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Imaging spatiotemporal dynamics of surround inhibition in the barrels somatosensory cortex.

Sensory processing and its perception require that local information would also be available globally. Indeed, in the mammalian neocortex, local excitation spreads over large distances via the long-range horizontal connections in layer 2/3 and may spread over an entire cortical area if excitatory polysynaptic pathways are also activated. Therefore, a balance between local excitation and surround inhibition is required. Here we explore the spatiotemporal aspects of cortical depolarization and hyperpolarization of rats anesthetized with urethane. New voltage-sensitive dyes (VSDs) were used for high-resolution real-time visualization of the cortical responses to whisker deflections and cutaneous stimulations of the whisker pad. These advances facilitated imaging of ongoing activity and evoked responses even without signal averaging. We found that the motion of a single whisker evoked a cortical response exhibiting either one or three phases. During a triphasic response, there was first a cortical depolarization in a small cortical region the size of a single cortical barrel. Subsequently, this depolarization increased and spread laterally in an oval manner, preferentially along rows of the barrel field. During the second phase, the amplitude of the evoked response declined rapidly, presumably because of recurrent inhibition. Subsequently, the third phase exhibiting a depolarization rebound was observed and clear, and approximately 16 Hz oscillations were detected. Stimulus conditions revealing a net surround hyperpolarization during the second phase were also found. By using new, improved VSD, the present findings shed new light on the spatial parameters of the intricate spatiotemporal cortical interplay of inhibition and excitation.

Animals↗

Spreading depression in the cortex differently modulates dopamine release in rat mesolimbic and nigrostriatal terminal fields.

The effects of cortical spreading depression (SD) on evoked dopamine release in mesolimbic (nucleus accumbens) and nigrostriatal (nucleus caudatus) terminal fields were studied by in vivo voltammetry in anesthetized rats. Dopamine release was evoked by electrical stimulation of medial forebrain bundle (20 Hz, 100 pulses). Local application of 3 M KCl on the dura initiated SD in the cortex. It was found that SD modulated evoked dopamine release in subcortical structures at the same time when the wave of depression of cortical activity reached reciprocally connected subcortical areas. This cortical depression increased stimulated dopamine release in the nucleus accumbens and decreased dopamine release in the nucleus caudatus. In agreement with these results, electrical stimulation of the prefrontal cortex at 20 Hz, synchronized with medial forebrain bundle stimulation, decreased evoked dopamine release in the nucleus accumbens. Areas of the cortex which modulated dopamine release in these two terminal fields were spatially separated by at least 5 mm from each other. It is proposed that depression and activation of evoked dopamine release in the nucleus caudatus and nucleus accumbens following SD are indicative of tonic activation of the nigrostriatal and tonic inhibition of the mesolimbic dopaminergic terminals by cortex in normal conditions. SD in the cortex, modulating neurotransmitter release in subcortical structures, may have a general impact on redistribution of oxygen supply in these subcortical areas and on behavior associated with brain trauma, migraine, insult or seizures, i.e. the kind of neuropathology which may cause SD type phenomena also in human brain.

Animals↗

The expression of GABA(A) receptor subunits in the substantia nigra is developmentally regulated and region-specific.

The substantia nigra pars reticulata (SNR) controls the spread of seizures. GABA(A)ergic drug (agonist or antagonist) infusions into the SNR have age-specific and site-specific effects on flurothyl-induced seizures. Developmental and cell-specific regulation of GABA(A) receptor subunit expression may be responsible for these specific effects. To test this hypothesis, in situ hybridization was used to examine regional expression of alpha1 and gamma2L GABA(A) receptor subunit mRNAs in the SNR during development. Distinct temporal and spatial patterns of expression were observed. In rats at postnatal days (PN) 21-60, fewer neurons were labeled with probes directed to alpha1 and gamma2L subunits in SNRanterior compared with SNRposterior. In addition, neurons in SNRanterior contained higher amounts of hybridization grains than in SNRposterior. In PN 15 rats, the labeling of neurons was relatively diffuse throughout the anterior and posterior SNR regions with moderate amounts of hybridization grains for both subunits. The finding of age-related differential distribution of alpha1 and gamma2L subunit mRNAs in the SNR suggests that GABA(A) receptor heterogeneity may play a role in the age-specific and site-specific effects of GABA(A)ergic agents on seizures in the SNR.

Animals↗

Introduction of calcium buffers into the cytosol of Dictyostelium discoideum amoebae alters cell morphology and inhibits chemotaxis.

