , vol.41 , Issue.10 , pp. 2263-2271
    • Dutta-Roy, T.1    Wittek, A.2    Miller, K.3
  • 9
    • 0142036606 scopus 로고    scopus 로고
    • Foundations of multiphasic and porous materials
    • Ehlers W, Bluhm J, (eds), Berlin: Springer-Verlag
    • EhlersW. 2002. Foundations of multiphasic and porous materials. In: EhlersW, BluhmJ, editors. Porous media: theory, experiments and numerical applications. Berlin: Springer-Verlag. p. 3–86.
    • (2002) Porous media: theory, experiments and numerical applications , pp. 3-86
    • Ehlers, W.1
  • 10
    • 79957917164 scopus 로고    scopus 로고
    • Challenges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels
    • EhlersW. 2009. Challenges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels. Int J Adv Eng Sci Appl Math. 1(1):1–24.
    • (2009) Int J Adv Eng Sci Appl Math , vol.1 , Issue.1 , pp. 1-24
    • Ehlers, W.1
  • 11
    • 0032321884 scopus 로고    scopus 로고
    • Finite elastic deformations in liquid-saturated and empty porous solids
    • EhlersW, EipperG. 1999. Finite elastic deformations in liquid-saturated and empty porous solids. Transp Porous Media. 34(1–3):179–191.
    • (1999) Transp Porous Media , vol.34 , Issue.1-3 , pp. 179-191
    • Ehlers, W.1    Eipper, G.2
  • 13
    • 0037411448 scopus 로고    scopus 로고
    • A macroscopic finite strain model for cellular polymers
    • EhlersW, MarkertB. 2003. A macroscopic finite strain model for cellular polymers. Int J Plasticity. 19(7):961–976.
    • (2003) Int J Plasticity , vol.19 , Issue.7 , pp. 961-976
    • Ehlers, W.1    Markert, B.2
  • 14
    • 84924936757 scopus 로고    scopus 로고
    • Constitutive and computational aspects in tumor therapies of multiphasic brain tissue
    • Holzapfel GA, Kuhl E, (eds), Dordrecht: Springer
    • EhlersW, WagnerA. 2013. Constitutive and computational aspects in tumor therapies of multiphasic brain tissue. In: HolzapfelGA, KuhlE, editors. Computer models in biomechanics: from nano to macro. Dordrecht: Springer. p. 263–276.
    • (2013) Computer models in biomechanics: from nano to macro , pp. 263-276
    • Ehlers, W.1    Wagner, A.2
  • 15
    • 84876811398 scopus 로고    scopus 로고
    • Stability analysis of finite difference schemes revisited: a study of decoupled solution strategies for coupled multifield problems
    • EhlersW, ZinatbakhshS, MarkertB. 2013. Stability analysis of finite difference schemes revisited: a study of decoupled solution strategies for coupled multifield problems. Int J Numer Methods Eng. 94:758–786.
    • (2013) Int J Numer Methods Eng , vol.94 , pp. 758-786
    • Ehlers, W.1    Zinatbakhsh, S.2    Markert, B.3
  • 17
    • 33750010158 scopus 로고    scopus 로고
    • Brain tissue deforms similarly to filled elastomers and follows consolidation theory
    • FranceschiniG, BigoniD, RegitnigP, HolzapfelGA. 2006. Brain tissue deforms similarly to filled elastomers and follows consolidation theory. J Mech Phys Solids. 54(12):2592–2620.
    • (2006) J Mech Phys Solids , vol.54 , Issue.12 , pp. 2592-2620
    • Franceschini, G.1    Bigoni, D.2    Regitnig, P.3    Holzapfel, G.A.4
  • 18
    • 0033975967 scopus 로고    scopus 로고
    • Comparison of cytosine arabinoside delivery to rat brain by intraveneous, intrathecal, intraventricular and intraparenchymal routes of administration
    • GroothuisDR, BenalcazarH, AllenCV. 2000. Comparison of cytosine arabinoside delivery to rat brain by intraveneous, intrathecal, intraventricular and intraparenchymal routes of administration. Brain Res. 856(1):281–290.
