Skip to main content

Advertisement

Log in

Design of Biomimetic Porous Scaffolds for Bone Tissue Engineering

  • Published:
Transport in Porous Media Aims and scope Submit manuscript

Abstract

The fluid flow dynamics on the porous scaffolds and their static responses on the adjacent bone are very crucial parameters for bone adaptation. Researchers are trying to develop different algorithms to design biomimetic porous scaffolds incorporating bone tissue engineering. In this present work, three types of biomimetic heterogeneous porous scaffolds (HPS) were designed with the help of the Voronoi tessellation method and Swarm Intelligence and those were analysed under fluid perfusion as well as under static loading conditions. In computational fluid dynamics (CFD) analysis, the wall shear stress (WSS) and the permeability of the porous scaffolds were compared to the natural trabecular bone to understand their hydrodynamic responses. In static analysis, the von Mises stresses of the Ti6Al4V scaffolds were checked to ensure no-yield condition. The strain energy density (SED) distributions were also studied on the neighbouring bone region of the femur greater trochanter to obtain stress shielding (SS) patterns and these findings were then compared with the natural trabecular bone at the same anatomical region. The outcome parameters, viz. the induced WSS, von Mises stress, the permeability, and SS of the scaffold, are found to be independent of the scaffold architecture. The von Mises stress and permeability increased with an increase in porosities, while the induced WSS and SS nature of the scaffolds showed the reverse trend. The results showed that the HPS designed based on the Swarm Intelligence incorporating Physarum Polycephalum algorithm offered the least SS level of 41.096 for 75% porous HPS, which may be considered the most promising result. Considering all the parameters, the novel designed scaffold based on Swarm Intelligence showed the most trabecular bone mimicking nature compared to the other scaffolds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

Data Availability

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

References

  • Abdalrahman, T., Scheiner, S., Hellmich, C.: Is trabecular bone permeability governed by molecular ordering-induced fluid viscosity gain? Arguments from re-evaluation of experimental data in the framework of homogenization theory. J. Theor. Biol. 365, 433–444 (2015)

    Article  CAS  Google Scholar 

  • Ali, D., Sen, S.: Finite element analysis of mechanical behavior, permeability and fluid induced wall shear stress of high porosity scaffolds with gyroid and lattice-based architectures. J. Mech. Behav. Biomed. Mater. 75, 262–270 (2017)

    Article  CAS  Google Scholar 

  • Ali, D., Ozalp, M., Blanquer, S.B.G., Onel, S.: Permeability and fluid flow-induced wall shear stress in bone scaffolds with TPMS and lattice architectures: a CFD analysis. Eur. J. Mech. B/fluids 79, 376–385 (2020)

    Article  Google Scholar 

  • Alonzo, M., et al.: Bone tissue engineering techniques, advances, and scaffolds for treatment of bone defects. Curr. Opin. Biomed. Eng. 17, 100248 (2021)

    Article  CAS  Google Scholar 

  • Baroud, G., et al.: Experimental and theoretical investigation of directional permeability of human vertebral cancellous bone for cement infiltration. J. Biomech. 2, 189–196 (2004)

    Article  Google Scholar 

  • Blanchard, R., Dejaco, A., Bongaers, E., Hellmich, C.: Intravoxel bone micromechanics for microCT-based finite element simulations. J. Biomech. 46(15), 2710–2721 (2013)

    Article  Google Scholar 

  • Chatterjee, S., Roy, S., Majumder, S., Roychowdhury, A.: Biomechanical analysis to probe role of bone condition and subject weight in stiffness customization of femoral stem for improved periprosthetic biomechanical response. J. Biomech. Eng. (2020). https://doi.org/10.1115/1.4046973

    Article  Google Scholar 

  • Chen, W., Dai, N., Wang, J., Liu, H., Li, D., Liu, L.: Personalized design of functional gradient bone tissue engineering Scaffold. J. Biomech. Eng. (2019). https://doi.org/10.1115/1.4043559

    Article  Google Scholar 

  • Chen, H.C., Hu, Y.C.: Bioreactors for tissue engineering. Biotechnol. Lett. 28, 1415–1423 (2006)

    Article  CAS  Google Scholar 

  • Chen, H., et al.: Design and properties of biomimetic irregular scaffolds for bone tissue engineering. Comput. Biol. Med. 130, 104241 (2021)

    Article  CAS  Google Scholar 

  • Cheng, et al.: Promoting osteogenic differentiation in pre-osteoblasts and reducing tibial fracture healing time using functional nanofibers. Nano Res. 11, 3658–3677 (2018)