Differentiating Dictyostelium discoideum amoebae respond chemotactically towards the attractant cAMP. To test whether chemotaxis requires the establishment of a spatial gradient of the cytosolic calcium concentration ([Ca2+]i) we scrape-loaded calcium chelating agents with different affinities for Ca2+ into the cytosol of the cells. The buffers were 1,2-bis(o-aminophenoxy)-ethane-N,N,N',N'-tetraacetic acid (BAPTA) and its derivatives. Parameters analyzed were general cell morphology and the capability to protrude pseudopods and to migrate towards a cAMP-filled capillary. The chelators dose- and time-dependently inhibited spreading of the amoebae on the substrate. Both oriented pseudopod formation and locomotion of the cells were reduced. This effect was overcome by extracellular Ca2+, but not Mg2+. The effects of BAPTA derivatives were compared to the inhibition by BAPTA. A dose-response curve was obtained; 5,5'-difluoro-BAPTA was the most potent analogue. We conclude that a [Ca2+]i-gradient is necessary for orientation and locomotion. Chemotaxis experiments performed in the presence of extracellular EGTA revealed that liberation of Ca2+ from intracellular stores is sufficient for pseudopod formation; yet under physiological conditions influx of extracellular Ca2+ is also used to establish the gradient.

Animals↗

A dual role for Sonic hedgehog in regulating adhesion and differentiation of neuroepithelial cells.

In vertebrates, the nervous system arises from a flat sheet of epithelial cells, the neural plate, that gradually transforms into a hollow neural tube. This process, called neurulation, involves sequential changes in cellular interactions that are precisely coordinated both spatially and temporally by the combined actions of morphogens. To gain further insight into the molecular events regulating cell adhesion during neurulation, we investigated whether the adhesive and migratory capacities of neuroepithelial cells might be modulated by Sonic hedgehog (Shh), a signaling molecule involved in the control of cell differentiation in the ventral neural tube. When deposited onto extracellular matrix components in vitro, neural plates explanted from avian embryos at early neurulation readily dispersed into monolayers of spread cells, thereby revealing their intrinsic ability to migrate. In the presence of Shh added in solution to the culture medium, the explants still exhibited the same propensity to disperse. In contrast, when Shh was immobilized to the substrate or produced by neuroepithelial cells themselves after transfection, neural plate explants failed to disperse and instead formed compact structures. Changes in the adhesive capacities of neuroepithelial cells caused by Shh could be accounted for by inactivation of surface beta1-integrins combined with an increase in N-cadherin-mediated cell adhesion. Furthermore, immobilized Shh promoted differentiation of neuroepithelial cells into motor neurons and floor plate cells with the same potency as soluble Shh. However, the effect of Shh on the neuroepithelial cell adhesion was discernible and apparently independent from its differentiation effect and was not mediated by the signaling cascade elicited by the Patched-Smoothened receptor and involving the Gli transcription factors. Thus, our experiments indicate that Shh is able to control sequentially adhesion and differentiation of neuroepithelial cells through different mechanisms, leading to a coordinated regulation of the various cell interactions essential for neural tube morphogenesis.

Animals↗

Expression of the differentiated phenotype by epithelial cells in vitro is regulated by both biochemistry and mechanics of the substratum.

In this paper I sought to determine how the expression of differentiated traits of chick retinal pigmented epithelial (RPE) cells in vitro can be modulated by varying both the biochemical and the spatial complexity, and the mechanical properties, of the growth substratum. I have used glass derivatized with proteins of a basement membrane extract (nondeformable, two-dimensional substratum) and gels of reconstituted basement membrane extract (viscoelastic, three-dimensional substratum). These two biochemically similar substrata were compared to an inert substratum (untreated glass) and to the native basement membrane of the RPE, i.e., Bruch's Membrane. With immunofluorescence microscopy, I have shown that RPE cells, given space, will spread on their native basement membrane and form stress fibres and focal contacts, analogous to the stress fibres and integrin-, talin-, and vinculin-containing focal contacts of the cells grown on glass. Therefore, the stress fibres and focal contacts present in cultured cells are not artifacts of growth in vitro, but are a natural cellular response to the nondeformability of commonly used tissue culture substrata. The proteins of the basement membrane promote expression of some of the differentiated traits by RPE cells in vitro: however, the fully differentiated phenotype is expressed by RPE cells only when their spreading is prevented by low resilience of a substratum. Basement membrane gels generally are not resilient enough to support RPE cell spreading; however, the cells spread and form stress fibres, and integrin-, talin-, and vinculin-containing focal contacts when they are presented with areas of the gel which locally acquired higher resilience. The extent of cell spreading is determined by the deformability of substratum, hence elastic forces operating within the substratum determine the maximal cell traction allowable and, indirectly, the cytoarchitecture. Therefore, in addition to biochemical composition, the mechanical properties of substrata play important role in regulation of expression of the differentiated phenotype of cells in vitro and, possibly, in vivo.