    • (2000) Brain Res , vol.856 , Issue.1 , pp. 281-290
    • Groothuis, D.R.1    Benalcazar, H.2    Allen, C.V.3
  • 19
    • 0013785967 scopus 로고
    • The special clinical problem of symptomatic hydrocephalus with normal cerebrospinal fluid pressure – observations on cerebrospinal fluid hydrodynamics
    • HakimS, AdamsRD. 1965. The special clinical problem of symptomatic hydrocephalus with normal cerebrospinal fluid pressure – observations on cerebrospinal fluid hydrodynamics. J Neurol Sci. 2(4):307–327.
    • (1965) J Neurol Sci , vol.2 , Issue.4 , pp. 307-327
    • Hakim, S.1    Adams, R.D.2
  • 20
    • 0031104872 scopus 로고    scopus 로고
    • The hydromechanics of hydrocephalus: steady-state solutions for cylindrical geometry
    • KaczmarekM, SubramaniamRP, NeffSR. 1997. The hydromechanics of hydrocephalus: steady-state solutions for cylindrical geometry. Bull Math Biol. 59(2):295–323.
    • (1997) Bull Math Biol , vol.59 , Issue.2 , pp. 295-323
    • Kaczmarek, M.1    Subramaniam, R.P.2    Neff, S.R.3
  • 21
    • 16544381261 scopus 로고    scopus 로고
    • Distribution kinetics of targeted cytotoxin in glioma by bolus or convection-enhanced delivery in a murine model
    • KawakamiK, KawakamiM, KioiM. 2004. Distribution kinetics of targeted cytotoxin in glioma by bolus or convection-enhanced delivery in a murine model. J Neurosurg. 101(6):1004–1011.
    • (2004) J Neurosurg , vol.101 , Issue.6 , pp. 1004-1011
    • Kawakami, K.1    Kawakami, M.2    Kioi, M.3
  • 22
    • 77649234428 scopus 로고    scopus 로고
    • A voxelized model of direct infusion into the corpus callosum and hippocampus of the rat brain: model development and parameter analysis
    • KimJH, MareciTH, SarntinoranontM. 2010. A voxelized model of direct infusion into the corpus callosum and hippocampus of the rat brain: model development and parameter analysis. Med Biol Eng Comput. 48(3):203–214.
    • (2010) Med Biol Eng Comput , vol.48 , Issue.3 , pp. 203-214
    • Kim, J.H.1    Mareci, T.H.2    Sarntinoranont, M.3
  • 23
    • 36349009315 scopus 로고    scopus 로고
    • Prediction of convection-enhanced drug delivery to the human brain
    • LinningerAA, SomayajiMR, MekarskM, ZhangL. 2008. Prediction of convection-enhanced drug delivery to the human brain. J Theor Biol. 250(1):125–138.
    • (2008) J Theor Biol , vol.250 , Issue.1 , pp. 125-138
    • Linninger, A.A.1    Somayaji, M.R.2    Mekarsk, M.3    Zhang, L.4
  • 25
    • 38349180830 scopus 로고    scopus 로고
    • A constitutive approach to 3-d nonlinear fluid flow through finite deformable porous continua
    • MarkertB. 2007. A constitutive approach to 3-d nonlinear fluid flow through finite deformable porous continua. Transp Porous Media. 70(3):427–450.
    • (2007) Transp Porous Media , vol.70 , Issue.3 , pp. 427-450
    • Markert, B.1
  • 26
    • 33745750679 scopus 로고    scopus 로고
    • A general polyconvex strain-energy function for fiber-reinforced materials
    • MarkertB, EhlersW, KarajanN. 2005. A general polyconvex strain-energy function for fiber-reinforced materials. Proc Appl Math Mech. 5(1):245–246.
    • (2005) Proc Appl Math Mech , vol.5 , Issue.1 , pp. 245-246
    • Markert, B.1    Ehlers, W.2    Karajan, N.3
  • 27
    • 77951980860 scopus 로고    scopus 로고
    • Comparison of monolithic and splitting solution schemes for dynamic porous media problems
    • MarkertB, HeiderY, EhlersW. 2010. Comparison of monolithic and splitting solution schemes for dynamic porous media problems. Int J Numer Methods Eng. 82:1341–1383.
