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The spatial dimension in population fluctuations

Theoretical research into the dynamics of coupled populations has suggested a rich ensemble of spatial structures that are created and maintained either by external disturbances or self-reinforcing interactions among the populations. Long-term data of the Canadian lynx from eight Canadian provinces display large-scale spatial synchrony in population fluctuations. The synchronous dynamics are not time-invariant, however, as pairs of populations that are initially in step may drift out of phase and back into phase. These observations are in agreement with predictions of a spatially-linked population model and support contemporary population ecology theory.

Journal Article↗

Persistence, chaos and synchrony in ecology and epidemiology.

The decline of species in natural habitats concerns ecologists, who view extinction as a danger and conservation of biological diversity as a goal. In contrast, the proliferation of 'undesirable' species is the principal concern of epidemiologists, who view persistence as a problem and eradication as an achievement. While ecologists and epidemiologists have essentially opposite goals, the mathematical structure of the population dynamics that they study is very similar. We briefly review the similarities and differences between these two fields, emphasizing recent work in both areas on the effects of spatial synchrony and dynamical chaos. We hope to stimulate further cross-fertilization of ideas between the disciplines.

Animals↗

Extinction dynamics and the regional persistence of a tree frog metapopulation.

The concept of a metapopulation acknowledges local extinctions as a natural part of the dynamics of a patchily distributed population. However, if extinctions are not balanced by recolonizations or if there is a high degree of spatial synchrony of local extinctions, this poses a threat to and will reduce the metapopulation persistence time. Here we show that, in a metapopulation network of 378 pond patches used by the tree frog (Hyla arborea), even though extinctions are frequent (mean extinction probability p(e) = 0.24) they pose no threat to the metapopulation as they are balanced by recolonizations (p(c) = 0.33). In any one year there was a pattern of large populations tending to persist while small populations became extinct. The total number of individuals belonging to populations that went extinct was small (< 5%) compared with those populations that persisted. A spatial autocorrelation analysis indicated no clustering of local extinctions. The tree frog metapopulation studied consisted of a set of larger, persistent populations mixed with smaller populations characterized by high turnover dynamics.

Animals↗

Differential effects of central and peripheral nerves on macrophages and microglia.

The poor ability of injured central nervous system (CNS) axons to regenerate has been correlated, at least partially, with a limited and suppressed postinjury inflammatory response. A key cell type in the inflammatory process is the macrophage, which can respond in various ways, depending on the conditions of stimulation. The aim of this study is to compare the activities of macrophages or microglia when encountering CNS and peripheral nervous systems (PNS), on the assumption that nerve-related differences in the inflammatory response may have implications for tissue repair and thus for nerve regeneration. Phagocytic activity of macrophages or of isolated brain-derived microglia was enhanced upon their exposure to sciatic (PNS) nerve segments, but inhibited by exposure to optic (CNS) nerve segments. Similarly, nitric oxide production by macrophages or microglia was induced by sciatic nerve segments but not by optic nerve segments. The previously demonstrated presence of a resident inhibitory activity in CNS nerve, could account, at least in part, for the inhibited phagocytic activity of blood-borne macrophages in CNS nerve as well as of microglia resident in the brain. It seems that the CNS microglia are reversibly immunosuppressed by the CNS environment, at least with respect to the activities examined here. It also appears from this study that the weak induction of early healing-related activities of macrophages/microglia in the environment of CNS might explain the subsequent failure of this environment to acquire growth-supportive properties in temporal and spatial synchrony with the needs of regrowing axons.

Animals↗

Biologically engineered protein-graft-poly(ethylene glycol) hydrogels: a cell adhesive and plasmin-degradable biosynthetic material for tissue repair.

To address the need for bioactive materials toward clinical applications in wound healing and tissue regeneration, an artificial protein was created by recombinant DNA methods and modified by grafting of poly(ethylene glycol) diacrylate. Subsequent photopolymerization of the acrylate-containing precursors yielded protein-graft-poly(ethylene glycol) hydrogels. The artificial protein contained repeating amino acid sequences based on fibrinogen and anti-thrombin III, comprising an RGD integrin-binding motif, two plasmin degradation sites, and a heparin-binding site. Two-dimensional adhesion studies showed that the artificial protein had specific integrin-binding capability based on the RGD motif contained in its fibrinogen-based sequence. Furthermore, heparin bound strongly to the protein's anti-thrombin III-based region. Protein-graft-poly(ethylene glycol) hydrogels were plasmin degradable, had Young's moduli up to 3.5 kPa, and supported three-dimensional outgrowth of human fibroblasts. Cell attachment in three dimensions resulted from specific cell-surface integrin binding to the material's RGD sequence. Hydrogel penetration by cells involved serine-protease mediated matrix degradation in temporal and spatial synchrony with cellular outgrowth. Protein-graft-poly(ethylene glycol) hydrogels represent a new and versatile class of biomimetic hybrid materials that hold clinical promise in serving as implants to promote wound healing and tissue regeneration.

