Controlling and stabilizing unpredictable behavior of metabolic reactions and carcinogenesis in biological systems

Nonlinear Dynamics - Developing new designs and optimization of the cancer treatment is extremely important task. In this work, the nonlinear multi-scale diffusion cancer invasion model that...     

Contact Interaction of Faces of the Plane Crack under Harmonic Loading

The present work is devoted to the solution of the three-dimensional fracture mechanics problem for a linear elastic, homogeneous and isotropic solid with a stationary plane crack under normal time-harmonic loading. The problem has been solved by the method of boundary integral equations with the allowance for the contact interaction of the opposite faces of the crack. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Analysis of critical strains and loads in layered composites

The present work is devoted to investigation of the compressive fracture for piecewise homogeneous materials with specific kinds of delaminations (defects with connected edges). The critical buckling strains and loads at which ply instability in laminated composites occurs under uniaxial and biaxial compression were evaluated. Different types of layers (linear elastic, elastic-plastic, hyper-elastic incompressible) were investigated. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Exploring Highly Efficient Broadband Self-Trapped-Exciton Luminophors: from 0D to 3D Materials

The review summarizes our recent reports on brightly-emitting materials with varied dimensionality (3D, 2D, 0D) synthesized using “green” chemistry and exhibiting highly efficient photoluminescence (PL) originating from self-trapped exciton (STE) states. The discussion starts with 0D emitters, in particular, ternary indium-based colloidal quantum dots, continues with 2D materials, focusing on single-layer polyheptazine carbon nitride, and further evolves to 3D luminophores, the latter exemplified by lead-free double halide perovskites. The review shows the broadband STE PL to be an inherent feature of many materials produced in mild conditions by “green” chemistry, outlining PL features general for these STE emitters and differences in their photophysical properties. The review is concluded with an outlook on the challenges in the field of STE PL emission and the most promising venues for future research.     

Elastodynamic Problem of an Interface Linear Crack under Harmonic Loading

The present work is devoted to application of boundary integral equations to the 2D problem for a linear crack located on the bimaterial interface under harmonic loading. The system of linear algebraic equations is derived to solve the problem numerically. The distribution of the displacements and tractions at the bonding interface and the surface of the crack are obtained for the case of the tension–compression wave which propagates normally to the interface. The results are compared with those obtained for the static case. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

[Ge9{Si(SiMe3)3}2{Ge(SiMe3)3}]–: The Mixed Substituted Metalloid Germanium Cluster and the Intermetalloid Cluster [ZnGe18{Si(SiMe3)3}4{Ge(SiMe3)3}2]

The novel metalloid germanium cluster [Ge₉(Hyp)₂Hyp^Ge]^– ( 1 ) was synthesized, exhibiting two different bulky groups [Hyp = Si(SiMe₃)₃; Hyp^Ge = Ge(SiMe₃)₃]. Further reaction of 1 with ZnCl₂ gives the derivative [ZnGe₁₈(Hyp)₄(Hyp^Ge)₂] ( 2 ) in good yield, showing that the substitution of Si(SiMe₃)₃ by Ge(SiMe₃)₃ within a metalloid Ge₉R₃^– compound leads to a comparable reactivity. 1 and 2 are characterized by NMR spectroscopy, mass spectrometry ( 1 ) and single crystal structure analyses ( 2 ). 1 and 2 are the first metalloid germanium clusters bearing germyl groups.     

Cyclic diarylheptanoids deoxycymodienol and isotedarene A from Zostera marina (Zosteraceae)

A first phytochemical investigation of apolar natural products of the seagrass Zostera marina L. (Zosteraceae) yielded cymodienol, a cyclic diarylheptanoid so far only known from the seagrass Cymodocea nodosa (Ucria) Asch. (Cymodoceaceae) and a previously undescribed diaryheptanoid, isotedearene A, which is closely related to tedarene A, a natural product previously described from the neotropic sponge Tedania ignis (Duchassaing & Michelotti, 1864) (Tedaniidae). Structures were established by mass spectrometry and extensive 1D and 2D NMR experiments.