Retrospective analysis and forecasting of the spread of viruses in real time: the case of COVID-19 in St. Petersburg and Moscow in 2020-2021.

The aim of the study is to apply mathematical methods to generate forecasts of the dynamics of random values of the percentage increase in the total number of infected people and the percentage increase in the total number of recovered and deceased patients. The obtained forecasts are used for retrospective forecasting of COVID-19 epidemic process dynamics in St. Petersburg and in Moscow.

[Comorbid anxiety disorders in patients with neurological pathology: current state of the problem and the role of etifoxine in treatment strategy].

The article presents theses of the resolution of the Interdisciplinary Council of Experts in Psychiatry and Neurology (Moscow, 2024) on the issue of comorbid anxiety disorders (AD) in patients with neurological pathologies. The authors highlight the high prevalence of comorbid ADs and their significant negative impact on the course of underlying diseases, such as epilepsy, pain syndromes and post-stroke conditions. Modern approaches to the diagnosis and treatment of ADs in this group of patients are discussed.

Helical Luttinger Liquid on a Space-Time Lattice.

The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model on a one-dimensional lattice have failed to reproduce the established bosonization results because of the fermion-doubling obstruction: a local and symmetry-preserving discretization of the Hamiltonian introduces a spurious second species of low-energy excitations, while a nonlocal discretization opens a single-particle gap at the Dirac point. Here, we show how to work around this obstruction by discretizing both space and time to obtain a local Lagrangian for a helical Luttinger liquid with Hubbard interaction.

Five-year follow-up after neurosurgery complicated by facial neuropathy.

Background: Botulinum toxin A (BTA) injections are effective for facial neuropathy. However, there is insufficient number of studies devoted to long-term management of these patients.

Objective: To evaluate the effectiveness and safety of BTA therapy in patients with facial neuropathy after neurosurgical interventions.