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Chaotic mixing in three-dimensional microvascular networks fabricated by direct-write assembly

An Erratum to this article was published on 01 May 2003

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Abstract

The creation of geometrically complex fluidic devices is a subject of broad fundamental and technological interest. Here, we demonstrate the fabrication of three-dimensional (3D) microvascular networks through direct-write assembly of a fugitive organic ink. This approach yields a pervasive network of smooth cylindrical channels (10–300 μm) with defined connectivity. Square-spiral towers, isolated within this vascular network, promote fluid mixing through chaotic advection. These vertical towers give rise to dramatic improvements in mixing relative to simple straight (1D) and square-wave (2D) channels while significantly reducing the device planar footprint. We envisage that 3D microvascular networks will provide an enabling platform for a wide array of fluidic-based applications.

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Figure 1: Microvascular scaffold fabrication.
Figure 2: 3D microvascular network fabrication.
Figure 3: Square-spiral tower patterning.
Figure 4: Microfluidic mixing experiments.
Figure 5: Microfluidic mixing results.

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  • 01 April 2003

    Figure 3 has been replaced

Notes

  1. * An error has led to the arrows in Fig. 3b being doubled. This has been corrected in the full text version and will be corrected in an erratum in the May issue of Nature Materials, from which there will be a link to the original paper.

References

  1. Anderson, J.A. et al. Fabrication of topologically complex three-dimensional microfluidic systems in PDMS by rapid prototyping. Anal. Chem. 74, 3158–3164 (2000).

    Article  Google Scholar 

  2. Ikuta, K., Hirowatari, K. & Ogata, T. Three dimensional micro integrated fluid systems (MIFS) fabricated by stereo lithography. Proc. IEEE MEMS 1994 1–6 (1994).

  3. Burns, M.A. et al. An integrated nanoliter DNA analysis device. Science 282, 484–487 (1998).

    Article  CAS  Google Scholar 

  4. Chou, H.-P., Spence, C., Scherer, A. & Quake, S. A microfabricated device for sizing and sorting DNA molecules. Proc. Natl Acad. Sci. 96, 11–13 (1999).

    Article  CAS  Google Scholar 

  5. Strömberg, A. et al. Microfluidic device for combinatorial fusion of liposomes and cells. Anal. Chem. 73, 126–130 (2001).

    Article  Google Scholar 

  6. Choi, J.-W. & Ahn, C.H. An active microfluidic mixer for mixing of microparticles and liquids. SPIE Proc. 4177, 154–161 (2000).

    CAS  Google Scholar 

  7. White, S.R. et al. Autonomic healing of polymer composites. Nature 409, 794–797 (2001).

    Article  CAS  Google Scholar 

  8. Chabinyc, M.L. et al. An integrated fluorescence detection system in poly(dimethylsiloxane) for microfluidic applications. Anal. Chem. 73, 4491–4498 (2001).

    Article  CAS  Google Scholar 

  9. Losey, M.W., Schmidt, M.A. & Jensen, K.F. Microfabricated multiphase packed-bed reactors: characterization of mass transfer and reactions. Ind. Eng. Chem. Res. 40, 2555–2562 (2001).

    Article  CAS  Google Scholar 

  10. Jeon, N.L. et al. Generation of solution and surface gradients using microfluidic systems. Langmuir 16, 8311–8316 (2000).

    Article  CAS  Google Scholar 

  11. Moore, S.K. Microfluidics for complex computation. IEEE Spectrum 38, 28–29 (2001).

    Article  Google Scholar 

  12. Liu, R.H. et al. Passive mixing in a three-dimensional serpentine microchannel. J. Microelectromech. Syst. 9, 190–197 (2000).

    Article  Google Scholar 

  13. McDonald, J.C. et al. Fabrication of microfluidic systems in poly(dimethylsiloxane). Electrophoresis 21, 27–40 (2000).