Animals↗

Electrostatic force microscopy analysis of lipid miscibility in two-component monolayers.

Electrostatic force microscopy (EFM) was used to assess lipid miscibility and phase behavior in two-component Langmuir-Blodgett (LB) monolayers composed of cationic dioctadecyldimethylammonium bromide (DOMA) and nonionic methyl stearate (SME) lipids. The surface potential measurements were calibrated by applying known bias voltages to the sample during several line scans, thus creating surface potential "scale bars" on the images from which it was determined that circular domains were 50 mV more positive than the surrounding phase. As the spatially averaged surface potential of DOMA was over 400 mV more positive than that of SME, this 50-mV surface potential difference is too low to correspond to lipid phase separation (immiscibility) in the two-component film. Rather, the surface potential contrast was attributed to an increased packing density and a more orthogonal orientation of lipids in the domains resulting in a greater contribution of dipoles to the measured (normal) surface potential. Monolayers prepared by sequentially spreading the two lipids resulted in irregular domains that were 50-450 mV more positive than the surrounding phase, representing varying degrees of lipid mixing, restricted by two-dimensional diffusion at the interface. Fluorescent images of monolayers stained with negatively charged dye supported the EFM miscibility prediction and assignment of surface potential. These results demonstrate a new approach using EFM to quantitatively measure surface potential in order to assess the lateral distribution of components in thin films as well as predict adsorption patterns to heterogeneous interfaces.

Adsorption↗

Spatial and temporal aspects of cell signalling.

As new techniques are developed to measure intracellular messengers it becomes increasingly apparent that there is a remarkable spatial and temporal organization of cell signalling. Cells possess a small discrete hormone-sensitive pool of inositol lipid. In some cells such as Xenopus oocytes and Limulus photoreceptors this phosphoinositide signalling system is highly concentrated in one region of the cell, so establishing localized calcium gradients. Another example is the hydrolysis of inositol lipids in eggs at the point of sperm entry resulting in a localized increase in Ins(1,4,5)P3 and calcium which spreads like a wave throughout the egg. In hamster eggs this burst of calcium at fertilization recurs at 1-3 min intervals for over 100 min, a particularly dramatic example of spontaneous activity. Spontaneous oscillations in intracellular calcium exist in many different cell types and are often induced by agonists that hydrolyse inositol lipids. We have made a distinction between oscillations that are approximately sinusoidal and occur at a higher frequency where free calcium is probably continuously involved in the oscillatory cycle and those where calcium falls to resting levels for many seconds between transients. In the former case, the oscillations are thought to be induced through a cytoplasmic oscillator based on the phenomenon of calcium-induced calcium release. Such oscillations can be induced in Xenopus oocytes after injection with Ins(1,4,5)P3. A receptor-controlled oscillator based on the periodic formation of Ins(1,4,5)P3 is probably responsible for the generation of the widely spaced calcium transients. The function of such calcium oscillations is currently unknown. They may be a reflection of the feedback interactions that operate to control intracellular calcium. Another possibility emerged from observations that in some cells the frequency of calcium oscillations varied with agonist concentration, suggesting that cells might employ these oscillations as a way of encoding information. One advantage of using such a frequency-dependent mechanism may lie in an increase in fidelity, especially at low agonist concentrations. Whatever these functions might be, it is clear that uncovering the mechanisms responsible for such oscillatory activity will greatly enhance our understanding of the relation between the phosphoinositides and calcium signalling.

Animals↗

Ethylene synthesis regulated by biphasic induction of 1-aminocyclopropane-1-carboxylic acid synthase and 1-aminocyclopropane-1-carboxylic acid oxidase genes is required for hydrogen peroxide accumulation and cell death in ozone-exposed tomato.

