Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101804
Title: On the theory of crystal growth in metastable systems with biomedical applications: Protein and insulin crystallization
Authors: Alexandrov, D. V.
Nizovtseva, I. G.
Issue Date: 2019
Publisher: Royal Society Publishing
Citation: Alexandrov D. V. On the theory of crystal growth in metastable systems with biomedical applications: Protein and insulin crystallization / D. V. Alexandrov, I. G. Nizovtseva. — DOI 10.1098/rsta.2018.0214 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2019. — Vol. 377. — Iss. 2143. — 20180214.
Abstract: A generalized theory of nucleation and growth of crystals in a metastable (supercooled or supersaturated) liquid is developed taking into account two principal effects: The diffusion mechanism of the particle-size distribution function in the space of particle radii and the unsteady-state growth rates of individual crystals induced by fluctuations in external temperature or concentration field. A system of the Fokker-Planck and balance integro-differential equations is formulated and analytically solved in a parametric form for arbitrary nucleation kinetics and arbitrary growth rates of individual crystals. The particle-size distribution function and system metastability are found in an explicit form. The Weber-Volmer-Frenkel-Zel'dovich and Meirs kinetic mechanisms, as well as the unsteady-state growth rates of nuclei (Alexandrov & Alexandrova 2019 Phil. Trans. R. Soc. A 377, 20180209 (doi:10.1098/rsta.2018.0209)), are considered as special cases. Some potential biomedical applications of the present theory for crystal growth from supersaturated solutions are discussed. The theory is compared with experimental data on protein and insulin crystallization (growth dynamics of the proteins lysozyme and canavalin as well as of bovine and porcine insulin is considered). The hat-shaped particle-size distribution functions for lysozyme and canavalin crystals as well as for bovine and porcine insulin are found. This article is part of the theme issue 'Heterogeneous materials: Metastable and non-ergodic internal structures'. ©2019 The Author(s)Published by the Royal Society.
Keywords: CRYSTAL GROWTH
METASTABLE LIQUID
NUCLEATION
PHASE TRANSFORMATION
CRYSTAL GROWTH
DISTRIBUTION FUNCTIONS
ENZYMES
INSULIN
INTEGRODIFFERENTIAL EQUATIONS
LIGHT TRANSMISSION
MAMMALS
MEDICAL APPLICATIONS
NUCLEATION
PARTICLE SIZE
PARTICLE SIZE ANALYSIS
PHASE TRANSITIONS
SIZE DISTRIBUTION
BIOMEDICAL APPLICATIONS
CONCENTRATION FIELDS
EXTERNAL TEMPERATURE
HETEROGENEOUS MATERIALS
METASTABLE LIQUID
NUCLEATION AND GROWTH
SUPERSATURATED SOLUTIONS
THEORY OF CRYSTAL GROWTH
GROWTH KINETICS
INSULIN
ANIMAL
CHEMISTRY
CRYSTALLIZATION
HUMAN
MEDICAL RESEARCH
PHASE TRANSITION
ANIMALS
BIOMEDICAL RESEARCH
CRYSTALLIZATION
HUMANS
INSULIN
PHASE TRANSITION
URI: http://hdl.handle.net/10995/101804
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85062411968
PURE ID: 9063585
6775bb9b-e9d2-4870-95bd-44767687972e
ISSN: 1364503X
DOI: 10.1098/rsta.2018.0214
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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