Angular homeostasis VIII. Pursuit of a slowly moving target in a plane: Relevance to lateralization in cardiovascular ontogeny

We explore the pursuit in a plane of a target moving at constant slow speed in a straight line. Two models of the pursuit are given. In the continuous case, the pursuer is moving at constant speed and is subject to proportionate angular homeostasis with correction constant b. In the discrete version movement occurs at a constant speed in a sequence of straight line segments of constant length (called the step size, s) the end of the segments being called the vertices. The pattern considered is not the absolute position of the pursuer, but its distance and orientation relative to the target. Both the transients and the asymptotic orbit are addressed. A key quantity is r, the speed of the target expressed as a fraction of that of the pursuer. If the speed of the pursuer is defined as unity, r is also the ratio of the speeds. There exists a critical speed fraction, R(b, s), a function of b and s, that defines what the term slow designates. R(b,s), which has to be found numerically, has the following property. For r < R(b, s), the asymptotic path is a simple closed curve. In the discrete case the vertices converge to a simple closed curve. The larger r, the more the path (or in the discrete analogue its set of vertices) departs from a circle, and the more eccentric the target is with respect to it. Interest centers on two issues. First we address the transient patterns of the path, notably whether or not the sense of any particular path (clockwise or counterclockwise) is the same throughout, or changes at some stage. These studies have a bearing on ontogenetic lateralization of the viscera; its relationship to the classification of dextrocardia is addressed. Second, we considor the asymptotic form of the path and its relationship to the parameters. The critical values of R (b, s) are extensively explored.     

Angular homeostasis IX. Polygonal orbits with a moving target: Implications for anomalous numbers of digits in congenital heart disease

This paper explores properties of discrete processes in which a pursuer seeks a target that is moving at constant velocity r that is a fixed proportion of the speed of the pursuer. The pursuer is subjected to proportional angular homeostasis, so chosen that the number of steps per circuit is small. The orbits relative to the target may assume any of four forms: polygons that reverse their sense an infinite number of times; or polygons that after a finite number of reversals ultimately come to have an integer numbers of sides; or have a rational numbers of sides; or have an irrational number of sides that densely fill an annulus. None of the polygons is regular. In the parameter space, the boundary line between the first of these sets and the other three has a somewhat bizarre pattern and may possibly be fractal, but no proof is forthcoming. Unlike the pattern with a stationary target, there may be a set or catchment of diverse values of the speed ratio, r, and the correction coefficient, b that all result in figures of some specified number, n, of sides (although with vertices in differing locations). Catchments have been found for only those polygons that have the winding number of 1. The implications are discussed that this property has for the genetic coding of biological traits that are countable. Some attention is also paid to the relevance of polygons with few sides to ontogenic growth when the correction coefficient is cyclically arc- or time-dependent. © 1993 Wiley-Liss, Inc.     

Angular homeostasis. V: Some issues in genetics, ontogeny, and evolution

We discuss a provisional model that deals with aspects of normal control of the direction in which cells grow; hence, the organization of structure. The interacting issues of genetics, ontogeny, and phylogeny in relationship to normal development and its defects are addressed. Our main goal is to define a model with a small and sufficient set of conditions that would make it possible to undertake statistically efficient genetic studies of certain congenital defects. But to do so in plausible and heuristic terms, one must address two classical questions: 1) How is the genome translated (or sometimes mistranslated) into a phenotype that is clinically conspicuous and that can be the object of genetic selection, and hence of evolution? 2) Granted that evolution of species occurs in small, rare steps, what is the path that calls for the smallest number of mutations through which ontogenesis could have developed, the intermediate stages being conserved because of actual phenotypic advantage?     