We show that above a certain threshold concentration, ozone leads to leaf injury in tomato (Lycopersicon esculentum). Ozone-induced leaf damage was preceded by a rapid increase in 1-aminocyclopropane-1-carboxylic acid (ACC) synthase activity, ACC content, and ethylene emission. Changes in mRNA levels of specific ACC synthase, ACC oxidase, and ethylene receptor genes occurred within 1 to 5 h. Expression of the genes encoding components of ethylene biosynthesis and perception, and biochemistry of ethylene synthesis suggested that ozone-induced ethylene synthesis in tomato is under biphasic control. In transgenic plants containing an LE-ACO1 promoter-beta-glucuronidase fusion construct, beta-glucuronidase activity increased rapidly at the beginning of the O(3) exposure and had a spatial distribution resembling the pattern of extracellular H(2)O(2) production at 7 h, which coincided with the cell death pattern after 24 h. Ethylene synthesis and perception were required for active H(2)O(2) production and cell death resulting in visible tissue damage. The results demonstrate a selective ozone response of ethylene biosynthetic genes and suggest a role for ethylene, in combination with the burst of H(2)O(2) production, in regulating the spread of cell death.

Amino Acid Oxidoreductases↗

The role of luminal Ca2+ in the generation of Ca2+ waves in rat ventricular myocytes.

1. We used confocal Ca2+ imaging and fluo-3 to investigate the transition of localized Ca2+ releases induced by focal caffeine stimulation into propagating Ca2+ waves in isolated rat ventricular myocytes. 2. Self-sustaining Ca2+ waves could be initiated when the cellular Ca2+ load was increased by elevating the extracellular [Ca2+] ([Ca2+]o) and they could also be initiated at normal Ca2+ loads when the sensitivity of the release sites to cytosolic Ca2+ was enhanced by low doses of caffeine. When we prevented the accumulation of extra Ca2+ in the luminal compartment of the sarcoplasmic reticulum (SR) with thapsigargin, focal caffeine pulses failed to trigger self-sustaining Ca2+ waves on elevation of [Ca2+]o. Inhibition of SR Ca2+ uptake by thapsigargin in cells already preloaded with Ca2+ above normal levels did not prevent local Ca2+ elevations from triggering propagating waves. Moreover, wave velocity increased by 20 %. Tetracaine (0.75 mM) caused transient complete inhibition of both local and propagating Ca2+ signals, followed by full recovery of the responses due to increased SR Ca2+ accumulation. 3. Computer simulations using a numerical model with spatially distinct Ca2+ release sites suggested that increased amounts of releasable Ca2+ might not be sufficient to generate self-sustaining Ca2+ waves under conditions of Ca2+ overload unless the threshold of release site Ca2+ activation was set at relatively low levels (< 1.5 microM). 4. We conclude that the potentiation of SR Ca2+ release channels by luminal Ca2+ is an important factor in Ca2+ wave generation. Wave propagation does not require the translocation of Ca2+ from the spreading wave front into the SR. Instead, it relies on luminal Ca2+ sensitizing Ca2+ release channels to cytosolic Ca2+.

Algorithms↗

Surveying a blank field with the attentional spotlight.

Spatial localization is a unique aspect of selective attention that precedes and facilitates other aspects of sensory processing. A common model of spatial attention is an attentional spotlight that enlarges to fit attentional demands. It is unclear if this attentional spotlight expands to survey a blank field or to scan the spatial environment with a smaller attentional spotlight. Two tachistoscopic experiments with young adults investigated how attention is surveyed in a blank field. Exp. 1 consisted of single letters at two concentric regions and under different conditions of attentional demand. Reaction times were proportionally slower for stimuli occurring in a combination of the two regions located at different distances from the fixation point than for stimuli occurring in each region alone. This finding is not consistent with attentional spread to encompass the entire attentional field. The addition of more stimulus locations within each single region yielded significantly slower reaction times. Together these findings suggest that a small attentional spotlight serially monitors different regions of the visual field when there are anticipated locations to be attended.

Adolescent↗

[Spatial representation disorders in lesions of the right and left hemispheres of the brain].

Disturbances of space imaginations were examined in patients (adults and children) with affections of the posterior divisions of the brain hemispheres. The results of the examinations carried out with the use of Piaget's methods showed that the disturbances of the topological imaginations were associated mainly with affections of the right hemisphere (both in adults and children). Disturbances of projective imaginations and ideas on the coordinate system in adults were associated primarily with affections of the left hemisphere, or showed no connection with the side of the affection. The results obtained are at variance with the widely spread viewpoint that topological disturbances are associated primarily with affections of the right hemisphere, and the functional asymmetry remains unchanged with age.

Adolescent↗

Directional tuning of speed-related activation for reaching in the vertical plane in cerebellar ataxia.

