ABSTRACT
Intense synaptic activity may alter the response properties of neurons in highly interconnected networks. Here we investigate whether the excitability and the intrinsic response properties of neurons in the spinal cord are affected by the increased synaptic conductance during functional network activity. Scratch episodes were induced by mechanical stimulation in the isolated carapace-spinal cord preparation from the adult turtle. Intracellular recordings revealed a dramatic increase in synaptic activity in interneurons and motoneurons during scratch activity. Superimposed slow depolarizing waves were phase-related to the rhythmic bouts of spike activity in the hip flexor nerve. The increase in synaptic conductance in interneurons and motoneurons varied with the scratch rhythm. During individual episodes, the conductance shifted smoothly with the scratch rhythm from near-resting levels to levels two to four times higher. In slice experiments, we found that even moderate increases in the conductance of motoneurons suppressed the slow afterhyperpolarization and the plateau potentials. We conclude that the excitability and the intrinsic response properties of spinal neurons are periodically quenched by high synaptic conductance during functional network activity.
Subject(s)
Interneurons/physiology , Motor Neurons/physiology , Nerve Net/physiology , Spinal Cord/physiology , Turtles/physiology , Action Potentials , Animals , Electric Stimulation , Hindlimb/innervation , Hindlimb/physiology , In Vitro Techniques , Membrane Potentials , Neural Conduction/physiology , Patch-Clamp Techniques , Physical Stimulation , Spinal Cord/cytology , Synaptic Transmission/physiologyABSTRACT
The criteria for hystheresis in the input current-voltage relation of a cylindrical dendrite, i.e. cable bistability, were studied earlier in case of the constant negative slope of the N-shaped membrane current-voltage characteristic. For a membrane with a variable negative slope of the current-voltage characteristic, only sufficient conditions of dendritic bistability were formulated: [equation: see text], where df/dV/h is the negative slope of the membrane current-voltage characteristic at zero current point, h; X is the electrotonic length of the dendrite. We propose to use as the necessary condition of bistability the above equation but with the maximal value of the negative slope df/dV/max instead of df/dV/h. Calculations illustrate that this necessary condition, with acceptable accuracy, can be used as the necessary and sufficient condition of the cable bistability when the N-shaped current-voltage characteristic of the membrane is arbitrary.
Subject(s)
Dendrites/physiology , Algorithms , Membrane Potentials , Models, NeurologicalABSTRACT
A branching structure consisting of three bistable cylindrical branches was considered. Both stable and unstable solutions for the voltage distribution in such a structure, were obtained using the method developed in our laboratory. This made it possible to calculate the input current-voltage characteristic of the bistable branching structure, including unstable segments of this characteristic. Possible stable states of the structure when its proximal end is loaded by a resistance were determined. It is shown that the binary exclusive-OR could be accomplished by the elementary branching structure of a bistable dendrite. A model with overexcitation carried out by Ca-dependent K channels was developed. It is shown that the model parameters do not fall outside the physiological range of values.
Subject(s)
Dendrites/physiology , Calcium Channels/physiology , Electric Impedance , Membrane Potentials , Models, Neurological , Potassium Channels/physiology , Synapses/physiologyABSTRACT
An adiabatic solution of the Ohmic cable equation is suggested, which reduces the non-stationary equation to a stationary form. The adiabatic length constant of the stationary equation is time-dependent. The adiabatic solutions for the boundary conditions that change in time linearly and exponentially were studied. In the latter case, the adiabatic length constant does not depend on time though it differs from the usual length constant. The cable input characteristics of exact and adiabatic solutions were compared in the cases of the voltage- and current-clamp, and electric field stimulation. The adiabatic and exact solutions are identical for the rising exponential stimuli. For the falling exponential stimuli, the adiabatic solution determines the exact asymptotic solution if the stimulus decays slower than the relaxation of initial conditions. It is propose to use linear and exponential ramp stimulation in electrotonic measurements.
Subject(s)
Thermodynamics , Models, TheoreticalABSTRACT
Exact and adiabatic electrotonic solutions [1] were calculated for reconstructed motoneurone and hippocampal interneurone in case of linear and exponential ramp stimulation by the fixed current, potential or homogenous electric field. For the rising exponential ramp the solutions are identical. In case of the decaying exponent the adiabatic solution becomes an asymptote for the exact one if the stimulus decays slower than relaxation of the initial conditions in the cell. If the stimulus decays faster, the asymptote is the current or potential axis, depending on the stimulation mode. For electrotonically short cell, the exact solution approaches the asymptote faster. The solution for the exponentially rising field does not depend on the dendritic tree configuration and depends only on the effective electrotonic length of the neurone. It could be useful to apply ramp stimulation, especially exponential ramp of the electric field, to estimate electrotonic parameters of cells.
Subject(s)
Thermodynamics , Electricity , Models, TheoreticalABSTRACT
We proposed an equation of 1D-cable with irregular and alternating shape of cross-section. This equation differs from an ordinary one for the regular cylinder by the generalized definition of electrotonic parameters. The theory is illustrated for the cable with elliptic and alternating sections. The described theory may be useful when defining electrotonic parameters from experimental values. The theory predicts that the commonly estimated values of electrotonic length constant might be higher and membrane's capacity (-)-lower than the real values. Electrotonic parameters (length constant, time constant, characteristic resistance) may be used more successfully than electric parameters of a biological cable (membrane and cytoplasm resistance, membrane capacity).