Absorbable Implants↗

Complexity measures of event related potential surface Laplacian data calculated using the wavelet packet transform.

We describe a method to obtain estimates of EEG signal complexity using the well-established wavelet packet transform with best basis selection. In particular, we use the two-dimensional wavelet packet transform to obtain estimates of the complexity of two-dimensional images. This allows us to calculate complexity estimates of high-resolution brain potential maps generated from 61 scalp electrode Visual Oddball paradigm, grand-mean data. A significant reduction in the complexity of the surface Laplacian time-slices is observed during and after the Visual Potential 300 (P3) event for the target case, possibly as a result of increased spatial synchrony associated with visual-related tasks. We also present the results of a statistical analysis of the largest principal component of the time-varying complexity curves, for control, high-risk, and alcoholic groups of male subjects. Parametric and non-parametric analyses show differences in the complexity data which are significant between the control group and the alcoholic and high-risk groups.

Algorithms↗

DNA reveals high dispersal synchronizing the population dynamics of Canada lynx.

Population dynamics of Canada lynx (Lynx canadensis) have been of interest to ecologists for nearly sixty years. Two competing hypotheses concerning lynx population dynamics and large-scale spatial synchrony are currently debated. The first suggests that dispersal is substantial among lynx populations, and the second proposes that lynx at the periphery of their range exist in small, isolated patches that maintain cycle synchrony via correlation with extrinsic environmental factors. Resolving the nature of lynx population dynamics and dispersal is important both to ecological theory and to the conservation of threatened lynx populations: the lack of knowledge about connectivity between populations at the southern periphery of the lynx's geographic range delayed their legal listing in the United States. We test these competing hypotheses using microsatellite DNA markers and lynx samples from 17 collection sites in the core and periphery of the lynx's geographic range. Here we show high gene flow despite separation by distances greater than 3,100 km, supporting the dispersal hypothesis. We therefore suggest that management actions in the contiguous United States should focus on maintaining connectivity with the core of the lynx's geographic range.

Animals↗

Global asymptotic coherence in discrete dynamical systems.

Spatial synchrony (coherence) in dynamical systems is of both theoretical and applied importance. We address this problem for a generalization of coupled map lattices (CMLs). In the systems we study, which we term "meta-CMLs," the map at each lattice point may be multidimensional (corresponding, for example, to multispecies ecological systems in which all species have the same dispersal pattern). Most previous work on coherence of CMLs has focused on local stability. Here, we prove a global theorem that provides a useful sufficient condition guaranteeing decay of incoherence in meta-CMLs regardless of initial conditions and regardless of the nature of the attractors of the system. This result facilitates useful analyses of a variety of applied problems, including conservation of endangered species and eradication of pests or infectious diseases.

Journal Article↗

The organization of spontaneous leg movements in newborn infants.

Spontaneous, supine kicking in newborn (2- and 4-week-old) infants is described in terms of its temporal structure, interjoint coordination, and muscle activation characteristics as measured by surface electromyography. Phasic kick movements shoed a constrained temporal organization in the movement, but not the pause phases. Hip, knee, and ankle joints moved in temporal and spatial synchrony, and all three joints showed a rhythmical or periodic organization over time. EMGs revealed antagonist coactivation at the initiation of the flexor movement, but little or not extensor activity. The dorsal muscles, the gastrocnemius and hamstrings, showed less activity than the ventral pair, tibialis anterior and quadriceps. Burst and onset-to-peak durations were also constrained. As a result of neural mechanisms and biomechanical forces, newborn leg movements are structured muscle synergies. This organization has implications both for newborn functioning and for later development.

Journal Article↗

Oscillatory Neuronal Responses in the Visual Cortex of the Awake Macaque Monkey.

