Events

Speaker: Nail Sadekov, PhD student of the Interdisciplinary Scientific Center "Mathematical Modeling in Biomedicine" of the Peoples Friendship University of Russia.

Quantum graphs with infinitely many vertices will be discussed.

In the framework of the seminar, we will consider the Cohen-Macaulay and shelling simplicial complexes, study the construction of the Stanley-Reisner ring, and also formulate the theorems of Hochster (without proof), Reisner and Mankrs (with outline of the proofs).

Many heart diseases are associated with arrhythmias of various nature. Often arrhythmias can be initiated not only by disorders of the conductive properties of cardiac muscle, myocardium, in the wall of the heart chambers but also by the local disorders of its mechanical characteristics.

The network of fibroblastic reticular cells (FRC) is a rather complex structure from the point of view of formation. Therefore, in order to best reproduce its topology, experiments were conducted with various algorithms for its formation, in search of the best option.

We prove nonexistence of nontrivial nonnegative solutions to inequalities of the form div(A(x,u,Du)Du)≥f(u) in Rn under some growth bounds for functions A and f, which generalize conditions obtained by L. D’Ambrosio, E. Mitidieri (2012).

On some nonstandard boundary value problems of field theory.

We will discuss neural field models and wave propagation in the brain cortex.

At the seminar we will continue to study the following classical concepts and constructions of geometric combinatorics, commutative algebra and algebraic topology..

We study the Cauchy problem for nonlinear Schrodinger equation whose coordinate space is the segment.

The present talk serves as an introduction and an overview. We discuss the notion of anomalous diffusion, models of anomalous diffusion based on the use of Continuous Time Random Walks (CTRWs), evolution equations arising in such models.