[Electrotonic conduction of excitation and inhibition along the dendritic fiber with the uniformly distributed synaptic conductance]. / Elektrotonicheskoe provedeniie vozbuzhdenia i tormozheniia po dendritnomu voloknu s ravnomerno raspredelennoi po ego dline sinapticheskoi provodimost'iu.

The existence of an optimum radius of fibre is shown, when the physical parameters of the intracellular medium and the nonexcitable dendritic membrane are known and the length and load resistance are fixed. This provides the maximum potential for the proximal end of the fibre if synaptic conductance is distributed uniformly along the fibre. A formula for calculating the soma potential of the whole neuron is proposed. The optimal ratio l/lambda is 0.9193 ... if the volume of the fibre and synaptic conductivity are fixed.

[Dependence of the efficacy of slowing on the localization of inhibitory synapses on neuronal dendrites. Mathematical modeling]. / Zavisimost' éffektivnosti tormozheniia ot lokalizatsii tormoznykh sinapsov na dendritakh neirona. Matematicheskoe modelirovanie.

In the case of somatic inhibition the maximum efficiency of inhibition is observed when exciting inputs are situated distal of the long dendrite. For fibres of a medium length simultaneous inhibition in the soma and the distal end is more efficient. Excitant synapsis near the soma produce the best inhibition only at some fixed distance. This effect can explain the morphological fact of rarefaction of synaptic contacts near soma.

[Effectiveness of synaptic excitation of nerve cells depending on duration]. / Effektivnost' sinapticheskogo vozbuzhdeniia nervnoi kletki v zavisimosti ot ego dlitel'nosti.

With a model of a dendritic fibre it was established that with fixed expenditure of mediator the optimal duration of synaptic discharge exists and provides for the soma maximum potential. The estimate of the optimal discharge duration for real nerve cell is near to the experimental measurement.

[Optimum geometric parameters of the dendrite process]. / Optimal'nye geometricheskie parametry dendritnogo shipika.

Optimal radius of dendritic spine steam is calculated under constant synaptic excitation using three criteria: maximum of excitatory postsynaptic potential (EPSP), maximal rate of EPSP change due to little change of spine steam radius and maximal rate of EPSP change due to little change of synaptic conductance.

[Condition of optimum conduction of synaptic excitation along the dendritic fiber]. / Uslovie optimal'nogo provedeniia sinapticheskogo vozbuzhdeniia po dendritnomu voloknu.

Existence of an optimum radius of fibre is shown, when physical parameters of the intracellular medium and the nonexcitable dendritic membrane are determined and the length and load resistances are fixed. It provides the maximum potential for one end of the fibre if synaptic conductance is determined for another one. Conductance of excitation along the dendritic fibre of changing thickness is optimum for little synaptic conductance when the fibre radius increases and for high conductance when the radius decreases. The formula for calculating an optimum dendritic spine neck radius is proposed.

[Analysis of geometric factors determining the parameters of an extracellularly recorded pyramidal neuron action potential]. / Analiz geometricheskikh faktorov, opredeliaiushchikh parametry registriruemogo vnekletochnogo potentsiala deistviia piramidnogo neirona.

Calculation of general extracellular field characteristics of a pyramidal neuron during generation of action potential included solution of the Laplas equation for extracellular field and Hodgkin--Huxley equations for electrotonic conduction along dendrites and for excitation of soma. The results were compared with available experimental data. The general factor for action potential amplitude near the soma seems to involve the distance from the soma rather than its size.