    Article  CAS  Google Scholar 

  • Cowin, S.C.: Bone poroelasticity. J. Biomech. 32, 217–238 (1999)

    Article  CAS  Google Scholar 

  • Das, S., Abraham, A., Konar, A.: Swarm intelligence algorithms in bioinformatics BT. In: Kelemen, A., Abraham, A., Chen, Y. (eds.) Computational Intelligence in Bioinformatics, pp. 113–147. Springer, Berlin (2008)

    Chapter  Google Scholar 

  • Du, Y., et al.: Finite element analysis of mechanical behavior, permeability of irregular porous scaffolds and lattice-based porous scaffolds. Mater. Res. Express 6(10), 105407 (2019)

    Article  CAS  Google Scholar 

  • Du, Y., et al.: Design and statistical analysis of irregular porous scaffolds for orthopedic reconstruction based on voronoi tessellation and fabricated via selective laser melting (SLM). Mater. Chem. Phys. 239, 121968 (2020)

    Article  CAS  Google Scholar 

  • Feng, J., Fu, J., Lin, Z., Shang, C., Li, B.: A review of the design methods of complex topology structures for 3D printing. Vis. Comput. Ind. Biomed. Art 1(1), 5 (2018)

    Article  Google Scholar 

  • Gómez, S., Vlad, M.D., López, J., Fernández, E.: Design and properties of 3D scaffolds for bone tissue engineering. Acta Biomater. 42, 341–350 (2016)

    Article  Google Scholar 

  • González-Henríquez, C.M., et al.: Fabrication and testing of multi-hierarchical porous scaffolds designed for bone regeneration via additive manufacturing processes. Polymers (2022). https://doi.org/10.3390/polym14194041

    Article  Google Scholar 

  • Govey, P.M., Loiselle, A.E., Donahue, H.J.: Biophysical regulation of stem cell differentiation. Curr. Osteoporosis Rep. 11, 83–91 (2013)

    Article  Google Scholar 

  • Grimm, M.J., Williams, J.L.: Measurements of permeability in human calcaneal trabecular bone. J. Biomech. 30, 743–745 (1997)

    Article  CAS  Google Scholar 

  • Gryko, A., Prochor, P., Sajewicz, E.: Finite element analysis of the influence of porosity and pore geometry on mechanical properties of orthopaedic scaffolds. J. Mech. Behav. Biomed. Mater. 132, 105275 (2022)

    Article  CAS  Google Scholar 

  • Gupta, A., Rana, M., Mondal, N., Das, A., Karmakar, A., Roy Chowdhury, A.: Designing of different types of gyroid scaffold architecture to achieve patient-specific osseointegration friendly mechanical environment. Int. J. Multiscale Comput. Eng. 21(4), 1–15 (2022)

    Article  Google Scholar 

  • Gupta, A., Das, A., Barui, A., Das, A., Roy Chowdhury, A.: Evaluating the cell migration potential of TiO2 nanorods incorporated in a Ti6Al4V scaffold: a multiscale approach. J. Mech. Behav. Biomed. Mater. 144, 105940 (2023)

    Article  CAS  Google Scholar 

  • Hall, S.J.: Basic Biomechanics, 7e edn. McGraw-Hill, New York (2019)

    Google Scholar 

  • Hellmich, C., Kober, C., Erdmann, B.: Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible. Ann. Biomed. Eng. 36, 108–122 (2008)

    Article  Google Scholar 

  • Hellmich, C., Celundova, D., Ulm, F.J.: Multiporoelasticity of hierarchically structured materials: micromechanical foundations and application to bone. J. Eng. Mech. (ASCE) 135, 382–394 (2009)

    Article  Google Scholar 

  • Huiskes, R., Weinans, H., Grootenboer, H.J., Dalstra, M., Fudala, B., Slooff, T.J.: Adaptive bone-remodeling theory applied to prosthetic-design analysis. J. Biomech. 20(11–12), 1135–1150 (1987)

    Article  CAS  Google Scholar 

  • Jones, J.: Characteristics of pattern formation and evolution in approximations of physarum transport networks. Artif. Life 16(2), 127–153 (2010)

    Article  Google Scholar 

  • Kanwar, S., Al-Ketan, O., Vijayavenkataraman, S.: A novel method to design biomimetic, 3D printable stochastic scaffolds with controlled porosity for bone tissue engineering. Mater. Des. 220, 110857 (2022)