An important step in early visual processing is the segmentation of scenes. Features constituting individual objects have to be grouped together and segregated from those of other figures or the background. It has been proposed that this grouping could be achieved by synchronizing the fine temporal structure of responses from neurons excited by an individual figure. In the cat visual cortex evidence has been obtained that responses of feature-selective neurons have a distinctive oscillatory structure and can synchronize both within and across cortical areas, the synchronization depending on stimulus configuration. Here we investigate the generality of oscillatory responses and their synchronization and specifically whether these phenomena occur in extrastriate areas of the visual cortex of the awake behaving primate. We find in the caudal superior temporal sulcus of the macaque monkey (Macaca fascicularis) that adjacent neurons can synchronize their responses, in which case their discharges exhibit an oscillatory temporal structure. During such periods of local synchrony spatially separated cell groups can also synchronize their responses if activated with a single stimulus. These findings resemble those described previously for the cat visual cortex, except that in the awake monkey the oscillatory episodes tend to be of shorter duration and exhibit more variability of oscillation frequency.

Journal Article↗

Spontaneous spatio-temporal organization in yeast cell suspension.

Under suitable conditions of substrate supply, cell suspensions of yeast Saccharomyces uvarum may display synchronized oscillations of glycolytic metabolism. Also in an unstirred suspension, spatial patterns can be induced by continuously feeding enzymically liberated glucose into the system. the absorption of NADH in the suspension was measured in an annular cuvette. The observed structures display moving waves, which travel over a distance of some centimetres in the cell suspension and seem to originate from a volume element in which the phase is ahead of those of its neighbours. The wavelength is estimated to be abot 10 cm and the velocity of spreading of the wave is about 5 cm/min. Waves are only observed in the beginning of glycolytic oscillations. Subsequently the spatial synchrony usually increases and destroys the previous organization. Similar spatio-temporal structures are observed during aggregation of the slime mould Dictyostelium discoideum and in the chemical reaction system of Belousov and Zhabotinsky.

Absorption↗

Spatially and temporally synchronized atomic force and total internal reflection fluorescence microscopy for imaging and manipulating cells and biomolecules.

The atomic force microscope is a high-resolution scanning-probe instrument which has become an important tool for cellular and molecular biophysics in recent years but lacks the time resolution and functional specificities offered by fluorescence microscopic techniques. To exploit the advantages of both methods, here we developed a spatially and temporally synchronized total internal reflection fluorescence and atomic force microscope system. The instrument, which we hereby call STIRF-AFM, is a stage-scanning device in which the mechanical and optical axes are coaligned to achieve spatial synchrony. At each point of the scan the sample topography (atomic force microscope) and fluorescence (photon count or intensity) information are simultaneously recorded. The tool was tested and validated on various cellular (monolayer cells in which actin filaments and intermediate filaments were fluorescently labeled) and biomolecular (actin filaments and titin molecules) systems. We demonstrate that with the technique, correlated sample topography and fluorescence images can be recorded, soft biomolecular systems can be mechanically manipulated in a targeted fashion, and the fluorescence of mechanically stretched titin can be followed with high temporal resolution.

Actin Cytoskeleton↗

Evaluating the long-term metacommunity dynamics of tree hole mosquitoes.

Four different conceptual models of metacommunities have been proposed, termed "patch dynamics," "species sorting", "mass effect", and "neutral". These models simplify thinking about metacommunities and improve our understanding of the role of spatial dynamics both in structuring communities and in determining local and regional diversity. We tested whether mosquito communities inhabiting water-filled tree holes in southeastern Florida, U.S.A., displayed any of the characteristics and dynamics predicted by the four models. The densities of the five most common species in 3-8 tree holes were monitored every two weeks during 1978-2003. We tested relationships between habitat variables and species densities, spatial synchrony, the presence of life history trade-offs, and species turnover. Dynamics showed strong elements of species sorting, but with considerable turnover, as predicted by the patch dynamics model. Consistent with patch dynamics, there was substantial asynchrony in dynamics for different tree holes, substantial species turnover in space and time, and an occupancy/colonization trade-off. Substantial correlations of density and occupancy with tree hole volume were consistent with the species-sorting model, but unlike this model, species did not have permanent refuges. No evidence of mass effects was found, and correlations between habitat variables and dynamics were inconsistent with neutral models. Our results did not match a single model and therefore caution against overly simplifying metacommunity dynamics by using one dynamical characteristic to select a particular metacommunity perspective.

Animals↗

Spatial Scale of Population Synchrony: Environmental Correlation versus Dispersal and Density Regulation.

