Analytical model for the prediction of permeability of triply periodic minimal surfaces

Asbai-Ghoudan, Reduan; Galarreta, Sergio Ruiz de; Rodríguez-Flórez, Naiara

doi:10.1016/j.jmbbm.2021.104804

Cited by 58 publications

(26 citation statements)

References 53 publications

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“…It is well-known from literature that a certain matrix stiffness encourages stem mesenchyme cells to differentiate into a particular lineage. For mesenchymal, neuropathic, myogenic, and osteogenic development, the ideal stiffness ranges are 10-50 Pa, 0.11-1 kPa, 7-17 kPa, and 25-40 kPa, respectively [27].…”

Section: Proposed Methodsmentioning

confidence: 99%

Implementation of triply periodic minimal surface (TPMS) structure in mesenchymal stem cell differentiation.

Khan

Kumar

2022

Preprint

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Tissue engineers have recently been interested in triply periodic minimum surfaces (TPMSs) for use in creating biomimetic porous scaffolds. Improved cell attachment, migration, and proliferation may be achieved with TPMS scaffolds because of its many benefits, such as a high volume to surface area ratio, reduced stress concentration, and enhanced permeability compared to conventional lattice architectures. Some of the crucial tissue-specific parameters, such permeability, Elastic modulus, and pore size, have been considered by the designers of various TPMS scaffolds described in the literature. These days, triply periodic minimum surface (TPMS) is seen as a leading option for building porous structures due to its smooth edges, fully integrated porous architectures, and mathematically adjustable geometry. Many benefits of TPMS, however, are not being properly used in ongoing studies. This study suggests the future direction of the TMPS in the perspective of the mesenchymal stem cell differentiation to overcome many shortcoming which was faced by the researchers.

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Section: Proposed Methodsmentioning

confidence: 99%

Implementation of triply periodic minimal surface (TPMS) structure in mesenchymal stem cell differentiation.

Khan

Kumar

2022

Preprint

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“…We use the Kozeny–Carman equation in some examples due to its widespread familiarity, but not as an endorsement of its universal accuracy. For a lattice, the permeability can be expected to have a weaker dependence on porosity at midrange porosities, and a quadratic dependence on the lattice parameter 7,41 . If an analyte binds only to the outer surface of the solid and cannot diffuse into it, a different version of Equation () would apply.…”

Section: Mathematical Model Formulationmentioning

confidence: 99%

“…For an additively manufactured lattice, tuning of unit cell size and pore volume fraction allows design of permeabilities over a theoretically wide range. [7][8][9][10][11] Additive manufacturing of polymer lattices by extrusion or photocuring allows for creation of lattices with designed flow characteristics, such as creating a desired pressure drop, 12 creating graded porosity 13 that could aid fluid distribution, or tailoring wetting properties that define flow channels. 14,15 When polymer properties do not suffice, it is possible to directly fabricate metal lattices 16 or use polymer lattices to template metal lattices.…”

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confidence: 99%

Optimization of flow in additively manufactured porous columns with graded permeability

Salloum

Robinson

2022

AIChE Journal

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Chemical engineering systems often involve a functional porous medium, such as in catalyzed reactive flows, fluid purifiers, and chromatographic separations. Ideally, the flow rates throughout the porous medium are uniform, and all portions of the medium contribute efficiently to its function. The permeability is a property of a porous medium that depends on pore geometry and relates flow rate to pressure drop. Additive manufacturing techniques raise the possibilities that permeability can be arbitrarily specified in three dimensions, and that a broader range of permeabilities can be achieved than by traditional manufacturing methods. Using numerical optimization methods, we show that designs with spatially varying permeability can achieve greater flow uniformity than designs with uniform permeability. We consider geometries involving hemispherical regions that distribute flow, as in many glass chromatography columns. By several measures, significant improvements in flow uniformity can be obtained by modifying permeability only near the inlet and outlet.

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“…Ali et al [ 29 ] investigated the fluid flow within the scaffolds using computational fluid dynamic (CFD) analysis, and the results show that the permeability of the scaffolds was governed by their architecture and any changes in the size of channels would reduce permeability. Asbai-Ghoudan et al [ 30 ] used CFD to calculate permeability for three TPMS-based scaffolds and the results show that permeability increased with porosity at different rates, highlighting the importance of pore distribution and architecture. Ma et al [ 14 ] indicated that the roughness of the scaffolds’ surfaces can influence transmission performance, especially for the scaffolds with small pore sizes.…”

Section: Introductionmentioning

confidence: 99%

Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface

Zhu

Zou

et al. 2022

Materials

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Triply periodic minimal surfaces (TPMS) became an effective method to design porous scaffolds in recent years due to their superior mechanical and other engineering properties. Since the advent of additive manufacturing (AM), different TPMS-based scaffolds are designed and fabricated for a wide range of applications. In this study, Schwarz Primitive triply periodic minimal surface (P-TPMS) is adopted to design a novel porous scaffold according to the distribution of the scaffold stress under a fixed load with optimized thickness to tune both the mechanical and biological properties. The designed scaffolds are then additively manufactured through selective laser melting (SLM). The micro-features of the scaffolds are studied through scanning electron microscopy (SEM) and micro-computed tomography (CT) images, and the results confirm that morphological features of printed samples are identical to the designed ones. Afterwards, the quasi-static uniaxial compression tests are carried out to observe the stress–strain curves and the deformation behavior. The results indicate that the mechanical properties of the porous scaffolds with optimized thickness were significantly improved. Since the mass transport capability is important for the transport of nutrients within the bone scaffolds, computational fluid dynamics (CFD) are used to calculate the permeability under laminar flow conditions. The results reveal that the scaffolds with optimized structures possess lower permeability due to the rougher inner surface. In summary, the proposed method is effective to tailor both the mechanical properties and permeability, and thus offers a means for the selection and design of porous scaffolds in biomedical fields.

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Analytical model for the prediction of permeability of triply periodic minimal surfaces

Cited by 58 publications

References 53 publications

Implementation of triply periodic minimal surface (TPMS) structure in mesenchymal stem cell differentiation.

Implementation of triply periodic minimal surface (TPMS) structure in mesenchymal stem cell differentiation.

Optimization of flow in additively manufactured porous columns with graded permeability

Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface

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