Summation

About: Summation is a research topic. Over the lifetime, 954 publications have been published within this topic receiving 45593 citations. The topic is also known as: summation & sum of a sequence.

Transducer action of isolated frog muscle spindle evoked by pseudorandom noise stimuli.

Abstract: The dynamic response properties of the isolated frog muscle spindle receptor were investigated by recording the receptor potential evoked by pseudorandom noise (PRN) stimuli. The entire dynamic range of the receptor was determined by measuring the sensory response either at different intensities of the PRN stimulus (sigma = 8-30 microns) around a constant mean length or at the same intensity while varying the mean length from resting length L0 up to L0 + 150 microns. The 3-dB bandwidth of the test signal was 130 Hz. Random stimuli often evoked brief receptor potentials with variable size but characteristic shape. This shape contained a fast depolarization transient of the receptor potential during the stretching phase of the stimulus and a slowly decaying repolarization transient during release of stretch. The depolarization transient rose faster in proportion to the increasing amplitude of the receptor potential, so that larger receptor potentials were more phasic in character than smaller ones. The repolarization transient exhibited two segments of different exponential decay: The first brief repolarization phase lasted for 5 ms; its decline (tau = 2-5 ms) was faster for larger receptor potentials. The second slowly decaying repolarization transient was the same for different receptor potential amplitudes (tau = 47 ms). Consequently, the slow repolarization transients of succeeding receptor potentials displayed temporal summation. Since the amplitude and shape of the receptor potential remained constant during repeated sequences of PRN stimuli, this test stimulus was the most appropriate for the investigation of dynamic response properties under stationary conditions. Long-term stimulation caused a small shift of the mean membrane voltage towards hyperpolarizing values. This finding together with the marked "off effect" after termination of the stimulus indicate the action of an electrogenic pumping mechanism. The dynamic range of the muscle spindle receptor extended from resting length L0 up to L0 + 100 microns. Within this range static prestretches placed a bias upon the transducing site and effectively enhanced the amplitude of the receptor potential. Further prestretch beyond the dynamic region kept the receptor potential constant at its maximum amplitude. The receptor potential amplitude distribution was not symmetrical about the mean but was skewed in favor of depolarization values responding to the stretch trajectories of the PRN stimulus. Variation of the operating point by increasing the static prestretch also shifted the mode of the response distribution towards depolarization.(ABSTRACT TRUNCATED AT 400 WORDS)

ON SPATIAL SUMMATION IN THE TACTUAL SENSE A psychophysical and neurophysiological study

Abstract: Franzen, O. On spatial summation in the tactual sense. A psychophysical and neurophysiological study. Scand. 1. Psychol., 1969,10, 193–208.—Individual magnitude estimation scales of apparent intensity of a 300 c/s vibration applied to the volar aspect of the finger-tip as a function of displacement and the number of fingers stimulated were obtained. Spatial summation seems to take place with a lawful increase in perceived intensity as two and three adjacent sensory channels are excited at the same time. Median nerve compound action potentials following electrical stimulation of the index and middle fingers were recorded. A mathematical model is presented to describe and predict spatial summation. The results are interpreted in terms of funneling action of nervous tissue.