Irina Svir

A new approach to the determination of the stellate neuron activity function in rat’s brain

In this work, we present the results of a mathematical modelling of NO· release by neurons and its transport in the brain by diffusion. The model is applied to analyze the experimental data on NO· release from a neuron monitored during its patch-clamp stimulation by an ultramicroelectrode introduced into a slice of living rat’s brain. The neuron activity function was obtained by numerical deconvolution of the experimental data using the response function of the electrode to an instantaneous spike of neuronal activity. The Gaussian decomposition of NO· release activity function allows qualitative and quantitative conclusions to be drawn about neuron activity. Since the integral activity function is readily obtained by deconvolution, the decomposition can be performed using other more relevant descriptions of NO· bursts emerging from active neurons.

Simulation of the double hemicylinder electrode system through conformal mapping technique. Application to steady-state electrogenerated chemiluminescence

Using conformal mapping techniques for the simulation of 1Dor 2D-electrochemical problems at microelectrodes represents the most efficient aqd easiest way of obtaining an accurate numerical solution for diffusion at microelectrodes or microelectrode assemblies. Furthermore, conformal mapping techniques often allow obtaining the exact solution of the problem. The analytical expressions for the current and electrogenerated chemiluminescence (ECL) intensity for the electrochemical cell with two hemicylinders are presented here. We consider ECL processes in electrochemical cell with two parallel microhemicylinders with radii rI and r, respectively and with the gap g between the electrodes (Fig. la):

KinFitSim: a powerful kinetic simulator and mechanism fitting tool

The mathematical package for simulation of kinetic mechanisms and fitting experimental data (KinFitSim) is presented. The KinFitSim package consists of two major parts. The first part is the kinetic simulator (KS) featuring an advanced kinetic mechanism compilation algorithm and an automatic simulation procedure itself, and the second part is the fitting simulator (FS) for automated fitting of the simulated response of a chemical system with the experimental one.