A Fractal Analysis of the Effect of Titanium Dioxides on the Biological Properties of Bioinorganic Composite Materials

The study is devoted to the problem of creating environmentally friendly materials by using a new generation of composites based on biodegradable biocompatible polymer matrices with the possibility of long-term controlled targeted release of nutrients and bioprotective substances. A technique and an algorithm for using fractal analysis to assess the biological properties of the chitosan–titanium-dioxide composite, which is a bioinorganic composite material used in agriculture to produce highly effective complex fertilizers, is developed. The developed algorithm differs from analogues in the use of skeletons for calculating the fractal dimension of microphotographs. The fractal and mechanical properties of organic/inorganic films of the bioinorganic chitosan–titanium-dioxide composite material are studied. The obtained results are essential for assessing the characteristics of the bioinorganic composite material, such as the biodegradability, biocompatibility, and environmental safety, which are important for environmental protection. The existence of a relationship between the coefficients of asymmetry and kurtosis of the fractal dimension of the chitosan film microphotographs and the percentage of titanium dioxide in them is established. The results of studying the mechanical properties of the films of the chitosan–titanium-dioxide composite allow one to conclude that titanium dioxide impurities have an effect on the strength of the films.