Angular homeostasis V: Some issues in genetics,ontogeny, and evolution

We discuss a provisional model that deals with aspects of normal control of the direction in which cells grow; hence, the organization of structure. The interacting issues of genetics, ontogeny, and phylogeny in relationship to normal development and its defects are addressed. Our main goal is to define a model with a small and sufficient set of conditions that would make it possible to undertake statistically efficient genetic studies of certain congenital defects. But to do so in plausible and heuristic terms, one must address two classical questions: (1) How is the genome translated (or sometimes mistranslated) into a phenotype that is clinically conspicuous and that can be the object of genetic selection, and hence of evolution? (2) Granted that evolution of species occurs in small, rare steps, what is the path that calls for the smallest number of mutations through which ontogenesis could have developed, the intermediate stages being conserved because of actual phenotypic advantage?     

Dynamics of quantitative homeostasis: VIII. Processes that oscillate finitely many times

There is no well-established method of dealing with medical processes that oscillate only a finite number of times. A lagged homeostatic model of higher power in certain circumstances follows such a pattern and critical values are here explored by numerical integration. Abrupt ending of the oscillation occurs with processes of higher powers. The model is illustrated by clonus, chosen because reflexes are naturally lagged responses and because clonus may be unsustained. In applying the model to clonus, there are some incongruities (notably inertia) that call for caution; however, published data suggest that they may not be important. These imperfections notwithstanding, the correspondence is remarkably good. The model dealt with here, being simple and economical, is a useful first step to genetics; and some empirically testable deductions from the model are listed.     

IMRT delivery to a moving target by dynamic MLC tracking: delivery for targets moving in two dimensions in the beam's eye view

A new modification of the dynamic multileaf collimator (dMLC) delivery technique for intensity-modulated therapy (IMRT) is outlined. This technique enables the tracking of a target moving through rigid-body translations in a 2D trajectory in the beam's eye view. The accuracy of the delivery versus that of deliveries with no tracking and of 1D tracking techniques is quantified with clinically derived intensity-modulated beams (IMBs). Leaf trajectories calculated in the target-reference frame were iteratively synchronized assuming regular target motion. This allowed the leaves defined in the lab-reference frame to simultaneously follow the target motion and to deliver the required IMB without violation of the leaf maximum-velocity constraint. The leaves are synchronized until the gradient of the leaf position at every instant is less than a calculated maximum. The delivered fluence in the target-reference frame was calculated with a simple primary-fluence model. The new 2D tracking technique was compared with the delivered fluence produced by no-tracking deliveries and by 1D tracking deliveries for 33 clinical IMBs. For the clinical IMBs normalized to a maximum fluence of 200 MUs, the rms difference between the desired and the delivered IMB was 15.6 +/- 3.3 MU for the case of a no-tracking delivery, 7.9 +/- 1.6 MU for the case where only the primary component of motion was corrected and 5.1 +/- 1.1 MU for the 2D tracking delivery. The residual error is due to interpolation and sampling effects. The 2D tracking delivery technique requires an increase in the delivery time evaluated as between 0 and 50% of the unsynchronized delivery time for each beam with a mean increase of 13% for the IMBs tested. The 2D tracking dMLC delivery technique allows an optimized IMB to be delivered to moving targets with increased accuracy and with acceptable increases in delivery time. When combined with real-time knowledge of the target motion at delivery time, this technique facilitates improved target conformality relative to no-tracking deliveries and allows PTV margin reduction.     

The moving target: mechanisms of HIV persistence during primary infection.

The vigorous host immune responses detected during primary HIV infection fail to prevent the establishment of chronic infection because HIV has evolved multiple strategies to make these responses ineffective. Here, Hugo Soudeyns and Giuseppe Pantaleo discuss the mechanisms that allow HIV to persist in the host.     

