Poroelastic or biphasic models have been used to study hydrocephalus  and the fluid transport that occurs during positive pressure infusion, also called convection enhanced delivery [2,3]. Each of the studies is limited by the assumption of linear elasticity of the solid phase. Nonlinear stress-strain curves under finite deformations have been documented for brain tissue under tension  and compression . The nonlinear variation of hydraulic conductivity with strain has also recently been taken into account [1,3] and this effect has been deemed to play an important role in both the mechanics of the tissue and the associated fluid transport.
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A Biphasic Hyperelastic Model for Analysis of Fluid Transport in Brain Tissue
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Smith, JH, & García, JJ. "A Biphasic Hyperelastic Model for Analysis of Fluid Transport in Brain Tissue." Proceedings of the ASME 2008 Summer Bioengineering Conference. ASME 2008 Summer Bioengineering Conference, Parts A and B. Marco Island, Florida, USA. June 25–29, 2008. pp. 161-162. ASME. https://doi.org/10.1115/SBC2008-192858
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