Physical-Mathematical Model for Estimating the Particle Size in Low-Diluted Colloidal Suspensions
Keywords:
Particle size, nanoparticles, colloidal suspensions, turbid media, Mie scatteringAbstract
The knowledge of the particles sizes on the order of micrometers or nanometers in suspensions, offers a wealth of information for a wide range of biological and biomedical applications such as the development of biopolymers, evaluation the efficiency of antibiotics and anticancer drugs. These investigations have as common factor the need to estimate the average size of a large number of particles in colloidal suspensions, which is known as turbid media due to its optical characteristics. The methodologies based on Mie scattering are widely used because their implementations are inexpensive in relation to other methods and it is valid only when it considers that the medium is composed of transparent dielectric spherical particles and the suspension is highly diluted. These methods are based on experimental contrast measurements with results of theoretical models of the intensity of light scattered by the medium. In this contribution we present a physical-mathematical model that arises from the application of the model together with the analytical Mie scattering model of photon migration, to estimate the size of particles in turbid media of low dilution
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References
[1] W. C. Wimley y K. Hristova, «Antimicrobial Peptides Successes, Challenges and Unanswered Questions,» J Membrane Biol, vol. 239, p. 27–34, 2011.
[2] N. Buron, M. Porceddu, M. Brabant, D. Desgue, C. Racoeur, M. Lassalle, C. Péchoux, R. Rustin, E. Jacotot y A. Borgne-Sanchez, «Use of Human Cancer Cell Lines Mitochondria to Explore the Mechanisms of BH3 Peptides and ABT-737-Induced Mitochondrial Membrane Permeabilization,» PLoS ONE, vol. 5, nº 3, p. e9924, 2010.
[3] J. K. Armstrong, R. B. Wenby, H. J. Meiselman y T. C. Fisher, «The Hydrodynamic Radii of Macromolecules and Their Effect on Red,» Biophysical Journal, vol. 87, p. 4259–4270, 2004.
[4] S. Asakura y F. Oosawa, «Interaction between Particles Suspended in Solutions of Macromolecules,» Journal of Polymer Science, vol. 33, pp. 183-192, 1958.
[5] O. Baskurt, B. Neu y J. Herbert, Red Blood Cell Aggregation, USA: CRC Press, 2012.
[6] R. M. Bauersachs, R. B. Wenby y H. J. Meiselman, «Determination of specific red blood cell aggregation indices via an automated system,» Clin. Hemorheol, vol. 9, pp. 1-25, 1989.
[7] S. K. Brar y M. verma, «Measurement of nanoparticles by light-scattering techniques,» Trends in Analytical Chemistry, vol. 30, nº 1, pp. 1-17, 2011.
[8] C. F. Bohren y D. R. Huffman, Absorption and Scattering of Light by Small Particles, USA: WILEY-vCH v erlag GmbH & Co. KGaA, 1998.
[9] M. I. Mishchenko, J. W. Hovenier y L. D. Travis, Light Scattering by Nonspherical Particles, USA: Academic Press, 2000.
[10] Y. Hui, Z. Gang, D. Shu-Guang, Z. Ren-Jie y M. Ping-An, «Dynamic light back-scattering with polarization gating and Fourier spatial filter for particle sizing in concentrated suspension,» Optica Applicata, vol. 40, nº 4, pp. 819-826, 2010.
[11] A. Doronin y I. Meglinski, «Peer-to-peer Monte Carlo simulation of photon migration in topical applications of biomedical optics,» Journal of Biomedical Optics, vol. 17, nº 9, p. 090504, 2012.
[12] J. Zhu, K. S. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen y L. Yang, «On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator,» Nature Photonics, vol. 4, pp. 46-49, 2010.
[13] H. Auweter y D. Horn, «Fiber-Optical Quasi-elastic Light Scattering of Concentrated Dispersions,» Journal of Colloid and Interface Science, vol. 105, nº 2, pp. 399-409, 1985.
[14] W. Tscharnuter, «Photon Correlation Spectroscopy in Particle Sizing,» Encyclopedia of Analytical Chemistry, p. 5469–5485, 2000.
