Theoretical Basis of Quantum-Mechanical Modeling of Functional Nanostructures

The paper presents an analytical review of theoretical methods for modeling functional nanostructures. The main evolutionary changes in the approaches of quantum-mechanical modeling are described. The foundations of the first-principal theory are considered, including the stationery and time-dependent Schrödinger equations, wave functions, the form of writing energy operators, and the principles of solving equations. The idea and specifics of describing the motion and interaction of nuclei and electrons in the framework of the theory of the electron density functional are presented. Common approximations and approaches in the methods of quantum mechanics are presented, including the Born–Oppenheimer approximation, the Hartree–Fock approximation, the Thomas–Fermi theory, the Hohenberg–Kohn theorems, and the Kohn–Sham formalism. Various options for describing the exchange–correlation energy in the theory of the electron density functional are considered, such as the local density approximation, generalized and meta-generalized gradient approximations, and hybridization of the generalized gradient method. The development of methods of quantum mechanics to quantum molecular dynamics or the dynamics of Car–Parrinello is shown. The basic idea of combining classical molecular modeling with calculations of the electronic structure, which is reflected in the potentials of the embedded atom, is described

Vaterite coatings on electrospun polymeric fibers for biomedical applications

The process of porous calcium carbonate (CaCO3) covering on electrospun poly(ε‐caprolactone) (PCL) fibers is described in this study. Uniform CaCO3 coatings, composed of vaterite microparticles and its aggregates, were formed on PCL fibers by mineral precipitation from solution under ultrasonic treatment. The porous structure of CaCO3 in vaterite polymorphic form is useful for loading of various substances (drugs and nanoparticles), and this property makes vaterite an appropriate material for design of drug delivery systems. Such mineralization was implemented to attain therapeutic and/or biological activity of tissue engineering scaffolds based on electrospun PCL, by means of CaCO3 coatings. Various structures and polymorphs of CaCO3 coatings were obtained by variation of growth conditions (time of fiber incubation in work solution, ultrasonic treatment of this system). Coating homogeneity, CaCO3 polymorphic form, morphology, and CaCO3 mass can be controlled by number of successive stages of fibrous material treatment. Cytotoxicity tests showed that PCL fibers mineralized with CaCO3 did not release substances toxic for cells. SEM images of PCL/CaCO3 scaffolds cultured with cells demonstrate that scaffolds supported cell adhesion and spreading. The presented results show the new technique of controlled PCL scaffold mineralization with vaterite, and an opportunity of using PCL/CaCO3 as scaffolds for tissue engineering