Saccadic foveation of a moving visual target in the rhesus monkey

When generating a saccade toward a moving target, the target displacement that occurs during the period spanning from its detection to the saccade end must be taken into account to accurately foveate the target and to initiate its pursuit. Previous studies have shown that these saccades are characterized by a lower peak velocity and a prolonged deceleration phase. In some cases, a second peak eye velocity appears during the deceleration phase, presumably reflecting the late influence of a mechanism that compensates for the target displacement occurring before saccade end. The goal of this work was to further determine in the head restrained monkey the dynamics of this putative compensatory mechanism. A step-ramp paradigm, where the target motion was orthogonal to a target step occurring along the primary axes, was used to estimate from the generated saccades: a component induced by the target step and another one induced by the target motion. Resulting oblique saccades were compared with saccades to a static target with matched horizontal and vertical amplitudes. This study permitted to estimate the time taken for visual motion-related signals to update the programming and execution of saccades. The amplitude of the motion-related component was slightly hypometric with an undershoot that increased with target speed. Moreover, it matched with the eccentricity that the target had 40-60 ms before saccade end. The lack of significant difference in the delay between the onsets of the horizontal and vertical components between saccades directed toward a static target and those aimed at a moving target questions the late influence of the compensatory mechanism. The results are discussed within the framework of the "dual drive" and "remapping" hypotheses.     

Constraints on the spatiotemporal accuracy of interceptive action: effects of target size on hitting a moving target

Results of two experiments are reported that examined how people respond to rectangular targets of different sizes in simple hitting tasks. If a target moves in a straight line and a person is constrained to move along a linear track oriented perpendicular to the targets motion, then the length of the target along its direction of motion constrains the temporal accuracy and precision required to make the interception. The dimensions of the target perpendicular to its direction of motion place no constraints on performance in such a task. In contrast, if the person is not constrained to move along a straight track, the targets dimensions may constrain the spatial as well as the temporal accuracy and precision. The experiments reported here examined how people responded to targets of different vertical extent (height): the task was to strike targets that moved along a straight, horizontal path. In experiment 1 participants were constrained to move along a horizontal linear track to strike targets and so target height did not constrain performance. Target height, length and speed were co-varied. Movement time (MT) was unaffected by target height but was systematically affected by length (briefer movements to smaller targets) and speed (briefer movements to faster targets). Peak movement speed (Vmax) was influenced by all three independent variables: participants struck shorter, narrower and faster targets harder. In experiment 2, participants were constrained to move in a vertical plane normal to the targets direction of motion. In this task target height constrains the spatial accuracy required to contact the target. Three groups of eight participants struck targets of different height but of constant length and speed, hence constant temporal accuracy demand (different for each group, one group struck stationary targets = no temporal accuracy demand). On average, participants showed little or no systematic response to changes in spatial accuracy demand on any dependent measure (MT, Vmax, spatial variable error). The results are interpreted in relation to previous results on movements aimed at stationary targets in the absence of visual feedback.     

Effects of a sound source moving in a vertical plane on postural responses in humans

The effects of moving sound sources on postural responses were studied. Sound source movement was simulated by sequential switching of loudspeakers located along an arch positioned in the sagittal plane relative to the subject. The total durations of the sound stimulus movement were 1.6, 3.2, and 4.8 sec. Signals of 1.6 and 3.2 sec led to decreases in the mean amplitude of oscillogram oscillations in the sagittal and frontal planes. Stabilogram curves averaged for all subjects for the signal of duration 4.8 sec showed that the center of gravity deviated during exposure to the sound stimulus towards the side opposite the direction of movement of the sound source. __________ Translated from Rossiiskii Fiziologicheskii Zhurnal imeni I. M. Sechenova, Vol. 91, No. 7, pp. 810–820, July, 2005.     

Intercepting a moving target: effects of temporal precision constraints and movement amplitude

The effects of temporal precision constraints and movement amplitude on performance of an interceptive aiming task were examined. Participants were required to strike a moving target object with a "bat" by moving the bat along a straight path (constrained by a linear slide) perpendicular to the path of the target. Temporal precision constraints were defined in terms of the time period (or window) within which contact with the target was possible. Three time windows were used (approx. 35, 50 and 65 ms) and these were achieved either by manipulating the size of the bat (experiment 1a), the size of the target (experiment 1b) or the speed of the target (experiment 2). In all experiments, movement time (MT) increased in proportion to movement amplitude but was only affected by differences in the temporal precision constraint if this was achieved by variation in the target's speed. In this case the MT was approximately inversely proportional to target speed. Peak movement speed was affected by temporal accuracy constraints in all three experiments: participants reached higher speeds when the temporal precision required was greater. These results are discussed with reference to the speed-accuracy trade-off observed for temporally constrained aiming movements. It is suggested that the MT and speed of interceptive aiming movements may be understood as responses to the spatiotemporal constraints of the task.     