    • (2010) Int J Numer Methods Eng , vol.82 , pp. 1341-1383
    • Markert, B.1    Heider, Y.2    Ehlers, W.3
  • 30
    • 0029975193 scopus 로고    scopus 로고
    • Physiologic-based strategies for protein drug delivery to the brain
    • PardridgeWM. 1996. Physiologic-based strategies for protein drug delivery to the brain. J Control Release. 39(2):281–286.
    • (1996) J Control Release , vol.39 , Issue.2 , pp. 281-286
    • Pardridge, W.M.1
  • 31
    • 33748781724 scopus 로고    scopus 로고
    • Computational model of interstitial transport in the spinal cord using diffusion tensor imaging
    • SarntinoranontM, ChenX, ZhaoJ, MareciTM. 2006. Computational model of interstitial transport in the spinal cord using diffusion tensor imaging. Ann Biomed Eng. 34(8):1304–1321.
    • (2006) Ann Biomed Eng , vol.34 , Issue.8 , pp. 1304-1321
    • Sarntinoranont, M.1    Chen, X.2    Zhao, J.3    Mareci, T.M.4
  • 33
    • 33846096513 scopus 로고    scopus 로고
    • Interstitial transport and transvascular fluid exchange during infusion into brain and tumor tissue
    • SmithJH, HumphreyJA. 2007. Interstitial transport and transvascular fluid exchange during infusion into brain and tumor tissue. Microvasc Res. 73(1):58–73.
    • (2007) Microvasc Res , vol.73 , Issue.1 , pp. 58-73
    • Smith, J.H.1    Humphrey, J.A.2
  • 34
    • 84857234956 scopus 로고    scopus 로고
    • Modeling concentration distribution and deformation during convection-enhanced drug delivery into brain tissue
    • StøverudKH, DarcisM, HelmigR, HassanizadehSM. 2011. Modeling concentration distribution and deformation during convection-enhanced drug delivery into brain tissue. Transp Porous Media. 92(1):119–143.
    • (2011) Transp Porous Media , vol.92 , Issue.1 , pp. 119-143
    • Støverud, K.H.1    Darcis, M.2    Helmig, R.3    Hassanizadeh, S.M.4
  • 36
    • 55949130305 scopus 로고    scopus 로고
    • Diffusion in brain extracellular space
    • SykováE, NicholsonC. 2008. Diffusion in brain extracellular space. Physiol Rev. 88(4):1277–1340.
    • (2008) Physiol Rev , vol.88 , Issue.4 , pp. 1277-1340
    • Syková, E.1    Nicholson, C.2
  • 37
    • 2942701824 scopus 로고    scopus 로고
    • Reassessment of brain elasticity for analysis of biomechanics of hydocephalus
    • TaylorZ, MillerK. 2004. Reassessment of brain elasticity for analysis of biomechanics of hydocephalus. J Biomech. 37(8):1263–1269.
    • (2004) J Biomech , vol.37 , Issue.8 , pp. 1263-1269
    • Taylor, Z.1    Miller, K.2
  • 38
  • 39
    • 0141870056 scopus 로고    scopus 로고
    • Imaging-guided convection-enhanced delivery and gene therapy of glioblastoma
    • VogesJ, ReszkaR, GossmannA, et al. 2003. Imaging-guided convection-enhanced delivery and gene therapy of glioblastoma. Ann Neurol. 54(4):479–487.
    • (2003) Ann Neurol , vol.54 , Issue.4 , pp. 479-487
    • Voges, J.1    Reszka, R.2    Gossmann, A.3
  • 40
    • 83655179825 scopus 로고    scopus 로고
    • A porous media model to describe the behaviour of brain tissue
    • WagnerA, EhlersW. 2008. A porous media model to describe the behaviour of brain tissue. Proc Appl Math Mech. 8:10201–10202. 10.1002/pamm.200810201.
    • (2008) Proc Appl Math Mech , vol.8 , pp. 10201-10202
    • Wagner, A.1    Ehlers, W.2
  • 41
    • 84912070719 scopus 로고    scopus 로고
    • Continuum-mechanical analysis of human brain tissue
    • WagnerA, EhlersW. 2010. Continuum-mechanical analysis of human brain tissue. Proc Appl Math Mech. 10(1):99–100.
    • (2010) Proc Appl Math Mech , vol.10 , Issue.1 , pp. 99-100
    • Wagner, A.1    Ehlers, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.