    Article  CAS  Google Scholar 

  • Kapat, K., et al.: Influence of porosity and pore-size distribution in Ti6Al4 V foam on physicomechanical properties, osteogenesis, and quantitative validation of bone ingrowth by micro-computed tomography. ACS Appl. Mater. Interfaces 9(45), 39235–39248 (2017)

    Article  CAS  Google Scholar 

  • Klein-Nulend, et al.: Sensitivity of osteocytes to biomechanical stress in vitro. FASEB J. 9(5), 441–445 (1995)

    Article  CAS  Google Scholar 

  • Kohles, S., et al.: Direct perfusion measurements of cancellous bone anisotropic permeability. J. Biomech. 34, 1197–1202 (2001)

    Article  CAS  Google Scholar 

  • Kou, X.Y., Tan, S.T.: A simple and effective geometric representation for irregular porous structure modeling. Comput. Des. 42(10), 930–941 (2010)

    Google Scholar 

  • Lesman, A., Blinder, Y., Levenberg, S.: Modeling of flow-induced shear stress applied on 3D cellular scaffolds: Implications for vascular tissue engineering. Biotechnol. Bioeng. 105(3), 645–654 (2010)

    Article  CAS  Google Scholar 

  • Liang, H., et al.: Trabecular-like Ti6Al4V scaffold for bone repair: a diversified mechanical stimulation environment for bone regeneration. Compos. Part B Eng. 241, 110057 (2022)

    Article  CAS  Google Scholar 

  • Liu, Y., Passino, K.M.: Swarm intelligence: Literature overview. Department of electrical engineering, the Ohio State University (2000)

  • Liu, L., Wang, S., Liu, J., Deng, F., Li, Z., Hao, Y.: Architectural design of Ti6Al4V scaffold controls the osteogenic volume and application area of the scaffold. J. Mater. Res. Technol. 9(6), 15849–15861 (2020)

    Article  CAS  Google Scholar 

  • Majumder, S., Gupta, A., Choudhury, S., Chowdhury, A.R.: Evaluating the in vitro mechanical responses of stem cell under fluid perfusion in different porous scaffolds. J. Eng. Sci. Med. Diagnostics Ther. (2023). https://doi.org/10.1115/1.4062340

    Article  Google Scholar 

  • Moradkhani, M., Vahidi, B., Ahmadian, B.: Finite element study of stem cells under fluid flow for mechanoregulation toward osteochondral cells. J. Mater. Sci. Mater. Med. 32(7), 84 (2021)

    Article  CAS  Google Scholar 

  • Morin, C., Hellmich, C.: A multiscale poromicromechanical approach to wave propagation and attenuation in bone. Ultrason. 54, 1251–1269 (2014)

    Article  Google Scholar 

  • Mustafa, N.S., et al.: Application of computational method in designing a unit cell of bone tissue engineering scaffold: a review. Polymers (basel) (2021). https://doi.org/10.3390/polym13101584

    Article  Google Scholar 

  • Pastrama, M.I., Scheiner, S., Pivonka, P., Hellmich, C.: A mathematical multiscale model of bone remodeling, accounting for pore space-specific mechanosensation. Bone 107, 208–221 (2018)

    Article  Google Scholar 

  • Prendergast, P.J., Huiskes, R., Søballe, K.: Biophysical stimuli on cells during tissue differentiation at implant interfaces. J. Biomech. 30(6), 539–548 (1997)

    Article  CAS  Google Scholar 

  • Rabiatul, A.A.R., et al.: Fluid–structure interaction (FSI) modeling of bone marrow through trabecular bone structure under compression. Biomech. Model. Mechanobiol. 20(3), 957–968 (2021)

    Article  CAS  Google Scholar 

  • Rana, M., Karmakar, S.K., Pal, B., Datta, P., Roychowdhury, A., Bandyopadhyay, A.: Design and manufacturing of biomimetic porous metal implants. J. Mater. Res. 36(19), 3952–3962 (2021)

    Article  CAS  Google Scholar 

  • Rana, M., Karmakar, S., Bandyopadhyay, A., Roychowdhury, A.: Design and manufacturing of patient-specific Ti6Al4V implants with inhomogeneous porosity. J. Mech. Behav. Biomed. Mater. 143, 105925 (2023)

    Article  CAS  Google Scholar 

  • Rana, M., et al.: Design of patient specific bone stiffness mimicking scaffold. Proc. Inst. Mech. Eng. Part h. J. Eng. Med. 235(12), 1453–1462 (2021)