A stochastic model is developed to analyze the equilibrium spatial pattern of population synchrony, the correlation of temporal fluctuations in population density between localities. The expected population dynamics and the distribution of individual dispersal distance are homogeneous in space. Environmental stochasticity is caused by temporal fluctuations in the intrinsic rate of increase and/or carrying capacity of local populations that are correlated in space (but not time), the environmental correlation decreasing with distance. We analyze a linearized model for small fluctuations. Employing the standard deviation of a function in a given direction as a measure of scale, the spatial scale of population synchrony, lρ, is related to the spatial scales of environmental correlation, le, and individual dispersal, l, by the simple general formula [Formula: see text], where m is the individual dispersal rate and γ is the strength of population density regulation (or rate of return to equilibrium, [Formula: see text] in the logistic model). Relative to environmental correlation (the Moran effect), the contribution of individual dispersal to the spatial scale of synchrony is magnified by the ratio of the individual dispersal rate to the strength of density regulation. Thus, even if the scale of individual dispersal is smaller than that of environmental correlation, dispersal can substantially increase the scale of population synchrony for weakly regulated populations.

Moran effect↗

A spatial explanation for synchrony biases in perceptual grouping: consequences for the temporal-binding hypothesis.

If two images are shown in rapid sequential order, they are perceived as a single, fused image. Despite this, recent studies have revealed that fundamental perceptual processes are influenced by extremely brief temporal offsets in stimulus presentation. Some researchers have suggested that this is due to the action of a cortical temporal-binding mechanism, which would serve to keep multiple mental representations of one object distinct from those of other objects. There is now gathering evidence that these studies should be reassessed. This article describes evidence for sensitivity to fixational eye and head movements, which provides a purely spatial explanation for the earlier results. Taken in conjunction with other studies, the work serves to undermine the current body of behavioral evidence for a temporal-binding mechanism.

Brain↗

Prenatal exposure to temporal and spatial stimulus properties affects postnatal responsiveness to spatial contiguity in bobwhite quail chicks.

Little is known about how experiential factors guide and organize the development of intersensory perception. This study manipulated the amount of late prenatal and early postnatal experience with the temporal synchrony and spatial contiguity of audio-visual stimulation available to bobwhite quail embryos and hatchlings to explore this question. Results revealed that only embryos exposed to temporally synchronous and spatially contiguous audio-visual stimulation prior to hatching subsequently preferred spatially contiguous audio-visual maternal information following hatching, despite being denied postnatal visual experience. In contrast, embryos that did not receive exposure to both temporal synchrony and spatial contiguity (and were also denied postnatal visual experience) failed to show a preference for the spatial contiguity of maternal auditory and visual information following hatching. These results suggest that prenatal exposure to the amodal properties of temporal synchrony and spatial contiguity facilitate chicks' emerging sensitivity to the spatial contiguity of audio-visual information in the period following hatching.

Acoustic Stimulation↗

The role of spatial interactions in perceptual synchrony.

To understand how the visual system processes synchronies between visual patterns, we investigated the temporal acuity for detecting a Gabor pattern whose orientation was alternated (vertical-horizontal) in a different temporal phase from three other Gabor patterns. Thresholds of both advanced and lagged temporal-phase offsets were measured for various temporal frequencies of orientation alternation and for various spatial distances between Gabor patterns. The thresholds for advanced phase offsets were lower than those for lagged phase offsets; the target pattern whose orientation changed earlier than the others was easier to detect than the target whose orientation changed later by the same amount. It was found that the amount of this temporal asymmetry increased proportionally with the distance between patterns. The upper temporal-frequency limit of orientation alternation for detecting the target pattern also systematically decreased with the distance between patterns. These results were interpreted as reflecting the temporal dynamics of mutual interactions between local orientation detectors, which necessarily involve a greater degree of temporal blur and longer delays of interacting signals as the spatial distance between detectors increases. This explanation leads to the notion that perceptual synchrony between visual patterns is determined in a space-time relative manner.

Humans↗

Spatial population dynamics: analyzing patterns and processes of population synchrony.

The search for mechanisms behind spatial population synchrony is currently a major issue in population ecology. Theoretical studies highlight how synchronizing mechanisms such as dispersal, regionally correlated climatic variables and mobile enemies might interact with local dynamics to produce different patterns of spatial covariance. Specialized statistical methods, applied to large-scale survey data, aid in testing the theoretical predictions with empirical estimates. Observational studies and experiments on the demography of local populations are paramount to identify the true ecological mechanisms. The recent achievements illustrate the power of combining theory, observation and/or experimentation and statistical modeling in the ecological research protocol.

Journal Article↗