Events

In the middle of the last century, a promising area of research in the field of the functioning of neural networks in the cerebral cortex began to actively develop. Research in this direction has a wide practical application. However, the functioning of brain networks remains an open question today.

Hemostasis is a complex systemic reaction of the blood to damage or inflammation of the vascular endothelium. This process consists of several stages, from which two main phenomena can be distinguished: platelet aggregation and blood plasma coagulation. Many proteins are involved in the initiation, regulation, and inhibition of these processes, for example, they accelerate fibrin polymerization, platelet aggregation and activation, chemical signaling, and the propagation of coagulation autowaves. Primary cellular hemostasis in arteries, arterioles and venules is based on platelet aggregation at the site of injury.

In the middle of the last century, a promising area of research in the field of the functioning of neural networks in the cerebral cortex began to actively develop. Research in this direction has a wide practical application.

We consider the reduction of the system of Euler-Maxwell equations describing the so-called cold (electron) plasma to a one-dimensional case. This is the simplest system of equations capable of describing plasma oscillations and their breaking. It is interesting because it allows for analytical consideration.

In this paper, we make modification on the results obtained by Mitidieri and Pokhozhaev on suffic/ient conditions for the nonexistence of nontrivial weak solutions of nonlinear inequality and system with integer power of the Laplacian with nonlinearity term of the form $a(x)|\Delta^{m}u|^{q}+b(x)|u|^s$.

To describe the initial stage of hydraulic fracturing, a three-dimensional model of curvilinear crack propagation is proposed, describing the main processes: fluid movement in the crack, deformation and destruction of the rock. The simulation is based on the numerical solution of two-dimensional equations of fluid motion in a narrow channel (lubrication equations) and three-dimensional elastic equilibrium equations, for which the methods of finite and boundary elements are applied, respectively.

Mathematical and computational modeling of the cardiovascular system is increasingly giving alternatives to traditional invasive clinical procedures, and allowing for richer diagnostic metrics.

The presentation is devoted to investigating the weak solubility of the alpha-model for a fractional viscoelastic Voigt medium. The model involves the Voigt rheological relation with a left Riemann–Liouville fractional derivative, which accounts for the fluid’s memory.