Inverse problems of spectroturbidimetry of biological disperse systems: An overview

Journal of Biomedical Optics

Volumn 4, Issue 4, 1999, Pages 490-503

  Shchyogolev, Sergei Yuryevich ^a  

^a INSTITUTE OF BIOCHEMISTRY AND PHYSIOLOGY OF PLANTS AND MICROORGANISMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; ELECTROOPTICAL EFFECTS; INVERSE PROBLEMS; LIGHT SCATTERING; SPECTROMETRY; TURBIDIMETERS;

BIOLOGICAL DISPERSE SYSTEMS; SPECTROTURBIDIMETRY;

BIOMEDICAL ENGINEERING;

EID: 0033313796     PISSN: 10833668     EISSN: None     Source Type: Journal    
DOI: 10.1117/1.429954     Document Type: Article

References (82)

1. H. C. van de Hulst, Light Scattering by Small Particles, Wiley, New York (1957).
2. M. Kerker, The Scattering of Light and Outer Electro-Magnetic Radiations, Academic Press, New York (1969).
3. V. I. Klenin, S. Yu. Shchyogolev, and V. I. Lavrushin, Characteristic Functions of Light Scattering of Disperse Systems, Saratov State University Press, Saratov (1977).
4. P. Latimer, "Light scattering and absorption as methods of studying cell population parameters," Annu. Rev. Biophys. Bioeng. 11, 129-150 (1982).
5. K. S. Shifrin, Physical Optics of Ocean Water, American Institute of Physics, New York (1988).
6. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York (1983).
7. V. N. Lopatin and F. Ya. Sidko, An Introduction to the Optics of Cell Suspensions, Nauka Publishers, Novosibirsk (1988).
8. Optical Particle Sizing. Theory and Practice, G. Gousbet and G. Grehan, Eds., Plenum, New York (1988).
9. B. J. Berne and R. Pecora, Dynamic Light Scattering with Application to Chemistry, Biology, and Physics, Wiley, New York (1976).
10. P. Štépanek and Č. Koňák, "Quasielastic light scattering from polymers, colloids and gels," Adv. Colloid Interface Sci. 21, 195-274 (1984).
11. V. V. Klyubin, "Methods of processing of data of dynamic scattering spectroscopy and their use in solving problems of physics of polymer dispersions and biophysics," in Scattering and Absorption of Light in Natural and Artificial Dispersed Media, A. P. Ivanov, Ed., pp. 403-117, Nauka i Tekhnika Publishers, Minsk (1991).
12. Inverse Scattering Problems in Optics, H. P. Baltes, Ed., Springer Verlag, Berlin (1980).
13. A. N. Tikhonov, "Correct and incorrect problems," in The Great Soviet Encyclopedia, 3rd ed., pp. 208-209, Sovetskaya Entsiklopediya, Moscow (1973).
14. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems, Nauka, Moscow (1986).
15. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements, Elsevier, Amsterdam (1977).
16. V. V. Voitylov and A. A. Trusov, Electro-optics and Conductometry of Polydisperse Systems, Leningrad State University Press, Leningrad (1989).
17. V. N. Brezgunov, N. V. Shvets, A. G. Voloshin, V. D. Bunin, R. A. Simakova, and N. G. Yashchenko, "Determination of size of bacterial cells by electrooptical method," Kolloidn. Zh. 51, 842-847 (1989).
18. S. P. Stoylov, Colloid Electrooptics; Theory, Techniques and Applications, Academic Press, London (1991).
19. Colloid and Molecular Electrooptics 1991, B. R. Jennings and S. P. Stoylov, Eds., IOP, Bristol (1992).
20. N. G. Khlebtsov, A. G. Melnikov, and V. A. Bogatyrev, "The linear dichroism and birefringence of colloidal dispersions: approximate and exact approaches," J. Colloid Interface Sci. 146, 463-478 (1991).
21. N. G. Khlebtsov, A. G. Melnikov, and V. A. Bogatyrev, "Relaxation of orientation optical effects in disperse systems with non-Rayleigh particles," Kolloidn. Zh. 59, 691-697 (1997).
