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Biomedical subjects

E V Grigorieva

Publications and source records attributed to E V Grigorieva.

3 recordsLinked to original sources

Dynamical control: comparison of map and continuous-flow approaches.

Continuous and pulsed forms of control of a multistable system are compared directly, both theoretically and numerically, taking as an example the switching of a periodically driven class-B laser between its stable and unstable pulsing regimes. It is shown that continuous control is the more energy efficient. This result is illuminated by making use of the close correspondence that exists between the problems of energy-optimal control and the stability of a steady state.

Lasers↗

Spatiotemporal structures in a model with delay and diffusion.

Pattern formation described by differential-difference equations with diffusion is investigated. It is shown that an arbitrarily small diffusion induces space-time turbulence just at the instability threshold of the homogeneous stationary solution. We prove this property by deriving a complex Ginzburg-Landau equation on the basis of normal form analysis. Well above threshold, such turbulent structures give way to synchronized states ordered by spirals and targets. This secondary instability can be understood with an asymptotic method representing the system as a cellular automaton network.

Biophysics↗

Proteoglycan composition in cell nuclei of mouse hepatoma.

Cell nuclei of mouse hepatoma contain various proteoglycans (PG) which include heparan sulfate proteoglycan (HS-PG), dermatan sulfate proteoglycan (DS-PG), and chondroitin sulfate proteoglycan (CS AC-PG). The latter is not found in cell nuclei of normal mouse liver. Heparan sulfate (HS) and dermatan sulfate (DS) are the main constituents of carbohydrate chains of nuclear proteoglycans of tumor and normal cells, respectively. Changes in the composition of nuclear PG during malignant transformation are discussed considering the concept of their possible involvement in the regulation of cell mitotic activity.

Animals↗