The role of the cerebellum in the spatial tuning of goal-directed multi-joint movements in human is unknown. We analyzed the directional tuning of phasic EMG activities associated with upper limb reaching movements (12 targets) in the vertical plane in healthy subjects and in patients exhibiting cerebellar ataxia. Tuning of phasic EMG activities was investigated in seven muscles (brachioradialis, biceps, medial and long head of triceps, anterior and posterior deltoid, latissimus dorsi). We digitally compressed the EMG activities corresponding to slow reaches to the same targets into the time frame of the fast EMG traces. Estimates of gravity-related components were subtracted. Peaks of EMG activities in the resulting phasic traces were identified for each muscle and each target. Aberrant privileged directions of M Peak EMG (directions associated with the maximal peak of EMG amongst the 12 peaks of EMG activity in the sagittal plane) were found in all ataxic patients. Directional dominance, defined as the ratio of the M Peak EMG divided by the peak EMG in the opposite direction, was significantly higher in controls than in ataxic patients for one distal muscle (brachioradialis) and one proximal muscle (anterior deltoid). The spreading of EMG activities assessed by the global areas of the polar plots of phasic traces was broader in patients for the biceps and medial head of triceps. The distribution of densities of EMG activities (DDEMG) amongst the four quarters of the vertical plane, an index of the contrast in the intensities between quarters in polar plots, revealed increased values in control subjects for the brachioradialis, the biceps and the anterior deltoid as compared to ataxic patients. Representation of Net Vectors obtained from polar plots of peaks of EMG activities demonstrated an abnormal directional tuning in ataxic patients. In the majority of the cases, the Net Vector was outside the normal range for the following muscles: brachioradialis, biceps, anterior deltoid, posterior deltoid. This study reveals that cerebellar ataxia is associated with defective spatial properties of EMG activity during multiple joint movements. Privileged directions associated with M Peak EMG and Net Vectors are erroneous. We demonstrate that the cerebellum plays a determinant and unsuspected role in the spatial modulation of activation during speed-related action for reaching.

Adult↗

Temporal, spatial, and morphologic features of hair cell regeneration in the avian basilar papilla.

Hair cell-selective antibodies were used in combination with the nucleotide bromode-oxyuridine (BrdU) to examine the temporal, spatial, and morphologic progression of auditory hair cell regeneration in chicks after a single gentamicin injection. New hair cells are first identifiable with an antibody to class III beta (beta) tubulin (TuJ1) by 14 hours after BrdU incorporation, but progenitor cells in S phase and M phase are TuJ1-negative. TuJ1 labeling reveals that new hair cells are first detected at 3 days after gentamicin, in the base, and the emergence and maturation of regenerating hair cells spreads apically over time. Differentiation of regenerating hair cells consists of a progressive series of morphologic changes. During early differentiation (14 hours to 1 day after BrdU), regenerating hair cells are round or fusiform and remain near the lumen, where they are generated. During intermediate differentiation (2-4 days after BrdU), regenerating hair cells resemble support cells; their somata are elongated, their nuclei are in the support cell layer, and they appear to contact both the lumenal surface and the basal lamina. The 275-kDa hair cell antigen is first expressed in regenerating hair cells during this period. During late differentiation (7 days after BrdU and later), TuJ1-positive cells acquire the globose shape of mature hair cells. Labeling with antibodies to hair cell antigen, calmodulin, and ribosomal RNA confirms this morphologic progression. Examination of sister cells born at 3 days post-gentamicin reveals that there is equal likelihood that they will assume the hair cell or support cell fate (i.e., both asymmetric and symmetric differentiation occur).

Animals↗

Steel and c-kit in the development of avian melanocytes: a study of normally pigmented birds and of the hyperpigmented mutant silky fowl.