22. K. S. Shifrin and G. Tonna, "Inverse problems related to light scattering in the atmosphere and ocean," in Advances in Geophysics, Vol. 34, pp. 175-252, Academic Press, New York (1993).
23. S. Yu. Shchyogolev and V. I. Klenin, "Determination of particle size and refractive index from a turbidity spectrum of disperse systems," Opt. Spektrosk. 31, 794-802 (1971).
24. K. S. Shifrin and A. Ya. Perel'man, "Determination of the particle spectrum of a disperse system by data on its transparency. V. Testing the method on theoretical models. The case of quasi-monodisperse systems," Opt. Spektrosk. 20, 143-153 (1966).
25. D. M. Moore, F. D. Bryant, and P. Latimer, "Total scattering and absorption by spheres when m=1," J. Opt. Soc. Am. 58, 282-283 (1968).
26. N. G. Khlebtsov, "Orientational averaging of the light scattering observables in the T-matrix approach," Appl. Opt. 31, 5359-5365 (1992).
27. M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, "T-matrix computations of light scattering by nonspherical particles: a review," J. Quant. Spectrosc. Radiat. Transf. 55, 535-575 (1996).
28. Yu. I. Kutuzov and V. I. Klenin, "Calculation of integral functions of light scattering for two-layered spherical particles," Opt. Spektrosk. 55, 383-388 (1983).
29. V. I. Klenin, Thermodynamics of Systems with Flexible Chain Polymers, Saratov University Press, Saratov (1995); Elsevier, Amsterdam (1999).
30. E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973).
31. V. F. Turchin, B. P. Kozlov, and M. S. Malkevich, "Use of methods of mathematical statistics for solving incorrect problems," Usp. Fiz. Nauk 102, 1-86 (1970).
32. Yu. S. Sereda and B. P. Shtarkman, "Statistic version of solution of inverse problem for nonabsorbing transparent media," Zh. Prikl. Spektrosk. 21, 1061-1064 (1974).
33. K. S. Shifrin, V. F. Turchin, L. S. Turovtseva, and V. A. Gashko, "Reconstruction of a particle size distribution employing a scattering indicatrix by the statistic regularization method," Izv. Akad. Nauk. SSSR, Ser. FAO 8, 1268-1278 (1972).
34. N. G. Khlebtsov, "On the influence of multiple scattering in spectroturbidimetric investigations of disperse systems," Zh. Prikl. Spektrosk. 40, 320-325 (1984).
35. P. Latimer and F. Wamble, "Light scattering by aggregates of large colloidal particles," Appl. Opt. 21, 2447-2455 (1982).
36. S. Yu. Shchyogolev, N. G. Khlebtsov, and V. I. Klenin, "Taking into account the non-sphericity of particles while determining disperse system parameters by the turbidity spectra method. III. Inverse problems," Opt. Spektrosk. 43, 151-156 (1977).
37. N. G. Khlebtsov, S. Yu. Shchyogolev, V. I. Klenin, and S. Ya. Frenkel, "Taking into account the nonsphericity of particles while determining disperse system parameters by the turbidity spectra method. VI. Inverse problems for flattened out particles, stability of the method," Opt. Spektrosk. 45, 710-717 (1978).
38. A. Ya. Perelman and K. S. Shifrin, "Improvements to the spectral transparency method for determining particle-size distribution," Appl. Opt. 19, 1787-1793 (1980).
39. S. Yu. Shchyogolev and N. G. Khlebtsov, "Determination of the particle size, refractive index and concentration of biological disperse systems by the spectroturbidimetric method," in Colloid and Molecular Electrooptics 1991, B. R. Jennings and S. P. Stoylov, Eds., pp. 141-146, IOP, Bristol (1992).
40. W. Heller and E. J. Vassy, "Tyndall spectra, their significance and application," J. Chem. Phys. 14, 565-566 (1946).
41. W. Heller, H. B. Klevens, and H. Oppenheimer, "The determination of particle size from Tyndall spectra," J. Chem. Phys. 14, 566-567 (1946).