    Article  Google Scholar 

  • Rodríguez-Montaño, Ó.L., et al.: Irregular load adapted scaffold optimization: a computational framework based on mechanobiological criteria. ACS Biomater. Sci. Eng. 5(10), 5392–5411 (2019)

    Article  Google Scholar 

  • Sandino, C., Kroliczek, P., McErlain, D.D., Boyd, S.K.: Predicting the permeability of trabecular bone by micro-computed tomography and finite element modeling. J. Biomech. 47(12), 3129–3134 (2014)

    Article  Google Scholar 

  • Scheiner, S., Pivonka, P., Hellmich, C.: Coupling systems biology with multiscale mechanics, for computer simulations of bone remodelling. Comput. Methods Appl. Mech. Eng. 254, 181–196 (2013)

    Article  Google Scholar 

  • Scheiner, S., Pivonka, P., Hellmich, C.: Poromicromechanics reveals that physiological bone strains induce osteocyte-stimulating lacunar pressure. Biomech. Model. Mechanobiol. 15, 9–28 (2016)

    Article  Google Scholar 

  • Shegarfi, H., Reikeras, O.: Review article: bone transplantation and immune response. J. Orthop. Surg. (hong Kong) 17(2), 206–211 (2009)

    Article  Google Scholar 

  • Syahrom, A., Abdul Kadir, M.R., Abdullah, J., Öchsner, A.: Permeability studies of artificial and natural cancellous bone structures. Med. Eng. Phys. 35(6), 792–799 (2013)

    Article  Google Scholar 

  • Wang, G., et al.: Design and compressive behavior of controllable irregular porous scaffolds: based on voronoi-tessellation and for additive manufacturing. ACS Biomater. Sci. Eng. 4(2), 719–727 (2018)

    Article  CAS  Google Scholar 

  • Wang, L., Wang, J., Chen, Q., Li, Q., Mendieta, J.B., Li, Z.: How getting twisted in scaffold design can promote bone regeneration: a fluid–structure interaction evaluation. J. Biomech. 145, 111359 (2022c)

    Article  Google Scholar 

  • Wang, X., Chen, J., Kang, Y., Sun, L.: Design and analysis of the mechanical properties of controllable porous scaffolds for bone tissue engineering. Proc. Inst. Mech. Eng. Part H J. Eng. Med. 236(5), 748–760 (2022a)

    Article  Google Scholar 

  • Wang, X., Chen, J., Guan, Y., Sun, L., Kang, Y.: Internal flow field analysis of heterogeneous porous scaffold for bone tissue engineering. Comput. Methods Biomech. Biomed. Eng. 26(7), 1–13 (2022b)

    Google Scholar 

  • Zhang, S., Vijayavenkataraman, S., Lu, W.F., Fuh, J.Y.H.: A review on the use of computational methods to characterize, design, and optimize tissue engineering scaffolds, with a potential in 3D printing fabrication. J. Biomed. Mater. Res. Part B Appl. Biomater. 107(5), 1329–1351 (2019)

    Article  CAS  Google Scholar 

  • Zhao, H., et al.: Design and mechanical properties verification of gradient Voronoi Scaffold for bone tissue engineering. Micromachines (2021). https://doi.org/10.3390/mi12060664

    Article  Google Scholar 

  • Zhao, Z., Li, J., Yao, D., Wei, Y.: Mechanical and permeability properties of porous scaffolds developed by a Voronoi tessellation for bone tissue engineering. J. Mater. Chem. B 10(46), 9699–9712 (2022)

    Article  CAS  Google Scholar 

  • Zhu, L., et al.: Design and compressive fatigue properties of irregular porous scaffolds for orthopedics fabricated using selective laser melting. ACS Biomater. Sci. Eng. 7(4), 1663–1672 (2021)

    Article  CAS  Google Scholar 

Download references

Funding

The authors declare that no funds, grants, or other supports were received during the preparation of this manuscript.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. RP helped in writing–original draft, methodology, investigation. MR was involved in writing–review & editing, conceptualization, investigation. AG was involved in conceptualization and methodology. TB helped in methodology and investigation. SKK contributed to writing–review & editing and supervision. AR helped in supervision and conceptualization. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Amit Roy Chowdhury.

Ethics declarations

Conflict of interest

The authors have no relevant financial or non-financial interests to disclose.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Paul, R., Rana, M., Gupta, A. et al. Design of Biomimetic Porous Scaffolds for Bone Tissue Engineering. Transp Porous Med 151, 1453–1473 (2024). https://doi.org/10.1007/s11242-024-02082-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11242-024-02082-z

Keywords

Navigation