Models of the saccadic eye movement control system

1. A sequence of four models is proposed for the saccadic eye movement control system. The models become increasingly complex as they are made to respond to increasingly more complicated target movements in accordance with experimental results. Compatibility with neurological structure and function is stressed in the formation of the models. In each case, the elements of the models are constructed to conform as closely as possible to neuroanatomical structures and behave in a way that has been established or suggested by neurophysiology.
2. The dynamic behavior of the mechanics of the extraocular muscles and eyeball suspensory tissues has been established by recording from oculomotoneurons in alert monkeys. The transfer function of this mechanical system is used in these models.
3. Recent experiments on the neural circuits in the brain stem that are responsible for saccadic eye movements suggest an arrangement of the premotor circuitry that contains two principal neural networks; an integrator and a pulse generator. This circuitry is used in the models.
4. When the above modifications are made to existing models of the saccadic system, they remove the necessity of supposing that the visual information is sampled by the nervous system. The models do not include a sampler although the saccadic pulse generator still makes the overall system behavior similar to that of a sampled-data system.
5. The basic model is modified to make its behavior agree with experimental eye movement responses to target ramps and step-ramps. This is done by using error and its rate of change to estimate the error that will exist one reaction time in the future.
6. Parallel processing of data is a well recognized property of the nervous system. By utilizing it in combination with a random decision threshold, the model is extended to produce results in agreement with experiments for double-step target movements in which the second step occurs less than 0.2 sec after the first.
7. Finally, a model is presented which incorporates a continuum of parallel processing to represent the retinotopic spatial organization of the visual system and the tecto-bulbar motor commands. The model is conceptual; it was not constructed or tested but is used to discuss more complex eye movement phenomena such as those that appear to occur when the decision process must shift between hemispheres and how the system might produce quick correcting saccades with latencies as short as 85 msec.

     

The effect of eye movement on the control of arm movement to a target

Abstract

The purpose of this study was to investigate the effect of eye movement on the control of arm movement to a target. Healthy humans flexed the elbow to a stationary target in response to a start tone. Simultaneously, the subject moved the eyes to the target (saccade eye movement), visually tracked a laser point moving with the arm (smooth pursuit eye movement), or gazed at a stationary start point at the midline of the horizontal visual angle (non-eye movement—NEM). Arm movement onset was delayed when saccade eye movement accompanied it. The onset of an electromyographic burst in the biceps muscle and the onset of saccade eye movement were almost simultaneous when both the arm and the eyes moved to the target. Arm movement duration during smooth pursuit eye movement was significantly longer than that during saccade eye movement or NEM. In spite of these findings, amplitudes of motor-evoked potential in the biceps and triceps brachii muscles were not significantly different among the eye movement conditions. These findings indicate that eye movement certainly affects the temporal control of arm movement, but may not affect corticospinal excitability in the arm muscles during arm movement.     

Vergence eye movement control and multivalent perception of autostereograms

We introduce a dynamical model for automatic vergence eye movement control. In connection with our dynamical system of binocular model neurons that solves the correspondence problem of stereo-vision, we present a complete model for stereo-vision. Our automatic vergence eye movement control adjusts an image segment, which is of momentary interest to the observer. The adjustment is done in such a way that we only need to define a disparity search range of minimal extension. ecently, a new method of encoding (3D) three-dimenional information in 2D pictures was designed in the form of computer-generated patterns of colored dots. At first glimpse, these so-called autostereograms appear as structured but meaningless patterns. After a certain period of observation, a 3D pattern emerges suddenly in an impressive way. Applying our algorithm to autostereograms, we find a fully satisfactory agreement with the multivalent perception experienced by humans. As in nature, in our model the phase transition between the initial state and the 3D perception state takes place in a very short time. Our algorithm is very robust against noise, and there is no need to interpolate a sparse depth map.     