42. W. Heller, H. L. Bhatnagar, and M. Nakagaki, "Theoretical investigations on the light scattering of spheres. XIII. The "wavelength exponent" of differential turbidity spectra," J. Chem. Phys. 36, 1163-1170 (1962).
43. V. I. Klenin, "Some aspects of the problem of light scattering by bacterial suspensions," Biofizika 10, 387-388 (1965).
44. V. I. Klenin, "Insoluble particles in acetyl-cellulose solutions," Proceedings of Young Scientists, pp. 160-167, Saratov State University Press, Saratov (1965).
45. S. Yu. Shchyogolev and V. I. Klenin, "Determination of parameters of complex disperse polymer systems by turbidity spectra," Vysokomol. Soedin., Ser. A 13, 2809-2815 (1971).
46. V. I. Klenin and S. Yu. Shchyogolev, "Spectroturbidimetric titration of polymer solutions," Vysokomol. Soedin., Ser. A 13, 1919-1925 (1971).
47. V. I. Klenin and S. Yu. Shchyogolev, "Spectroturbidimetric titration of polymer solutions," J. Polym. Sci. 42, 965-972 (1973).
48. H. Masao, S. Sinji, K. Osamu, and T. Waichiro, "Simultaneous estimation of particle size, relative refractive index and concentration of lattices by turbidity measurements," Bull. Inst. Chem. Res., Kyoto Univ. 51, 104-117 (1973).
49. V. I. Klenin, L. V. Stepovik, A. B. Khairullina, and Yu. B. Chemolosov, "Determination of relative refractive index, size and concentration of erythrocytes by turbidity spectra," Biofizika 23, 658-663 (1978).
50. N. G. Khlebtsov and A. G. Melnikov, "Spectroturbidimetry of yeast cell suspensions," Zh. Prikl. Spektrosk. 47, 807-810 (1987).
51. D. H. Melik and H. S. Fogler, "Turbidimetric determination of particle size distributions of colloidal systems," J. Colloid Interface Sci. 92, 161-179 (1983).
52. N. G. Khlebtsov, A. G. Melnikov, and S. Yu. Shchyogolev, "Spectroturbidimetry of disperse systems while taking into account spectral dependence of refractive index," Kolloidn. Zh. 53, 928-933 (1991).
53. N. G. Khlebtsov, A. I. Sirota, V. I. Fomina, and M. G. Vypov, "Application of electrooptical method to investigation of polymer-containing disperse systems," Kolloidn. Zh. 52, 178-183 (1990).
54. S. Yu. Shchyogolev, N. G. Khlebtsov, and B. I. Schwartsburd, "Spectroturbidimetry as applied to biomedical and immunological investigations," Proc. SPIE 1981, 67-87 (1992).
55. I. B. Zhulin, V. I. Panasenko, S. K. Stupnikova, and S. Yu. Shchyogolev, "Investigation of microbial agglutination in suspension by spectroturbidimetric method," Biofizika 29, 857-861 (1984).
56. N. G. Khlebtsov, V. I. Fomina, and A. I. Sirota, "Electrooptical, adsorption and aggregation properties of polymer-containing cellulose dispersions," Kolloidn. Zh. 53, 160-163 (1991).
57. R. A. Dobbins and G. S. Jizmagian, "Particle size measurements based on use of mean scattering cross section," J. Opt. Soc. Am. 56, 1351-1354 (1966).
58. W. Heller and W. J. Pangonis, "Theoretical investigations on the light scattering of colloidal spheres. I. The specific turbidity," J. Chem. Phys. 26, 498-506 (1957).
59. R. M. Tabibian, W. Heller, and J. N. Epel, "Experimental investigation on the light scattering of colloidal spheres. I. The specific turbidity," J. Colloid Sci. 11, 195-213 (1956).
60. S. Yu. Shchyogolev, V. I. Klenin, and B. I. Schwartsburd, "On the morphology of new phase particles during turbidimetric titration of polymer solutions," Kolloidn. Zh. 39, 324-330 (1977).
61. R. L. Zollars, "Turbidimetric method for on-line determination of latex particle number and particle size distribution," J. Colloid Interface Sci. 74, 163-172 (1980).
