Proportional Jerk: A New Measure of Motion as Applied to Eye Movements in Sleep and Waking

The third derivative of motion or the change in the rate of acceleration (also known as jerk) is examined in terms of its applicability to the study of psychophysiological function. An algorithm of this third derivative is presented to show that jerk can be derived from the arithmetic difference of two slopes which constitute the portion of motion being differentiated. By modifying the algorithm, a new parameter termed “proportional jerk’ or PJ is formulated whereby one slope is measured relative to the other slope; this PJ provides information about the smoothness of movement without being influenced by the velocity as is the traditional jerk measure. A practical application of the PJ to waking saccades and REMs in 11 human subjects revealed that REMs are significantly “jerkier’ or less smooth than waking calibration eye movements. Whereas the waking eye movements had a well-defined negative phase of the PJ, the REMs did not show such stereotypical behavior. This is in accord with previous work which showed that waking saccade velocity increases to a maximum and then decreases whereas REMs maintain their peak or near peak velocities for varying periods. It was suggested that PJ can be useful in detecting subtle temporal changes in the course of movements and may be used as a parameter of motion even when the absolute amplitude is unknown.     

Eye velocity responsiveness and its proprioceptive component in the floccular Purkinje cells of the alert pigmented rabbit

Summary Eye velocity responsiveness of floccular Purkinje cells was studied in alert, pigmented rabbits. Conjugate horizontal eye nystagmus was elicited by application of electric pulse trains (10–50 A, 30 c/s) to the optic tract through chronically implanted electrodes. Purkinje cells were sampled with an extracellular microelectrode from the flocculus, and their involvement in different oculomotor functions was specified by electrical stimulation at their recording sites. At those sites where abduction of the ipsilateral eye was elicited, the discharge frequency of simple spikes usually increased during slow eye movement to the ipsilateral side and decreased during eye movement to the contralateral side in nystagmus and after-nystagmus. Within a limited range, the discharge frequency increased linearly with eye velocity, at an average rate of 1.6 impulse s^–1/degree s^–1. An opposite directional specificity (decrease in ipsilateral and increase in contralateral eye movement) and directional nonspecificity were common at other floccular sites where local stimulation elicited downward or no eye movement. Retrobulbar anesthesia of proprioceptive afferents from one eye reduced the eye velocity responsiveness of Purkinje cells in the ipsilateral flocculus by 31%, but did not affect their responsiveness in the contralateral flocculus. These observations indicate that eye velocity input to the rabbit flocculus arises partly from peripheral receptors but mainly from the central oculomotor system, and that responsiveness of Purkinje cells to the input is organized specifically according to their functional involvement.This work was supported by a grant from the Japanese Ministry of Education, Science and Culture (57770092)     

How do monkeys view faces?—a study of eye movements

Face perception plays a crucial role in primate social communication. We have investigated the pattern of eye movements produced by rhesus monkeys (Macaca mulatta) as they viewed images of faces. Eye positions were recorded accurately using implanted eye coils, while neutral upright, inverted and scrambled images of monkey and human faces were presented on a computer screen. The monkeys exhibited a similar eye scan pattern while viewing familiar and unfamiliar monkey face images, or while viewing monkey and human face images. No differences were observed in the distribution of viewing times, number of fixations, time into the trial of first saccade to local facial features, and the temporal and spatial characteristics of viewing patterns across the facial images. However, there was a greater probability of re-fixation of the eye region of unfamiliar faces during the first few seconds of the trial suggesting that the eyes are important for the initial encoding of identity. Indeed, the highest fixation density was found in the eye region of all the face images. The viewing duration and the number of fixations per image decreased when inverted or scrambled faces were presented. The eye region in these modified images remained the primary area of fixation. However, the number of fixations directed to the eyes decreased monotonically from the upright images through the inverted versions to the scrambled face images. Nonetheless, the eyes remain the most salient facial substructure regardless of the arrangement of other features, although the extent of salience which they attain may depend both on the low level properties of the eyes and on the global arrangement of facial features. Electronic Publication     

The gap effect and inhibition of return: interactive effects on eye movement latencies

Three experiments are reported with two types of manipulations that are known to affect the latency with which subjects can initiate saccadic eye movements. The first manipulation involves the temporal relation between the offset of a visual fixation point and the onset of a peripheral target (the gap effect). The second manipulation involves the prior allocation and removal of visual attention (inhibition of return). In two experiments, the gap effect was smaller for saccades to previously attended locations than to previously unattended locations. The results suggest an important link between the two phenomena and provide new insights into the brain mechanisms underlying visual attention and eye movements.     

Human 3-D aVOR with and without otolith stimulation

We describe in detail the frequency response of the human three-dimensional angular vestibulo-ocular response (3-D aVOR) over a frequency range of 0.05-1 Hz. Gain and phase of the human aVOR were determined for passive head rotations in the dark, with the rotation axis either aligned with or perpendicular to the direction of gravity (earth-vertical or earth-horizontal). In the latter case, the oscillations dynamically stimulated both the otolith organs and the semi-circular canals. We conducted experiments in pitch and yaw, and compared the results with previously-published roll data. Regardless of the axis of rotation and the orientation of the subject, the gain in aVOR increased with frequency to about 0.3 Hz, and was approximately constant from 0.3 to 1 Hz. The aVOR gain during pitch and yaw rotations was larger than during roll rotations. Otolith and canal cues combined differently depending upon the axis of rotation: for torsional and pitch rotations, aVOR gain was higher with otolith input; for yaw rotations the aVOR was not affected by otolith stimulation. There was a phase lead in all three dimensions for frequencies below 0.3 Hz when only the canals were stimulated. For roll and pitch rotations this phase lead vanished with dynamic otolith stimulation. In contrast, the horizontal phase showed no improvement with additional otolith input during yaw rotations. The lack of a significant otolith contribution to the yaw aVOR was observed when subjects were supine, prone or lying on their sides. Our results confirm studies with less-natural stimuli (off-vertical axis rotation) that the otoliths contribute a head-rotation signal to the aVOR. However, the magnitude of the contribution depends on the axis of rotation, with the gain in otolith-canal cross-coupling being smallest for yaw axis rotations. This could be because, in humans, typical yaw head movements will stimulate the otoliths to a much lesser extent then typical pitch and roll head movements.     