[15] H. C. van de Hulst, Light Scattering by Small Particles, USA: Dover Publications, Inc., 1981.
[16] C. Troiber, J. C. Kasper, S. Milani, M. Scheible, I. Martin, F. Schaubhut, S. Küchler, J. Rädler, F. C. Simmel, W. Friess y E. Wagner, «Comparison of four different particle sizing methods for siRNA polyplex characterization,» European Journal of Pharmaceutics and Biopharmaceutics, vol. 84, p. 255–264, 2013.
[17] J. Wu, F. Partovi, M. Feld y R. Rava, «Diffuse reflectance from turbid meduia - an analytical model of photon migration,» Applied Optics, vol. 32, nº 7, p. 1121, 1993.
[18] N. Ghosh, S. Mjumder y P. Gupta, «Fluorescence depolarization in a scattering medium: Effect of size parameter of a scatter,» PHYSICAL REVIEW E, vol. 65, pp. 026608-1, 026608-5, 2002.
[19] J. Wu, M. Feld y R. Rava, «Analytical model for extracting intrinsic fluorescence in turbid media,» Applied Optics, vol. 32, nº 19, pp. 3585-3595, 1993 .
[20] J. Lakowicz, Principles of Fluorescence Spectroscopy, Tercera ed., Springer, 2006.
[21] J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen y L. Yang, «On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator,» Nature Photon, vol. 4, pp. 46-49, 2010.
[22] G. Popescu y A. Dogariu, «Scattering of low coherence radiation and applications,» Eur. Phys. J. Appl. Phys., vol. 32, p. 73–93, 2005.
[23] F . Jaillon, S.E. Skipetrov, J. Li, G. Dietsche, G. Maret y T. Gisler. «Diffusing-wave spectroscopy from head-like tissue phantoms: influence of a non-scattering layer» Optics Express, vol. 14, nº 22, pp. 10181-10194, 2006.
[24] M. Medebach, C. Moitzi, N. Freiberger y O. Glatter, «Dynamic light scattering in turbid colloidal dispersions: A comparison between the modified flat-cell light-scattering instrument and 3D dynamic light-scattering instrument,» Journal of Colloid and Interface Science, vol. 305, p. 88–93, 2007.
[25] S. Elzey y v. H. Grassian, «Nanoparticle Dissolution from the Particle Perspective: Insights from Particle Sizing Measurements,» Langmuir Letter, vol. 26, nº 15, p. 12505–12508, 2010.
[2] N. Buron, M. Porceddu, M. Brabant, D. Desgue, C. Racoeur, M. Lassalle, C. Péchoux, R. Rustin, E. Jacotot y A. Borgne-Sanchez, «Use of Human Cancer Cell Lines Mitochondria to Explore the Mechanisms of BH3 Peptides and ABT-737-Induced Mitochondrial Membrane Permeabilization,» PLoS ONE, vol. 5, nº 3, p. e9924, 2010.
[3] J. K. Armstrong, R. B. Wenby, H. J. Meiselman y T. C. Fisher, «The Hydrodynamic Radii of Macromolecules and Their Effect on Red,» Biophysical Journal, vol. 87, p. 4259–4270, 2004.
[4] S. Asakura y F. Oosawa, «Interaction between Particles Suspended in Solutions of Macromolecules,» Journal of Polymer Science, vol. 33, pp. 183-192, 1958.
[5] O. Baskurt, B. Neu y J. Herbert, Red Blood Cell Aggregation, USA: CRC Press, 2012.
[6] R. M. Bauersachs, R. B. Wenby y H. J. Meiselman, «Determination of specific red blood cell aggregation indices via an automated system,» Clin. Hemorheol, vol. 9, pp. 1-25, 1989.
[7] S. K. Brar y M. verma, «Measurement of nanoparticles by light-scattering techniques,» Trends in Analytical Chemistry, vol. 30, nº 1, pp. 1-17, 2011.
[8] C. F. Bohren y D. R. Huffman, Absorption and Scattering of Light by Small Particles, USA: WILEY-vCH v erlag GmbH & Co. KGaA, 1998.