    Article  CAS  Google Scholar 

  14. Stroock, A.B. et al. Chaotic mixer for microchannels. Science 295, 647–651 (2002).

    Article  CAS  Google Scholar 

  15. Pfahler, J., Harley, J., Bau, H. & Zemel, J. Liquid transport in micron and submicron channels. Sens. Actuat. A 21-23, 431–434 (1990).

    Article  Google Scholar 

  16. Jendrejack, R.M., de Pablo, J.J. & Graham, M.D. Stochastic simulations of DNA in flow. Dynamics and the effects of hydrodynamic interactions. J. Chem. Phys. 116, 7752–7759 (2002).

    Article  CAS  Google Scholar 

  17. Aref, H. The development of chaotic advection. Phys. Fluids 14, 1315–1325 (2002).

    Article  CAS  Google Scholar 

  18. Chrisey, D.B. Materials processing: the power of direct writing. Science 289, 879–881 (2000).

    Article  CAS  Google Scholar 

  19. Cesarano, J. & Calvert, P. Freeforming objects with low-binder slurry. US Patent 6,027,326 (2000).

  20. Smay, J.E., Cesarano, J. & Lewis, J.A. Colloidal inks for directed assembly of 3D periodic structures. Langmuir 18, 5429–5437 (2002).

    Article  CAS  Google Scholar 

  21. Zein, I., Hutmacher, D.W., Tan, K.C. & Teoh, S.H. Fused deposition modeling of novel scaffold architectures for tissue engineering applications. Biomaterials 23, 1169–1185 (2002).

    Article  CAS  Google Scholar 

  22. Too, M.H. et al. Investigation of 3D non-random porous structures by fused deposition modeling. Int. J. Adv. Manuf. Technol. 19, 217–223 (2002).

    Article  Google Scholar 

  23. Allahverdi, M., Danforth, S.C., Jafari, M. & Safari, A. Processing of advanced electroceramic components by fused deposition technique. J. Euro. Cer. Soc. 21, 1485–1490 (2001).

    Article  CAS  Google Scholar 

  24. Borisov, R.A. et al. Fabrication of three-dimensional periodic microstructures by means of two-photon polymerization. App. Phys. B 67, 765–767 (1998).

    Article  CAS  Google Scholar 

  25. Cumpston, B.H. et al. Two-photon polymerization initiators for three-dimensional optical data storage and microfabrication. Nature 398, 51–54 (1999).

    Article  CAS  Google Scholar 

  26. Toader, O. & John, S. Proposed square spiral microfabrication architecture for large three-dimensional photonic band gap crystals. Science 292, 1133–1135 (2001).

    Article  CAS  Google Scholar 

  27. Jones, S.W. in Chaos Applied to Fluid Mixing (eds Aref, H. & El Naschie, M.S) 185–196 (Pergamon, Oxford, 1995).

    Google Scholar 

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Acknowledgements

This work has been sponsored by the AFOSR Aerospace and Materials Science Directorate (Grant no. F49620-00-1-0094) and the National Science Foundation (Grant no. DMI 00-99360 and DMR-01-177792). Electron microscopy was carried out in the Center for Microanalysis of Materials, University of Illinois, which is supported by the US Department of Energy. Support for D. Therriault came from the University of Illinois through a CARVER Fellowship and a Nanoscience and Technology Center Fellowship, and the government of Québec (NATEQ). The robotic deposition apparatus used in this work was designed and built by J. Cesarano, and customized software for 3D fabrication was developed by J.E. Smay. The authors gratefully acknowledge the thoughtful comments and technical advice of colleagues R. Adrian, H. Aref, J. Moore, N. Sottos and P. Wiltzius.

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Correspondence to Scott R. White or Jennifer A. Lewis.

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Therriault, D., White, S. & Lewis, J. Chaotic mixing in three-dimensional microvascular networks fabricated by direct-write assembly. Nature Mater 2, 265–271 (2003). https://doi.org/10.1038/nmat863

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