Mathematical model of biocrystal growth under a thermal control field

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.