VIVIANA RADU, SIMONA BACAITA, ANCUTA ULINIUC, MARCEL POPA, SIDONIA SUSANU FRACTAL HYDRODYNAMIC MODEL FOR DRUG RELEASE PROCESSES FROM STARCH BASED HYDROGELS Assuming that the “structural” elements of a multiphase fluid (hydrogel, drug or fluid particles) move on continuous and non-differentiable curves (fractal curves), a new theoretical model that describes the drug release processes from polymeric hydrogels is established. This model, namely fractal hydrodynamic model, is based on two equations: the momentum and probability density conservation laws. The fractal potential, from the momentum conservation law, is a measure of the non-differentiability of the movement curves and controls the drug release processes. The model allows us to evaluate some characteristics of the hydrogel network, such as a distribution parameter for drug particle inside hydrogel. The novelty of this approach is that the system complexity is replaced by fractality, eliminating thus the whole classical “arsenal” of quantities from the standard physics based on the assumption of continuity and differentiability of physical quantities (differentiable physics).
Keywords: fractal hydrodynamic, drug release, polymer, hydrogel