Parallel processing of spatial and serial order information before moving to a remembered target

Information storage and retrieval from working memory is limited by the capacity of storage mechanisms and attentional processes. Nevertheless, it has been shown that processing of multiple features can proceed independently in working memory. In this study we investigated how serial order and directional information are processed when executing a movement to a remembered target direction. We compared the performance of 11 healthy subjects in 3 motor working memory tasks, one with a varying spatial memory load, one with a varying serial order memory load, and one in which memory load was varied for both features. We found that the spatial information memory load does not affect the ability to store information about serial order and vice versa. Furthermore, movement response latencies indicated that retrieval of information about both features proceeds simultaneously. These results strongly favor independent, parallel working memory systems for processing space and order information in the motor system.     

An internal model of a moving visual target in the lateral cerebellum

In order to overcome the relatively long delay in processing visual feedback information when pursuing a moving visual target, it is necessary to predict the future trajectory of the target if it is to be tracked with accuracy. Predictive behaviour can be achieved through internal models, and the cerebellum has been implicated as a site for their operation. Purkinje cells in the lateral cerebellum (D zones) respond to visual inputs during visually guided tracking and it has been proposed that their neural activity reflects the operation of an internal model of target motion. Here we provide direct evidence for the existence of such a model in the cerebellum by demonstrating an internal model of a moving external target. Single unit recordings of Purkinje cells in lateral cerebellum (D2 zone) were made in cats trained to perform a predictable visually guided reaching task. For all Purkinje cells that showed tonic simple spike activity during target movement, this tonic activity was maintained during the transient disappearance of the target. Since simple spike activity could not be correlated to eye or limb movements, and the target was familiar and moved in a predictable fashion, we conclude that the Purkinje cell activity reflects the operation of an internal model based on memory of its previous motion. Such a model of the target's motion, reflected in the maintained modulation during the target's absence, could be used in a predictive capacity in the interception of a moving object.     

Review: Biology and relevance of C-reactive protein in cardiovascular and renal disease

C-reactive protein (CRP) is a member of the pentraxin family of proteins, which are characterised by a cyclic pentameric structure and radial symmetry. The five identical 24-kDa protomers consist of 206 amino acids, and are noncovalently linked. CRP binds to a range of substances such as phosphocholine, fibronectin, chromatin, histones, and ribonucleoprotein in a calcium-dependent manner. It is a ligand for specific receptors on phagocytic leukocytes, mediates activation reactions on monocytes and macrophages, and activates complement. Plasma CRP is the classical acute-phase protein, increasing 1,000-fold in response to infection, ischemia, trauma, burns, and inflammatory conditions. A growing number of studies suggest that CRP is an independent risk factor for atherosclerotic vascular disease. Plasma CRP concentrations in the highest quartile are associated, depending on the subject group, with 1.5- to 7-fold increases in relative risk. In the high-risk endstage renal failure population, a raised CRP is associated with up to 5.5-fold increased relative risk of CVD and 4.6-fold increased relative risk of death. This review examines the relationships between CRP, cardiovascular disease, and mortality, with special reference to renal disease.     

Design study of a raster scanning system for moving target irradiation in heavy-ion radiotherapy

A project to construct a new treatment facility as an extension of the existing heavy-ion medical accelerator in chiba (HIMAC) facility has been initiated for further development of carbon-ion therapy. The greatest challenge of this project is to realize treatment of a moving target by scanning irradiation. For this purpose, we decided to combine the rescanning technique and the gated irradiation method. To determine how to avoid hot and/or cold spots by the relatively large number of rescannings within an acceptable irradiation time, we have studied the scanning strategy, scanning magnets and their control, and beam intensity dynamic control. We have designed a raster scanning system and carried out a simulation of irradiating moving targets. The result shows the possibility of practical realization of moving target irradiation with pencil beam scanning. We describe the present status of our design study of the raster scanning system for the HIMAC new treatment facility.     

