New High-Affinity Peptide Ligands for Kv1.2 Channel: Selective Blockers and Fluorescent Probes.

Advanced molecular probes are required to study the functional activity of the Kv1.2 potassium channel in normal and pathological conditions. To address this, a fully active Kv1.

Identification of two-neuron FitzHugh-Nagumo model based on the speed-gradient and filtering.

The paper is devoted to the parameter identification problem for two-neuron FitzHugh-Nagumo models under condition when only one variable, namely, the membrane potential, is measured. Another practical assumption is that both variable derivatives cannot be measured. Finally, it is assumed that the sensor measuring the membrane potential is imprecise, and all measurements have some unknown scaling factor.

Synchronization of nonlinearly coupled networks based on circle criterion.

The problem of synchronization in networks of linear systems with nonlinear diffusive coupling and a connected undirected graph is studied. By means of a coordinate transformation, the system is reduced to the form of mean-field dynamics and a synchronization-error system. The network synchronization conditions are established based on the stability conditions of the synchronization-error system obtained using the circle criterion, and the results are used to derive the condition for synchronization in a network of neural-mass-model populations with a connected undirected graph.

Prediction of the COVID-19 spread in Russia based on SIR and SEIR models of epidemics.

An attempt is made to use the simplest epidemic models: SIR and SEIR to predict the spread of COVID-19 in Russia. Simplicity and a small number of parameters are very significant advantages of SIR and SEIR models in conditions of a lack of numerical initial data and structural incompleteness of models. The forecast of distribution of COVID-19 in Russia is carried out according to public data sets from March 10 to April 20, 2020.