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Mathematical model of biocrystal growth under a thermal control field
Authors:V P Ginkin  S M Ganina  V I Strelov  I Zh Bezbakh  B G Zakharov
Institution:(1) State Scientific Center of the Russian Federation, Leypunsky Institute for Physics and Power Engineering, pl. Bondarenko 1, Obninsk, Kaluzhskaya oblast, 249033, Russia;(2) Research Center for Space Materials Science, Shubnikov Institute of Crystallography, Russian Academy of Sciences, Akademicheskaya ul. 8, Kaluga, 248640, Russia
Abstract:A mathematical model for protein lysozyme crystallization from an aqueous solution, caused by the spatial distribution of a precipitant (NaCl) and the point control action of temperature, was constructed, and numerical studies were performed. The mathematical model describes the formation of crystal nuclei and their growth as a function of the local supersaturation, as well as heat-and-mass transfer in the entire solution region, including protein crystals. The heat-and-mass transfer is described by Navier-Stokes equations in the Boussinesq approximation, taking into account thermogravitational and concentration convection.
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