Skip to main content

Modeling and Optimization Applied to the Design of Fast Hydrodynamic Focusing Microfluidic Mixer for Protein Folding

  • Conference paper
  • First Online:
Progress in Industrial Mathematics at ECMI 2016 (ECMI 2016)

Part of the book series: Mathematics in Industry ((TECMI,volume 26))

Included in the following conference series:

  • 735 Accesses

Abstract

In this paper, we are interested in the design of a microfluidic mixer based on hydrodynamic focusing which is used to initiate the folding process (i.e., changes of the molecular structure) of a protein by diluting a protein solution to decrease its denaturant concentration to a given value in a short time interval we refer to as mixing time. Our objective is to optimize this mixer by choosing suitable shape and flow conditions in order to minimize its mixing time. To this end, we first introduce a numerical model that enables computation of the mixing time of a considered mixer. Then, we define a mixer optimization problem and solve it using a hybrid global optimization algorithm.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Berg, J., Tymoczko, J., Stryer, L.: Biochemistry, 5th edn. W.H. Freeman, New York (2002)

    Google Scholar 

  2. Brody, J., Yager, B., Goldstein, R., Austin, R.: Biotechnology at low Reynolds numbers. Biophys. J. 71(6), 3430–3441 (1996)

    Article  Google Scholar 

  3. Hertzog, D., Michalet, X., Jäger, M., Kong, X., Santiago, J., Weiss, S., Bakajin, O.: Femtomole mixer for microsecond kinetic studies of protein folding. Anal. Chem. 76(24), 7169–7178 (2004)

    Article  Google Scholar 

  4. Hertzog, D., Ivorra, B., Mohammadi, B., Bakajin, O., Santiago, J.: Optimization of a microfluidic mixer for studying protein folding kinetics. Anal. Chem. 78(13), 4299–4306 (2006)

    Article  Google Scholar 

  5. Ivorra, B., Mohammadi, B., Santiago, J., Hertzog, D.: Semi-deterministic and genetic algorithms for global optimization of microfluidic protein folding devices. Int. J. Numer. Methods Eng. 66(2), 319–333 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Ivorra, B., Redondo, J.L., Santiago, J.G., Ortigosa, P.M., Ramos, A.M.: Two- and three-dimensional modeling and optimization applied to the design of a fast hydrodynamic focusing microfluidic mixer for protein folding. Phys. Fluids 25(3), 032001 (2013)

    Article  MATH  Google Scholar 

  7. Ivorra, B., Mohammadi, B., Ramos, A.M.: A multi-layer line search method to improve the initialization of optimization algorithms. Eur. J. Oper. Res. 247(3), 711–720 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ivorra, B., Redondo, J.L., Ramos, A.M., Santiago, J.G.: Design sensitivity and mixing uniformity of a micro-fluidic mixer. Phys. Fluids 28(1), 012005 (2016)

    Article  Google Scholar 

Download references

Acknowledgements

This work was carried out thanks to the financial support of the “Spanish Ministry of Economy and Competitiveness” under projects MTM2011-22658 and MTM2015-64865-P; the “Junta de Andalucía” and the European Regional Development Fund through project P12-TIC301; and the research group MOMAT (Ref.910480) supported by “Banco Santander” and “Universidad Complutense de Madrid”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Benjamin Ivorra .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ivorra, B., Crespo, M., Redondo, J.L., Ramos, Á.M., Ortigosa, P.M., Santiago, J.G. (2017). Modeling and Optimization Applied to the Design of Fast Hydrodynamic Focusing Microfluidic Mixer for Protein Folding. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_98

Download citation

Publish with us

Policies and ethics