Predictive elements in ocular interception and tracking of a moving target by untrained cats

We presented a mechanical target moving at constant velocity to awake, nontrained, head-restrained cats, in order to study how naive animals pursue objects moving at a high speed with their gaze. Eye movements were recorded while the target was moving in different directions at a constant velocity (20–80°/s) through the center of the visual field. We observed two oculomotor strategies: cats either made an interception saccade (IS) toward the target but opposite to its motion, or tracked it in the direction of motion. They used the interception strategy more frequently when the gaze position error at the onset of target motion was large, and the tracking strategy when it was small. Interception was always achieved by single saccades, which were faster than tracking saccades (TS). During tracking, cats generated sequences of two to six saccades separated by "smooth" eye movements. Tracking quality varied considerably from trial to trial. When the level of motivation was high, cats would track the target at 80°/s over up to 75% of the oculomotor range, with relatively small position errors. We compared ISs and TSs with respect to their metric properties and timing. The amplitudes of ISs positively correlated with position error existing 100 ms before saccade onset, but saccade vectors were directed to a point ahead of the target along the target's track. We conclude that, in programming the ISs, target motion is used to predict the future target position so as to assure a spatial lead of the gaze at the saccade end, instead of attempting a precise capture of the target. The amplitude of TSs did not depend on preceding position errors. TSs were usually small at the onset of the first saccade, as if cats would wait till the target arrived near the line of sight. A majority of primary TSs were initiated before the target arrived near the direction of gaze. Thus they had a direction, opposite to the position error sampled 100 ms before the saccade, but the same as the direction of target motion. Prediction of the future target position from its velocity vector should therefore contribute to the programming of TSs. In addition, we observed that TSs were faster when they were initiated with a spatial lag relative to the target and they were slower if there was a spatial lead or target velocity was reduced. Such a modulation appears to be analogous to the predictive correction of the saccade amplitude during smooth pursuit in primates. Considering strong visual motion sensitivity and motor properties of output neurons of the superior colliculus, it is likely that, in cats, the colliculus makes a major contribution to the integration of eye movement-related and target motion-related signals. Electronic Publication     

Involvement of corticosterone in cardiovascular responses to an open-field novelty stressor in freely moving rats

The aim of the present study was to investigate the modulatory action of different concentrations of circulating corticosterone occupying either predominantly mineralocorticoid receptors (MR) or both MR and glucocorticoid receptors (GR) in control of cardiovascular responses to a novelty stressor. Six groups of rats were instrumented with radiotelemetry transmitters: sham-operated controls, adrenalectomised (ADX) controls, ADX with chronic implantation of a 20-mg corticosterone pellet, ADX with chronic implantation of a 100-mg corticosterone pellet, ADX receiving acute bolus injection of 0.25 mg/kg of corticosterone, and ADX with both implantation of a 20-mg corticosterone pellet and bolus treatment. Exposure to the novelty of an open field caused an increase in blood pressure, heart rate, body temperature and exploratory locomotor activity. The pressor response was dose-dependently increased in ADX rats implanted with a corticosterone pellet. Bolus injection of corticosterone at 10 min prior to novelty had no effect. The tachycardia was reduced in ADX rats compared to sham-operated controls, and this effect was restored by implantation of a 20-mg, but not 100-mg, corticosterone pellet. Bolus injection of corticosterone facilitated the return of heart rate towards baseline levels. The increase in body temperature was reduced in ADX rats, a deficit that was normalised by implantation of either corticosterone dose but not by acute bolus treatment. Locomotor activity was not different between the groups except for a slightly more rapid decline of locomotor activity in both groups treated with a bolus injection of corticosterone. These data show an important role of putative brain MR in maintaining adequate cardiovascular and behavioural responsiveness to a mild psychological stressor, while additional acute or chronic occupation of GR has further differential and sometimes opposing effects.