Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization

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Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization. / Makoveeva, E.; Alexandrov, D.; Ivanov, A. и др.
в: Journal of Physics A: Mathematical and Theoretical, Том 56, № 45, 455702, 10.11.2023.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

BibTeX

@article{9b9abd2cb4b3427cb1d16fc0b99e5a0b,

title = "Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization",

abstract = "Evolution of crystal ensembles in supersaturated solutions is studied at the initial and intermediate stages of bulk crystallization. An integro-differential model includes fluctuations in crystal growth rates, initial crystal-size distribution and arbitrary nucleation and growth kinetics of crystals. Two methods based on variables separation and saddle-point technique for constructing a complete analytical solution to this model are considered. Exact parametric solutions based on these methods are derived. Desupersaturation dynamics is in good agreement with the experimental data for bovine and porcine insulin. The method based on variables separation has a strong physical limitation on exponentially decaying initial distribution and leads to the distribution function increasing with time. The method based on saddle-point technique leads to a dome-shaped crystal-size distribution function decreasing with time and has no strong physical limitations. The latter circumstance makes this method more reasonable for describing the kinetics of bulk crystallization in solutions and melts.",

author = "E. Makoveeva and D. Alexandrov and A. Ivanov and I. Alexandrova",

note = "The theory under consideration and computations based on this theory were made possible due to the financial support of the Russian Science Foundation (Project No. 23-19-00337). The processing of experimental data compared with the theory was done under support of the Ministry of Science and Higher Education of the Russian Federation (Project No. FEUZ-2023-0022).",

year = "2023",

month = nov,

day = "10",

doi = "10.1088/1751-8121/ad0202",

language = "English",

volume = "56",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "Institute of Physics Publishing (IOP)",

number = "45",

}

RIS

TY - JOUR

T1 - Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization

AU - Makoveeva, E.

AU - Alexandrov, D.

AU - Ivanov, A.

AU - Alexandrova, I.

N1 - The theory under consideration and computations based on this theory were made possible due to the financial support of the Russian Science Foundation (Project No. 23-19-00337). The processing of experimental data compared with the theory was done under support of the Ministry of Science and Higher Education of the Russian Federation (Project No. FEUZ-2023-0022).

PY - 2023/11/10

Y1 - 2023/11/10

N2 - Evolution of crystal ensembles in supersaturated solutions is studied at the initial and intermediate stages of bulk crystallization. An integro-differential model includes fluctuations in crystal growth rates, initial crystal-size distribution and arbitrary nucleation and growth kinetics of crystals. Two methods based on variables separation and saddle-point technique for constructing a complete analytical solution to this model are considered. Exact parametric solutions based on these methods are derived. Desupersaturation dynamics is in good agreement with the experimental data for bovine and porcine insulin. The method based on variables separation has a strong physical limitation on exponentially decaying initial distribution and leads to the distribution function increasing with time. The method based on saddle-point technique leads to a dome-shaped crystal-size distribution function decreasing with time and has no strong physical limitations. The latter circumstance makes this method more reasonable for describing the kinetics of bulk crystallization in solutions and melts.

AB - Evolution of crystal ensembles in supersaturated solutions is studied at the initial and intermediate stages of bulk crystallization. An integro-differential model includes fluctuations in crystal growth rates, initial crystal-size distribution and arbitrary nucleation and growth kinetics of crystals. Two methods based on variables separation and saddle-point technique for constructing a complete analytical solution to this model are considered. Exact parametric solutions based on these methods are derived. Desupersaturation dynamics is in good agreement with the experimental data for bovine and porcine insulin. The method based on variables separation has a strong physical limitation on exponentially decaying initial distribution and leads to the distribution function increasing with time. The method based on saddle-point technique leads to a dome-shaped crystal-size distribution function decreasing with time and has no strong physical limitations. The latter circumstance makes this method more reasonable for describing the kinetics of bulk crystallization in solutions and melts.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001095579400001

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85179892419

U2 - 10.1088/1751-8121/ad0202

DO - 10.1088/1751-8121/ad0202

M3 - Article

VL - 56

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 45

M1 - 455702

ER -

ID: 48599446