Modeling of heat and mass transfer processes in the melting zone of polymers

Issues related to the melting of the polymer mixture in cylindrical channels are considered. The peculiarity of the problem solved in this work is the presence in the channel of two-phase flows of a solid-liquid mixture under the influence of heating the outer surface of the cylinder and dissipative forces arising from friction of the mixture against the walls of this channel. The problems of heating the mixture, melting the polymer and determining the velocity of the phase transition boundary in the conditions of a mobile solid mixture due to the rotational motion of the mechanism that feeds the mixture into a cylindrical channel are considered. Mathematical models of certain processes are systems of differential equations with partial derivatives of mathematical physics; the corresponding boundary value problems are solved using numerical-analytical methods, which made it possible to obtain solutions in quadratures. The results of computer modeling of the developed algorithms are given

Single antibody detection in a DNA origami nanoantenna

DNA nanotechnology offers new biosensing approaches by templating different sensor and transducer components. Here, we combine DNA origami nanoantennas with label-free antibody detection by incorporating a nanoswitch in the plasmonic hotspot of the nanoantenna. The nanoswitch contains two antigens that are displaced by antibody binding, thereby eliciting a fluorescent signal. Single-antibody detection is demonstrated with a DNA origami integrated anti-digoxigenin antibody nanoswitch. In combination with the nanoantenna, the signal generated by the antibody is additionally amplified. This allows the detection of single antibodies on a portable smartphone microscope. Overall, fluorescence-enhanced antibody detection in DNA origami nanoantennas shows that fluorescence-enhanced biosensing can be expanded beyond the scope of the nucleic acids realm

Tuning color and photostability of perylene diimides inside polymer nanoparticles: towards biodegradable substitutes of quantum dots

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[2+2]-Photocycloaddition of <i>N</i>‑Benzylmaleimide to Alkenes As an Approach to Functional 3‑Azabicyclo[3.2.0]heptanes

A one-step synthesis of functionalized 3-azabicyclo[3.2.0]­heptanes by [2+2]-photochemical intermolecular cycloaddition of <i>N</i>-benzylmaleimide to alkenes was elaborated. The obtained compounds were easily transformed into the bi- and tricyclic analogues of piperidine, morpholine, piperazine, and GABA, which are advanced building blocks for drug discovery