We describe here the expression of c-kit and Steel (Sl) genes during the development of melanocytes in normally pigmented strains of chick and quail compared to unpigmented (White Leghorn) and hyperpigmented (Silky Fowl) strains of chickens. By using the quail/chick chimera system, we found that the neural crest cells, which migrate dorso-laterally in the subectodermal mesenchyme to give rise to the melanocytes, express c-kit as early as E4, that is about 2 days after they have left the neural primordium. The Sl gene is expressed from E4 onward in the epidermis but not at all in the dermis at any developmental stage. As feather buds develop, Sl mRNA becomes restricted to the apical region of the feather filaments. During formation of the barbs and barbules of the down feather, production of the Steel factor is restricted to the external epidermal cells of the barbules. The cell bodies of the c-kit-positive melanocytes are then located in the internal border of the epidermal ridges and extend their processes toward the source of the Steel factor. We propose that the spatial restriction of Sl gene activity at that stage accounts for the morphology of the melanocytes and their vectorial secretion of melanin to the external barbule cells. As a whole, these results show that during skin development c-kit positive cells are present in the Steel factor-producing areas at the time when melanoblasts proliferate and differentiate. Interestingly, in the mouse, previous studies showed that the Sl gene is activated in the dermis where melanoblasts undergo most of their expansion (Nishikawa et al. [1991] EMBO J. 10:2111-2118). In the unpigmented and hyperpigmented mutants that we studied, expression of the Sl message, as judged quantitatively in Northern blots (for the SF embryos) or spatially by in situ hybridization, is similar to that observed in normal birds. In SF embryos the c-kit expressing melanoblasts migrate initially in the dorso-lateral migration pathway as in normal birds. However their number increases considerably in the dermis from E5 onward. From E7, they invade mesodermally derived organs that do not express the Sl gene. This suggests that another, still unknown, factor(s) is responsible for the survival, the proliferation, and the extensive spreading of melanocytic cells within the mesoderm of this mutant.

Animals↗

Effects of insect population size on evolution of resistance to transgenic crops.

Models of the evolution of insect resistance to transgenic crops have often assumed that population size is infinite or that carrying capacity is fixed. To evaluate potential effects of population size on resistance evolution, we conducted sensitivity analyses by using a stochastic, spatially explicit model based partly on the interaction between pink bollworm and Bacillus thuringiensis (Bt) cotton. We examined interactions of carrying capacity, region size, dispersal, and percentage of fields planted with Bt cotton. The median and variance in the time to resistance decreased as region size increased, regardless of carrying capacity. This occurred because larger regions were more likely to have at least one field in which resistance evolved rapidly and served as a source from which resistance spread throughout the region. Carrying capacity significantly affected the median time to resistance with 75% of fields planted with Bt cotton, but not with 50% Bt cotton. In contrast, carrying capacity significantly influenced the variance in the time to resistance with 50% Bt cotton, but not with 75% Bt cotton. We also found resistance evolution was affected by interactions between carrying capacity, dispersal, and the percentage of fields planted with Bt cotton. The high variability observed in our simulations indicates that factors affecting stochastic events can play an important role in the evolution of resistance. Because population size determines the extent to which stochastic events are important, reasonable estimates of population size are essential for devising robust models of resistance evolution.

Animals↗

Structural complexity effects on transverse propagation in a two-dimensional model of myocardium.

A thin sheet of cardiac tissue was modeled as a set of resistively coupled excitable cables with membrane dynamics described by the modified Beeler Reuter model. Transverse connections have a resistance Rn and are regularly distributed with a spacing delta on any given cable, to provide alternating input and output junctions. Flat wave longitudinal propagation corresponds to propagation along a single continuous cable since all units of the network are functionally isolated due to the absence of transverse current flow. Events on a given cable during flat transverse propagation include electrotonic spread of potential from input to output junctions, action potential initiation at input junctions, and collision at output junctions. The propagating two-dimensional transverse wavefront is an undulating transmembrane potential surface with highs at the input junctions and lows at the output junctions. The action potential upstroke is also modulated in a periodic manner with minimum and maximum Vmax at the input and output junctions respectively. Thus, the network is capable of a diversity of dynamic behavior spatially distributed in relation to the specific pattern of transverse connections chosen. Overall, the behavior of the network model is in good agreement with available structural and electrophysiological data on myocardium. In addition, this network topology allows to handle more easily parameters governing propagation and to avoid very large matrices which are costly in computational effort and overall computer time.

Computer Simulation↗

Reduction of aliasing in modulation transfer function measurements.

The images formed by many radiological systems are difficult to sample at spatial intervals small enough to avoid aliasing in the calculation of the system's modulation transfer function. However, if a system's response can be assumed to be symmetrical, this assumption can be used to effectively double the sampling density and to double the frequency limit before aliasing occurs. To accomplish this, a more complex algorithm is required. In this work, the formula for the calculation of the modulation transfer function from a symmetrical, one-dimensional line spread function is derived and a similar result for a symmetrical, two-dimensional point spread function is presented. The effect of noisy data and errors in the estimation of the offset of the center of the line spread function from a sampling point are investigated by simulation studies. For low noise (relative standard deviation of 1%) and an offset error of no more than 2% or 3% of a sampling interval, reasonable precision is obtained. These conditions appear to be achievable, especially when the noise is Poisson distributed.

Biometry↗