Skip to main content
SpringerLink
Log in

Determination of the Protein Layer Thickness on the Surface of Polydisperse Nanoparticles from the Distribution of Their Concentration Along a Measuring Channel

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Detection of biomarkers in picomolar or subpicomolar concentrations for revealing marker proteins at the early stage of neurodegenerative diseases is an urgent problem. One of the stages of its solution is determination of the marker’s protein layer thickness adhering to the surface of magnetized nanoparticles. In this work, we present an algorithm for determining the protein layer thickness on the surface of magnetized polydisperse nanoparticles having logarithmically normal size distribution of the magnetic core, as well as the results of the analysis of the error in the determination of the thickness of this layer. The analysis is based on an analytical solution of the equation of diffusion of nanoparticles. With the aid of this solution, in the computational experiment the concentration profiles along the length of the measuring channel have been imitated at the given values of the ″measurement″ duration, protein layer thickness on the nanoparticles surface, and of the relative accidental error of ″measurements.″ It is shown that at the protein layer thickness above 10 nm the proposed technique allows one to determine this thickness with a relative error 5–10 times lower than the error of measuring their concentration.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. O. Ivanov, S. S. Kantorovich, E. N. Reztikov, Ch. Holm, A. F. Pschenichnikov, A. V. Lebedev, A. Chremos, and Ph. J. Camp, Magnetic properties of polydisperse ferrofluids: A critical comparison between experiment, theory, and computer simulation, Phys. Rev. E, 75, 061405-1–061405-12 (2007).

    Article  Google Scholar 

  2. J. A. Jamison, K. M. Krueger, C. T. Yavuz, J. T. Mayo, D. LeCrone, J. J. Redden, and V. L. Colvin, Size-dependent sedimentation properties of nanocrystals, ACS Nano, 2, 311-319 (2008).

    Article  Google Scholar 

  3. A. Doicu, T. Wriedt, and Y. Eremin, Light Scattering by Systems of Particles, Springer, Berlin (2006).

    Book  MATH  Google Scholar 

  4. F. Hinze, S. Ripperger, and M. Stintz, Charakterisierung von Suspensionen nanoskaliger Partikelmittels Ultraschallspektroskopie und elektroakustischer Methoden, Chem. Ing. Tech., 72, 322−332 (2000).

    Article  Google Scholar 

  5. D. Chicea, Using AFM topography measurements in nanoparticle sizing, Rom. Rep. Phys., 66, No. 3, 778–787 (2014).

    Google Scholar 

  6. Ch. M. Hoo, N. Starostin, P. West, and M. L. Mecartney, A comparison of atomic force microscopy (AFM) and dynamic light scattering (DLS) methods to characterize nanoparticle size distributions, J. Nanopart. Res., 10, 89–96 (2008).

    Article  Google Scholar 

  7. B. Akbari, M. P. Tavasndashti, and M. Zandrahimi, Particle size characterization of nanoparticles — A practical approach, Iran. J. Mater. Sci. Eng., 8, 48–56 (2001).

    Google Scholar 

  8. J. Tuoriniemi, A.-C. J. H. Johnson, J. P. Holmberg, et al., Intermethod comparison of the particle size distribution of colloidal silica nanoparticles, Sci. Technol. Adv. Mater., 15, No. 3, 035009, 1-10 (2014).

  9. M. Vippola, M. Valkonen, E. Sarlin, M. Honkanen, and H. Huttunen, Insight to nanoparticle size analysis — Novel and convenient image analysis method versus conventional techniques, Nanoscale Res. Lett., 11:169, 1–9 (2016).

    Google Scholar 

  10. V. Guschin, W. Becker, N. Eisenreich, and A. Bendfeld, Determination of the nanoparticle size distribution in media by turbidimetric measurements, Chem. Eng. Technol., 35, No. 2, 317-322 (2013).

    Article  Google Scholar 

  11. V. Socoliuc and L. B. Popescu, Magneto-optical granulometry: on the determination of the statistics of magnetically induced particle chains in concentrated ferrofluids from linear dichroism experiments (2018); https://arxiv.org/abs/1410.2366.

  12. L. Calzolai, D. Gilliland, and F. Rossi, Measuring nanoparticle size distribution in food and consumer products: a review, Food Additives & Contaminants: Part A: Chemistry, Analysis, Control, Exposure & Risk Assessment; DOI:https://doi.org/10.1080/19440049.2012.689777.

  13. Magnetic Diagnostic Assay for Neurodegenerative Diseases; https://cordis.europa.eu/project/rcn/206197_en.html.

  14. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd edn., Oxford University Press, Oxford (1959).

  15. G. E. P. Box and M. E. Muller, A note on the generation of random normal deviates, Ann. Math. Stat., 29, 610–611 (1958).

    Article  MATH  Google Scholar 

  16. B. D. Bunday, Basic Optimization Methods. School of Mathematical Sciences, Edward Arnold Publisher, University of Bradford (1984).

  17. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).

Download references

Author information

Authors and Affiliations

  1. A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str, 220072, Minsk, Belarus

    A. Makhaniok

  2. Biodevice Systems s.r.o., Bulharská 996/20, Vršovice (Prague 10), 10100, Prague, Czech Republic

    A. Makhaniok & V. A. Goranov

  3. Magnetic nanostructured hybrid materials and systems, CNR-ISMN, Via Gobetti 101, 40129, Bologna, Italy

    V. A. Dediu

Authors
  1. A. Makhaniok
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Goranov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. A. Dediu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Makhaniok.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 1, pp. 21–31, January–February, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Makhaniok, A., Goranov, V.A. & Dediu, V.A. Determination of the Protein Layer Thickness on the Surface of Polydisperse Nanoparticles from the Distribution of Their Concentration Along a Measuring Channel. J Eng Phys Thermophy 92, 19–28 (2019). https://doi.org/10.1007/s10891-019-01903-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-019-01903-z

Keywords

Search

Navigation