针刺过程中有衣小泡的形成、形态特征及其数量变化的研究

针刺大鼠“人中”、“四白”穴使之产生明显镇痛效果后,再将针刺时间分别延长至1、2、4、6、8、10、12h,到预定时间立即将动物灌流杀死取材,采用定量电镜方法观察计数了三叉神经尾侧脊束核胶状质亚核内各种有衣小泡的数量、形态以及在不同针刺时间内数量的变化。结果发现:大单壁有衣小泡的形成与针刺时间无明显正比例关系;而双壁有衣小泡则显然与之不同,它不仅形态多样,数目也随针刺时间而改变。本文将观察到的双壁有衣小泡归纳为以下五种类型:1、尚未与相邻两终末质膜脱离的孤立存在者。2、游离于终末内孤立存在者。3、与终末质膜相连且融合而成簇存在者;4、游离于终末内融合成簇者;5、树突棘凸入另一轴突或树突内并与之共同形成的不典型的双壁有衣小泡簇。本研究还发现,在针刺过程中双壁有衣小泡在1～8h内的形成与时间成正比,即1h时开始增多,4h显著增多,8h达高峰;以后开始下降,10h已恢复到4h的水平,到12h恢复到针刺前的状态。对照组仅见少数孤立的双壁有衣小泡,其形成基本上不随时间而变化。本文认为双壁有衣小泡的形成,是较大单壁有衣小泡的形成更为有效地继大致密核心小泡非突触部位胞吐之后膜再循环的一条新途径。     

Equalization of asymmetries of tonus in the optomotor system of rabbits

Summary Turning a rabbit on a turn-table for a few degrees induces compensatory eye-movements and results in an asymmetry of tonus in the optomotor system. If the visual input is discontinued (darkness), this asymmetry decays and the eyes drift back to the mid-position within 12–18 sec. The equalization of such asymmetries of tonus under normal conditions and under curare is described. Tonus asymmetries induced by tilting the animals about the longitudinal axis are neither compensated under visual, nor under non-visual, conditions. Recordings were taken from oculomotor neurons, and changes of their firing frequencies were used as a measure for eye movements.A preliminary report was given at the spring meeting of the German Physiological Society 1973.Supported by the Deutsche Forschungsgemeinschaft, SFB 33.     

Physiological Correlates of Mental Activity: Eye Movements, Alpha, and Heart Rate During Imagining, Suppression, Concentration, Search, and Choice

Rapid eye movements (REMs), EEG alpha, and tonic heart rate (HR) were measured during 6 types of cognitive tasks—imagining a liked person, suppressing thoughts of the person, searching one's mind for alternative solutions, arithmetic involving little concentration, problems involving high concentration, and choosing a preferred activity. The latter 3 required verbalization, the former 3 did not. Only suppression and search did not differ significantly from each other on at least one physiological variable. Imagining, suppression, and search yielded few REMs, high alpha, and low HR. High concentration yielded many REMs, low alpha, and high HR. Choice yielded many REMs, low alpha, and intermediate HR. Low concentration yielded few REMs, low alpha, and high HR. Suppression produced somewhat less alpha than imagining but did not differ significantly in REMs.     

Linearity,symmetry and additivity of the human eye-movement response to maintained unilateral and bilateral surface galvanic (DC) vestibular stimulation

Recent studies have shown that, although responses to long-duration, constant-current surface galvanic vestibular stimulation (GVS) show substantial interindividual variability, individual subjects show a reliable, repeatable, idiosyncratic oculomotor response pattern to GVS. It follows that GVS may be a more reliable stimulus than may have been anticipated from the literature. The aim of the present study was to examine the metrics of 3D eye-movement responses to maintained (120 s), unilateral and bilateral surface GVS. Eye movements were measured using computerised video-oculography. Two experiments were conducted: Experiment 1 examined whether the normal response is linear over increasing levels of current; and Experiment 2 examined (1) whether the normal response to surface GVS is symmetrical when comparing stimulated sides, (2) whether the normal response to surface GVS is symmetrical when the polarity of the stimulating current was reversed, and (3) whether there is additivity in the normal response to combinations of unilateral/bilateral surface GVS. Five subjects participated in Experiment 1 and eight subjects participated in Experiment 2. In both experiments, the onset of stimulation produced characteristic eye-movement responses: changes in torsional position with the upper pole of both eyes rolling towards the anode and away from the cathode; together with horizontal and torsional nystagmus with slow phases towards the anode and away from the cathode; and negligible vertical nystagmus. These responses reversed direction at stimulus offset. In the fixation condition of Experiment 1, the magnitude of ocular torsional position (OTP) and torsional nystagmus responses showed a linear relationship over conditions of increasing current strength, as did OTP, torsional and horizontal nystagmus responses in darkness. The results of Experiment 2 showed that responses to unilateral stimulation are symmetrical between stimulated sides, symmetrical between stimulating polarities, and additive (with respect to responses to bilateral stimulation). The principles derived from these findings, as well as those of recent studies, provide a foundation for future work investigating eye-movement responses to surface GVS in patients with known types of vestibular dysfunction. Electronic Publication