Abstract (EN):
In this paper, a dynamical first principles model of the precipitation of hydroxyapatite (HAP) into brushite and growth of brushite is developed. The process itself is challenging since it consists of multiple phases and there exists strong nonlinear and dynamic effects between the variables. However, our objective was to build a comparatively simple and reliable model to explain the dynamical behaviour of the process. Based upon a databank of laboratory measurements of the calcium concentration in solution (on-line) and the particle size distribution (off-line) an unified model of the process for a gamma of initial concentrations of the reagents was derived as a system of ordinary differential equations of time. The performance of the model is examined with respect to prediction quality of the time trajectories of mass of calcium in solution and the average (in mass) particle size.
Language:
English
Type (Professor's evaluation):
Scientific