2009
DOI: 10.1098/rsta.2009.0099
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Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones

Abstract: The governing equations for the theory of poroelastic materials with hierarchical pore space architecture and compressible constituents undergoing small deformations are developed. These equations are applied to the problem of determining the exchange of pore fluid between the vascular porosity (PV) and the lacunar-canalicular porosity (PLC) in bone tissue due to cyclic mechanical loading and blood pressure oscillations. The result is basic to the understanding of interstitial flow in bone tissue that, in turn… Show more

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Cited by 103 publications
(117 citation statements)
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“…However, the role of nanopores on the fluid flow within the bone has been largely overlooked, most likely because the description of fluid flow has been so far restricted to a double-porosity approach involving vasculature (Haversian system) and submicrometer pores of canalicular network [8,9]. In the framework of porous media theory, the bone interstitial fluid flow is macroscopically described by a Darcy law obtained by upscaling a description of the flow at the pore scale to the macroscopic scale organ [10,11].…”
Section: Introductionmentioning
confidence: 99%
“…However, the role of nanopores on the fluid flow within the bone has been largely overlooked, most likely because the description of fluid flow has been so far restricted to a double-porosity approach involving vasculature (Haversian system) and submicrometer pores of canalicular network [8,9]. In the framework of porous media theory, the bone interstitial fluid flow is macroscopically described by a Darcy law obtained by upscaling a description of the flow at the pore scale to the macroscopic scale organ [10,11].…”
Section: Introductionmentioning
confidence: 99%
“…It is commonly accepted that bone can be described by three main levels of porosity [23], which are nested hierarchically one inside another as a set of Russian dolls in microcirculatory pathways [24]. The macroscopic porous network corresponds to the vascular (or Haversian) porosity, which consists of the Havers and Volkmann canals (typical diameter of 50 µm).…”
Section: Introductionmentioning
confidence: 99%
“…For example, Hierarchial poroelasticity [Cowin et al, 2009] and Russian doll poroelasticity [Gailani and Cowin, 2011] are the terms attributed to the specific models which address the interstitial fluid exchange between vascular and lacunar-canalicular porosities of the bone tissue. Likewise, the multiple-network poroelasticity [Tully and Ventikos, 2011] describes complexities associated with the brain tissue's mechanical deformation, arising from fluid transport and exchange through four porosity networks.…”
Section: Introductionmentioning
confidence: 99%