[9] M. I. Mishchenko, J. W. Hovenier y L. D. Travis, Light Scattering by Nonspherical Particles, USA: Academic Press, 2000.
[10] Y. Hui, Z. Gang, D. Shu-Guang, Z. Ren-Jie y M. Ping-An, «Dynamic light back-scattering with polarization gating and Fourier spatial filter for particle sizing in concentrated suspension,» Optica Applicata, vol. 40, nº 4, pp. 819-826, 2010.
[11] A. Doronin y I. Meglinski, «Peer-to-peer Monte Carlo simulation of photon migration in topical applications of biomedical optics,» Journal of Biomedical Optics, vol. 17, nº 9, p. 090504, 2012.
[12] J. Zhu, K. S. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen y L. Yang, «On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator,» Nature Photonics, vol. 4, pp. 46-49, 2010.
[13] H. Auweter y D. Horn, «Fiber-Optical Quasi-elastic Light Scattering of Concentrated Dispersions,» Journal of Colloid and Interface Science, vol. 105, nº 2, pp. 399-409, 1985.
[14] W. Tscharnuter, «Photon Correlation Spectroscopy in Particle Sizing,» Encyclopedia of Analytical Chemistry, p. 5469–5485, 2000.
[15] H. C. van de Hulst, Light Scattering by Small Particles, USA: Dover Publications, Inc., 1981.
[16] C. Troiber, J. C. Kasper, S. Milani, M. Scheible, I. Martin, F. Schaubhut, S. Küchler, J. Rädler, F. C. Simmel, W. Friess y E. Wagner, «Comparison of four different particle sizing methods for siRNA polyplex characterization,» European Journal of Pharmaceutics and Biopharmaceutics, vol. 84, p. 255–264, 2013.
[17] J. Wu, F. Partovi, M. Feld y R. Rava, «Diffuse reflectance from turbid meduia - an analytical model of photon migration,» Applied Optics, vol. 32, nº 7, p. 1121, 1993.
[18] N. Ghosh, S. Mjumder y P. Gupta, «Fluorescence depolarization in a scattering medium: Effect of size parameter of a scatter,» PHYSICAL REVIEW E, vol. 65, pp. 026608-1, 026608-5, 2002.
[19] J. Wu, M. Feld y R. Rava, «Analytical model for extracting intrinsic fluorescence in turbid media,» Applied Optics, vol. 32, nº 19, pp. 3585-3595, 1993 .
[20] J. Lakowicz, Principles of Fluorescence Spectroscopy, Tercera ed., Springer, 2006.
[21] J. Zhu, S. K. Ozdemir, Y.-F. Xiao, L. Li, L. He, D.-R. Chen y L. Yang, «On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator,» Nature Photon, vol. 4, pp. 46-49, 2010.
[22] G. Popescu y A. Dogariu, «Scattering of low coherence radiation and applications,» Eur. Phys. J. Appl. Phys., vol. 32, p. 73–93, 2005.
[23] F . Jaillon, S.E. Skipetrov, J. Li, G. Dietsche, G. Maret y T. Gisler. «Diffusing-wave spectroscopy from head-like tissue phantoms: influence of a non-scattering layer» Optics Express, vol. 14, nº 22, pp. 10181-10194, 2006.
[24] M. Medebach, C. Moitzi, N. Freiberger y O. Glatter, «Dynamic light scattering in turbid colloidal dispersions: A comparison between the modified flat-cell light-scattering instrument and 3D dynamic light-scattering instrument,» Journal of Colloid and Interface Science, vol. 305, p. 88–93, 2007.
[25] S. Elzey y v. H. Grassian, «Nanoparticle Dissolution from the Particle Perspective: Insights from Particle Sizing Measurements,» Langmuir Letter, vol. 26, nº 15, p. 12505–12508, 2010.
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Published
2015-06-30
How to Cite
Palacio, J. L., Fulla, M. R., & Rivera, I. E. (2015). Physical-Mathematical Model for Estimating the Particle Size in Low-Diluted Colloidal Suspensions. Revista CINTEX, 20(1), 53–68. Retrieved from https://revistas.pascualbravo.edu.co/index.php/cintex/article/view/30
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