Investigation of spinal neuronal mechanisms of movement control systems

Morphological and electrophysiological investigations of the means whereby the principal descending motor systems (the cortico-, rubro-, reticulo-, and vestibulo-spinal tracts) are connected with the segmental interneuronal apparatus and motoneurons show that these connections can be based on two different principles. Descending systems either activate motoneurons directly (monosynaptically) or are connected primarily with various interneuron systems, exerting their influence in that case by regulating the activity of simpler or more complex spinal mechanisms. The older descending system (reticulo- and vestibulo-spinal) possess a monosynaptic excitatory action of motoneurons; the evolutionarily newer descending systems, which transmit the most complex motor signals from the cerebral and cerebellar cortex to the spinal cord (cortico- and rubro-spinal), terminate synaptically in every case on interneurons. It is only in primates that a few cortico-spinal fibers form monosynaptic connections with motoneurons. The chief ways of action of the descending systems on interneurons are: control of the afferent inflow into the interneuron system by presynaptic inhibition of the corresponding synapses; control of the interneuron system by postsynaptic interaction with afferent influences; control of motoneurons through the specialized interneuron apparatus. The investigation shows that the last of these mechanisms functions in the cortico- and rubro-spinal, and possibly also in the reticulo- and vestibulo-spinal systems. The functional role of the various means of connection of the descending systems with the spinal neurons in the system of movement control is discussed.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 2, No. 2, pp. 189–202, March–April, 1970.     

An investigation of the movement of the scallop,Pecten maximus

Summary 1. In the experimental area specimens of the scallop,Pecten maximus, occur at a density of one every 1 1/2 m². Over 90% are recessed in the bottom.2. Unrecessed specimens remain in the same position on an average for 6 days. Recessed specimens remain on an average 27 days.3. The experimental area has virtually unidirectional tidal flow. The scallops tend to orientate themselves on the bottom so that this flow complements their ciliary currents.

---

Eine Untersuchung über die Fortbewegung der KammuschelPecten maximus

Kurzfassung ObgleichPecten maximus (L.) normalerweise im Meeresboden ruht, kann dieses Mollusk recht aktiv schwimmen. Frühere Untersuchungen über die Fortbewegung werden durch Wiederfang markierter Individuen mit Hilfe einer Dredsche durchgeführt; eine derartige Methode kann lediglich etwas über weiträumigere Ortsveränderungen aussagen. In der vorliegenden Studie wurde nun ein kleines Areal mit fixierten Bezugspunkten versehen und — unter Anwendung der Methode des wissenschaftlichen Schwimmtauchens — in bestimmten Zeitabständen 8 Wochen lang überwacht. Auf diese Weise konnte sowohl die Häufigkeit der Ortsveränderungen als auch die Orientierung erfaßt werden. Durchschnittlich verblieben nicht eingegrabene Individuen nur 6 Tage am gleichen Ort, eingegrabene Tiere dagegen auf Grund von Beobachtungswerten 17 Tage (Berechnungen deuten jedoch auf einen korrigierten Endwert von 27 Tagen hin). Es wird angenommen, daß spontanes Schwimmen im wesentlichen nur im Anschluß an Störungen durch andere Tiere erfolgt. Die Orientierung am Boden richtete sich vorwiegend nach dem am Untersuchungsort praktisch nur in einer Richtung laufenden Wasserstrom.P. maximus orientierte sich dabei im allgemeinen derart, daß die Wasserströmung ihre Freßströmungen unterstützt.

     

Properties of 3D rotations and their relation to eye movement control

Rotations of the eye are generated by the torques that the eye muscles apply to the eye. The relationship between eye orientation and the direction of the torques generated by the extraocular muscles is therefore central to any understanding of the control of three-dimensional eye movements of any type. We review the geometrical properties that dictate the relationship between muscle pulling direction and 3D eye orientation. We then show how this relation can be used to test the validity of oculomotor control hypotheses. We test the common modeling assumption that the extraocular muscle pairs can be treated as single bidirectional muscles. Finally, we investigate the consequences of assuming fixed muscle pulley locations when modeling the control of eye movements.     

Stereo and eye movement

We describe a method to solve stereo correspondence using controlled eye (or camera) movements. Eye movements supply additional image frames and monocular depth estimate, which can be used to constrain stereo matching. Because the eye movements are small, traditional stereo techniques of stereo with multiple frame will not work. We develop an alternative approach using a systematic analysis to define a probability distribution for the errors. Our matching strategy then matches the most probable points first, thereby reducing the ambiguity for the remaining matches. We demonstrate this algorithms with several examples.     