62. J. Dreyer and G. Hilbig, "Korngrössenbestimmung aus der Wellenlängenabhängigkeit des Wellenlängenexponent dispergierter Teilchensysteme bei Werwendung einer dreiparametrigen Verteilungsfunktion für den Kornafbau," Plaste Kautsch. 18, 674-679 (1971).
63. D. Deirmenjian, Electromagnetic Scattering on Spherical Polydispersions, Elsevier, New York (1969).
64. F. D. Bryant and P. Latimer, "Optical efficiencies of large particles of arbitrary shape and orientation," J. Colloid Interface Sci. 30, 291-304 (1969).
65. N. G. Khlebtsov and A. G. Melnikov, "Spectroturbidimetry of polydisperse systems while taking into account the spectral dispersion of optical constants," Zh. Prikl. Spektrosk. 56, 435-440 (1992).
66. S. Yu. Shchyogolev and N. G. Khlebtsov, Use of Mini-and Microcomputers when Determining Parameters of Disperse Systems by Spectroturbidimetric Method, Saratov University Press, Saratov (1984).
67. Analytical Chemistry of Polymers - Part III, G. M. Kline, Ed., Interscience, New York (1963).
68. A. Cancellieri, C. Frontali, and E. Gratton, "Dispersion effect on turbidimetric size measurement," Biopolymers 13, 735-743 (1974).
69. I. N. Kuznetsova and Z. A. Kruglyak, "Determination of particle size of water disperse preparations by the method of Spectroturbidimetry," Khim. Farmatsevticheskii Zh. 12, 1498-1503 (1987).
70. S. Yu. Shchyogolev and I. B. Zhulin, "Effective method of cell agglutination analysis by lectins," in Lectins. Biology, Biochemistry, Clinical Biochemistry, J. Kocourek and D. L. J. Freed, Eds., Vol. 7, pp. 405-409, Sigma, St. Louis (1991).
71. P. Meakin, "Fractal aggregates," Adv. Colloid Interface Sci. 28, 249-331 (1988).
72. R. Jullien, "The application of fractals to investigation of colloidal aggregation and random deposition," New J. Chem. 14, 239-253 (1990).
73. N. G. Khlebtsov, "Spectroturbidimetry of fractal dusters: test of density correlation cutoff," Appl. Opt. 35, 4261-4270 (1996).
74. N. G. Khlebtsov and A. G. Melnikov, "Spectral transparency and wavelength exponent of a polydisperse ensemble of fractal clusters," Kolloidn. Zh. 55, 167-176 (1993).
75. P. Latimer, "Light scattering by a homogeneous sphere with radial projections," Appl. Opt. 23, 442-447 (1984).
76. P. Latimer, "Light scattering by a structured particle: The homogeneous sphere with holes," Appl. Opt. 23, 1844-1847 (1984).
77. S. Yu. Shchyogolev, N. G. Khlebtsov, V. D. Bunin, A. I. Sirota, and V. A. Bogatyrev, "Inverse problems of spectroturbidimetry of biological disperse systems with random and ordered particle orientation," Proc. SPIE 2082, 167-176 (1994).
78. N. G. Khlebtsov, A. G. Melnikov, S. Yu. Shchyogolev, V. A. Bogatyrev, and A. I. Sirota, "Anisotropic and spectral properties of biological scattering objects with the ordered particle orientation," Proc. SPIE 2082, 33-42 (1994).
79. O. V. Ignatov, N. A. Khorkina, O. M. Tsivilyova, V. D. Bunin, S. Yu. Shchyogolev, and V. V. Ignatov, "Utilization of an electro-optical method to investigate the amidase activity of microbial cells," FEMS Microbiol. Lett. 162, 105-110 (1998).
80. N. G. Khlebtsov, V. A. Bogatyrev, A. I. Sirota, and A. G. Melnikov, "On the dipole moment of bacterial cells," Biofizika 35, 173 (1990).
81. N. G. Khlebtsov, A. G. Melnikov, and V. A. Bogatyrev, "Relaxation optic phenomena in polydisperse suspensions and determination of particle sizes using transmitted light parameters," Colloids Surf., A 148, 17-28 (1999).
82. B. A. Fikhman, Microbiological Refractometry, Meditsina, Moscow (1967).