A neural-network system for control of eye movements: basic mechanisms

This paper presents a neural-network-based system that can generate and control movements of the eyes. It was inspired by a number of experimental observations on the saccadic and gaze systems of monkeys and cats. Because of the generality of the approach undertaken, the system can be regarded as a demonstration of how parallel distributed processing principles, namely learning and attractor dynamics, can be integrated with experimental findings, as well as a biologically inspired controller for a dexterous robotic orientation device. The system is composed of three parts: a dynamic motor map, a push-pull circuitry, and a plant. The dynamics of the motor map is generated by a multi-layer network that was trained to compute a bidimensional temporal-spatial transformation. Simulation results indicate (1) that the system is able to reproduce some of the properties observed in the biological system at the neural and movement levels and (2) that the dynamics of the motor map remains stereotyped even when the motor map is subject to abnormal stimulation patterns. The latter result emphasizes the role of the topographic projection that connects the motor map to the push-pull circuitry in determining the features of the resulting movements.     

Frequency characteristics of the saccadic eye movement

Using a piecewise linear approach, individual saccadic eye movements have been Fourier decomposed in an attempt to determine the effect of saccadic amplitude on frequency characteristics. These characteristics were plotted in the traditional Bode plot form, showing gain and phase as a function of frequency for various eye movement amplitudes. Up to about one octave beyond the -3 db gain frequency, the limiting system dynamics represented by the saccadic trajectory of a given amplitude may be considered linear and second order. The -3 db gain frequency was used as a measure of bandwidth, and the -90 degrees phase crossover frequency was used as a measure of undamped natural frequency. These two quantities were used to calculate the damping factor. Both bandwidth and undamped natural frequency decrease with increasing saccadic eye movement amplitude. The damping factor shows no trend with amplitude and indicates approximate critical damping. When compared with the normal variation of characteristics for a given movement, the frequency characteristics of fixed-amplitude saccades showed no generalized trends with changes in direction or DC operating level of movement.     

Supplementary eye field: keeping an eye on eye movement

The supplementary eye field has the biggest say in choosing what we look at, but has long been an enigma. Recent studies are beginning to make more sense of what it actually does.     

An investigation on lipoperoxidation mechanisms in boar spermatozoa

Aerobic incubation of washed boar spermatozoa in a heavy metal free medium at 37 degrees C results in a peroxidative breakdown of membrane phospholipids as revealed by malondialdehyde production. In the presence of iron ions, alone and with ascorbate, the amount of malondialdehyde produced increases noticeably. Alkoxy and lipoperoxy radicals are likely involved in these peroxidative processes, while OH. radical does not seem to be essential in the pathway of malondialdehyde formation.     

Saccadic eye movement related potentials

The saccadic eye movement related potentials (SEMRPs) enable to study brain mechanisms of the sensorimotor integration. SEMRPs provide insight into various cognitive mechanisms related to planning, programming, generation and execution of the saccadic eye movements. SEMRPs can be used to investigate pathophysiological mechanisms of several disorders of the central nervous system. Here we shortly summarize basic findings concerning the significance of SEMRP components, their relationship to the functional brain asymmetry and visual attention level as well as changes related to certain neuropsychological disorders.     

A model of the smooth pursuit eye movement system

Human, horizontal, smooth-pursuit eye movements were recorded by the search coil method in response to Rashbass step-ramp stimuli of 5 to 30 deg/s. Eye velocity records were analyzed by measuring features such as the time, velocity and acceleration of the point of peak acceleration, the time and velocity of the peaks and troughs of ringing and steady-state velocity. These values were averaged and mean responses reconstructed. Three normal subjects were studied and their responses averaged. All showed a peak acceleration-velocity saturation. All had ringing frequencies near 3.8 Hz and the mean steady-state gain was 0.95.It is argued that a single, linear forward path with any transfer function G(s) and a 100 ms delay (latency) cannot simultaneously simulate the initial rise of acceleration and ring at 3.8 Hz based on a Bode analysis. Also such a simple negative feedback model cannot have a steady-state gain greater than 1.0; a situation that occurs frequently experimentally. L.R. Young's model, which employs internal positive feedback to eliminate the built-in unity negative feedback, was felt necessary to resolve this problem and a modification of that model is proposed which simulates the data base. Acceleration saturation is achieved by borrowing the idea of the local feedback model for saccades so that one nonlinearity can account for the acceleration-velocity saturation: the main sequence for pursuit. Motor plasticity or motor learning, recently demonstrated for pursuit, is also incorporated and simulated.It was noticed that the offset of pursuit did not show the ringing seen in the onset so this was quantified in one subject. Offset velocity could be characterized by a single exponential with a time constant of about 90 ms. This observation suggests that fixation is not pursuit at zero velocity and that the pursuit system is turned on when needed and off during fixation.